New Prime Found

By: | Post date: April 29, 2010 | Comments: 2 Comments

Posted in categories: Prime Search

18762*2*(41968149*2^23209+1)*(97254741*2^21701+1)*(12450795*2^11213+1)*(20092671*2^11213+1)*(28115529*2^11213+1)*(43998375*2^11213+1)*(99539031*2^11213+1)*(14024781*2^9941+1)*(26534229*2^9941+1)*(78981231*2^9689+1)*(57506259*2^96
89+1)*(24975705*2^9689+1)*(7770399*2^9689+1)*(99738639*2^4423+1)*(97478625*2^4423+1)*(96783729*2^4423+1)*(86445039*2^4423+1)*(86022459*2^4423+1)*(82860819*2^4423+1)*(82852119*2^4423+1)*(54983739*2^4423+1)*(37753119*2^4423+1)*(264
48255*2^4423+1)*(26055441*2^4423+1)*(24439281*2^4423+1)*(22820631*2^4423+1)*(17436999*2^4423+1)*(14395845*2^4423+1)*(12058929*2^4423+1)*(7288671*2^4423+1)*(96317565*2^4253+1)*(82195221*2^4253+1)*(77293269*2^4253+1)*(71596305*2^42
53+1)*(57309375*2^4253+1)*(56921445*2^4253+1)*(34719825*2^4253+1)*(16894545*2^4253+1)*(1792431*2^4253+1)*(97688691*2^3217+1)*(91257465*2^3217+1)*(91090419*2^3217+1)*(86093541*2^3217+1)*(85877469*2^3217+1)*(84069831*2^3217+1)*(795
33441*2^3217+1)*(78684369*2^3217+1)*(76317555*2^3217+1)*(76037751*2^3217+1)*(72552339*2^3217+1)*(68274339*2^3217+1)*(58155531*2^3217+1)*(53160021*2^3217+1)*(48317421*2^3217+1)*(44497059*2^3217+1)*(42114315*2^3217+1)*(41096715*2^3
217+1)*(39648561*2^3217+1)*(39327861*2^3217+1)*(34314159*2^3217+1)*(29652849*2^3217+1)*(24763389*2^3217+1)*(24430989*2^3217+1)*(23748699*2^3217+1)*(20007255*2^3217+1)*(18596781*2^3217+1)*(13656495*2^3217+1)*(11109435*2^3217+1)*(8
869755*2^3217+1)*(6894645*2^3217+1)*(5209209*2^3217+1)*(2851731*2^3217+1)*(96288201*2^2281+1)*(95937261*2^2281+1)*(95933985*2^2281+1)*(94364775*2^2281+1)*(92893239*2^2281+1)*(92748381*2^2281+1)*(90589905*2^2281+1)*(87734841*2^228
1+1)*(86566965*2^2281+1)*(86258499*2^2281+1)*(85734651*2^2281+1)*(84715839*2^2281+1)*(81532725*2^2281+1)*(79884849*2^2281+1)*(79081275*2^2281+1)*(76694835*2^2281+1)*(72081945*2^2281+1)*(72017001*2^2281+1)*(71253915*2^2281+1)*(688
93959*2^2281+1)*(68085225*2^2281+1)*(65410995*2^2281+1)*(63626145*2^2281+1)*(60039321*2^2281+1)*(56002311*2^2281+1)*(54061581*2^2281+1)*(53434575*2^2281+1)*(49409151*2^2281+1)*(41855025*2^2281+1)*(40910079*2^2281+1)*(40303905*2^2
281+1)*(40129041*2^2281+1)*(40018299*2^2281+1)*(31393209*2^2281+1)*(30810039*2^2281+1)*(27754761*2^2281+1)*(22185849*2^2281+1)*(20176311*2^2281+1)*(16289589*2^2281+1)*(14164635*2^2281+1)*(14147229*2^2281+1)*(11236485*2^2281+1)*(1
0213875*2^2281+1)*(4128945*2^2281+1)*(4039659*2^2281+1)*(4018065*2^2281+1)*(3928155*2^2281+1)*(3015531*2^2281+1)*(98028735*2^2203+1)*(97108935*2^2203+1)*(96046179*2^2203+1)*(95560221*2^2203+1)*(94884285*2^2203+1)*(94506579*2^2203
+1)*(91113195*2^2203+1)*(89055891*2^2203+1)*(88513845*2^2203+1)*(88293609*2^2203+1)*(87081549*2^2203+1)*(84254751*2^2203+1)*(78451869*2^2203+1)*(77693889*2^2203+1)*(76733511*2^2203+1)*(76650939*2^2203+1)*(76129479*2^2203+1)*(7458
5799*2^2203+1)+1

Proof:
$ more cp1.cert
$ ./pfgw -t -h”helper” cp1
PFGW Version 3.3.2.20100216.x86_Dev [GWNUM 25.13]

Resuming input file cp1 at line 2

Primality testing
18762*2*(41968149*2^23209+1)*(97254741*2^21701+1)*(12450795*2^11213+1)*(20092671*2^11213+1)*(28115529*2^11213+1)*(43998375*2^11213+1)*(99539031*2^11213+1)*(14024781*2^9941+1)*(26534229*2^9941+1)*(78981231*2^9689+1)*(57506259*2^96
89+1)*(24975705*2^9689+1)*(7770399*2^9689+1)*(99738639*2^4423+1)*(97478625*2^4423+1)*(96783729*2^4423+1)*(86445039*2^4423+1)*(86022459*2^4423+1)*(82860819*2^4423+1)*(82852119*2^4423+1)*(54983739*2^4423+1)*(37753119*2^4423+1)*(264
48255*2^4423+1)*(26055441*2^4423+1)*(24439281*2^4423+1)*(22820631*2^4423+1)*(17436999*2^4423+1)*(14395845*2^4423+1)*(12058929*2^4423+1)*(7288671*2^4423+1)*(96317565*2^4253+1)*(82195221*2^4253+1)*(77293269*2^4253+1)*(71596305*2^42
53+1)*(57309375*2^4253+1)*(56921445*2^4253+1)*(34719825*2^4253+1)*(16894545*2^4253+1)*(1792431*2^4253+1)*(97688691*2^3217+1)*(91257465*2^3217+1)*(91090419*2^3217+1)*(86093541*2^3217+1)*(85877469*2^3217+1)*(84069831*2^3217+1)*(795
33441*2^3217+1)*(78684369*2^3217+1)*(76317555*2^3217+1)*(76037751*2^3217+1)*(72552339*2^3217+1)*(68274339*2^3217+1)*(58155531*2^3217+1)*(53160021*2^3217+1)*(48317421*2^3217+1)*(44497059*2^3217+1)*(42114315*2^3217+1)*(41096715*2^3
217+1)*(39648561*2^3217+1)*(39327861*2^3217+1)*(34314159*2^3217+1)*(29652849*2^3217+1)*(24763389*2^3217+1)*(24430989*2^3217+1)*(23748699*2^3217+1)*(20007255*2^3217+1)*(18596781*2^3217+1)*(13656495*2^3217+1)*(11109435*2^3217+1)*(8
869755*2^3217+1)*(6894645*2^3217+1)*(5209209*2^3217+1)*(2851731*2^3217+1)*(96288201*2^2281+1)*(95937261*2^2281+1)*(95933985*2^2281+1)*(94364775*2^2281+1)*(92893239*2^2281+1)*(92748381*2^2281+1)*(90589905*2^2281+1)*(87734841*2^228
1+1)*(86566965*2^2281+1)*(86258499*2^2281+1)*(85734651*2^2281+1)*(84715839*2^2281+1)*(81532725*2^2281+1)*(79884849*2^2281+1)*(79081275*2^2281+1)*(76694835*2^2281+1)*(72081945*2^2281+1)*(72017001*2^2281+1)*(71253915*2^2281+1)*(688
93959*2^2281+1)*(68085225*2^2281+1)*(65410995*2^2281+1)*(63626145*2^2281+1)*(60039321*2^2281+1)*(56002311*2^2281+1)*(54061581*2^2281+1)*(53434575*2^2281+1)*(49409151*2^2281+1)*(41855025*2^2281+1)*(40910079*2^2281+1)*(40303905*2^2
281+1)*(40129041*2^2281+1)*(40018299*2^2281+1)*(31393209*2^2281+1)*(30810039*2^2281+1)*(27754761*2^2281+1)*(22185849*2^2281+1)*(20176311*2^2281+1)*(16289589*2^2281+1)*(14164635*2^2281+1)*(14147229*2^2281+1)*(11236485*2^2281+1)*(1
0213875*2^2281+1)*(4128945*2^2281+1)*(4039659*2^2281+1)*(4018065*2^2281+1)*(3928155*2^2281+1)*(3015531*2^2281+1)*(98028735*2^2203+1)*(97108935*2^2203+1)*(96046179*2^2203+1)*(95560221*2^2203+1)*(94884285*2^2203+1)*(94506579*2^2203
+1)*(91113195*2^2203+1)*(89055891*2^2203+1)*(88513845*2^2203+1)*(88293609*2^2203+1)*(87081549*2^2203+1)*(84254751*2^2203+1)*(78451869*2^2203+1)*(77693889*2^2203+1)*(76733511*2^2203+1)*(76650939*2^2203+1)*(76129479*2^2203+1)*(7458
5799*2^2203+1)+1
[N-1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper
Running N-1 test using base 2
Calling Brillhart-Lehmer-Selfridge with factored part 33.42%
18762*2*(41968149*2^23209+1)*(97254741*2^21701+1)*(12450795*2^11213+1)*(20092671*2^11213+1)*(28115529*2^11213+1)*(43998375*2^11213+1)*(99539031*2^11213+1)*(14024781*2^9941+1)*(26534229*2^9941+1)*(78981231*2^9689+1)*(57506259*2^96
89+1)*(24975705*2^9689+1)*(7770399*2^9689+1)*(99738639*2^4423+1)*(97478625*2^4423+1)*(96783729*2^4423+1)*(86445039*2^4423+1)*(86022459*2^4423+1)*(82860819*2^4423+1)*(82852119*2^4423+1)*(54983739*2^4423+1)*(37753119*2^4423+1)*(264
48255*2^4423+1)*(26055441*2^4423+1)*(24439281*2^4423+1)*(22820631*2^4423+1)*(17436999*2^4423+1)*(14395845*2^4423+1)*(12058929*2^4423+1)*(7288671*2^4423+1)*(96317565*2^4253+1)*(82195221*2^4253+1)*(77293269*2^4253+1)*(71596305*2^42
53+1)*(57309375*2^4253+1)*(56921445*2^4253+1)*(34719825*2^4253+1)*(16894545*2^4253+1)*(1792431*2^4253+1)*(97688691*2^3217+1)*(91257465*2^3217+1)*(91090419*2^3217+1)*(86093541*2^3217+1)*(85877469*2^3217+1)*(84069831*2^3217+1)*(795
33441*2^3217+1)*(78684369*2^3217+1)*(76317555*2^3217+1)*(76037751*2^3217+1)*(72552339*2^3217+1)*(68274339*2^3217+1)*(58155531*2^3217+1)*(53160021*2^3217+1)*(48317421*2^3217+1)*(44497059*2^3217+1)*(42114315*2^3217+1)*(41096715*2^3
217+1)*(39648561*2^3217+1)*(39327861*2^3217+1)*(34314159*2^3217+1)*(29652849*2^3217+1)*(24763389*2^3217+1)*(24430989*2^3217+1)*(23748699*2^3217+1)*(20007255*2^3217+1)*(18596781*2^3217+1)*(13656495*2^3217+1)*(11109435*2^3217+1)*(8
869755*2^3217+1)*(6894645*2^3217+1)*(5209209*2^3217+1)*(2851731*2^3217+1)*(96288201*2^2281+1)*(95937261*2^2281+1)*(95933985*2^2281+1)*(94364775*2^2281+1)*(92893239*2^2281+1)*(92748381*2^2281+1)*(90589905*2^2281+1)*(87734841*2^228
1+1)*(86566965*2^2281+1)*(86258499*2^2281+1)*(85734651*2^2281+1)*(84715839*2^2281+1)*(81532725*2^2281+1)*(79884849*2^2281+1)*(79081275*2^2281+1)*(76694835*2^2281+1)*(72081945*2^2281+1)*(72017001*2^2281+1)*(71253915*2^2281+1)*(688
93959*2^2281+1)*(68085225*2^2281+1)*(65410995*2^2281+1)*(63626145*2^2281+1)*(60039321*2^2281+1)*(56002311*2^2281+1)*(54061581*2^2281+1)*(53434575*2^2281+1)*(49409151*2^2281+1)*(41855025*2^2281+1)*(40910079*2^2281+1)*(40303905*2^2
281+1)*(40129041*2^2281+1)*(40018299*2^2281+1)*(31393209*2^2281+1)*(30810039*2^2281+1)*(27754761*2^2281+1)*(22185849*2^2281+1)*(20176311*2^2281+1)*(16289589*2^2281+1)*(14164635*2^2281+1)*(14147229*2^2281+1)*(11236485*2^2281+1)*(1
0213875*2^2281+1)*(4128945*2^2281+1)*(4039659*2^2281+1)*(4018065*2^2281+1)*(3928155*2^2281+1)*(3015531*2^2281+1)*(98028735*2^2203+1)*(97108935*2^2203+1)*(96046179*2^2203+1)*(95560221*2^2203+1)*(94884285*2^2203+1)*(94506579*2^2203
+1)*(91113195*2^2203+1)*(89055891*2^2203+1)*(88513845*2^2203+1)*(88293609*2^2203+1)*(87081549*2^2203+1)*(84254751*2^2203+1)*(78451869*2^2203+1)*(77693889*2^2203+1)*(76733511*2^2203+1)*(76650939*2^2203+1)*(76129479*2^2203+1)*(7458
5799*2^2203+1)+1
is prime! (3941.5612s+0.2180s)

helper:
41968149*2^23209+1
97254741*2^21701+1
12450795*2^11213+1
20092671*2^11213+1
28115529*2^11213+1
43998375*2^11213+1
99539031*2^11213+1
14024781*2^9941+1
26534229*2^9941+1
78981231*2^9689+1
57506259*2^9689+1
24975705*2^9689+1
7770399*2^9689+1
99738639*2^4423+1
97478625*2^4423+1
96783729*2^4423+1
86445039*2^4423+1
86022459*2^4423+1
82860819*2^4423+1
82852119*2^4423+1
54983739*2^4423+1
37753119*2^4423+1
26448255*2^4423+1
26055441*2^4423+1
24439281*2^4423+1
22820631*2^4423+1
17436999*2^4423+1
14395845*2^4423+1
12058929*2^4423+1
7288671*2^4423+1
96317565*2^4253+1
82195221*2^4253+1
77293269*2^4253+1
71596305*2^4253+1
57309375*2^4253+1
56921445*2^4253+1
34719825*2^4253+1
16894545*2^4253+1
1792431*2^4253+1
97688691*2^3217+1
91257465*2^3217+1
91090419*2^3217+1
86093541*2^3217+1
85877469*2^3217+1
84069831*2^3217+1
79533441*2^3217+1
78684369*2^3217+1
76317555*2^3217+1
76037751*2^3217+1
72552339*2^3217+1
68274339*2^3217+1
58155531*2^3217+1
53160021*2^3217+1
48317421*2^3217+1
44497059*2^3217+1
42114315*2^3217+1
41096715*2^3217+1
39648561*2^3217+1
39327861*2^3217+1
34314159*2^3217+1
29652849*2^3217+1
24763389*2^3217+1
24430989*2^3217+1
23748699*2^3217+1
20007255*2^3217+1
18596781*2^3217+1
13656495*2^3217+1
11109435*2^3217+1
8869755*2^3217+1
6894645*2^3217+1
5209209*2^3217+1
96288201*2^2281+1
95937261*2^2281+1
95933985*2^2281+1
94364775*2^2281+1
92893239*2^2281+1
92748381*2^2281+1
90589905*2^2281+1
87734841*2^2281+1
86566965*2^2281+1
86258499*2^2281+1
85734651*2^2281+1
84715839*2^2281+1
81532725*2^2281+1
79884849*2^2281+1
79081275*2^2281+1
76694835*2^2281+1
72081945*2^2281+1
72017001*2^2281+1
71253915*2^2281+1
68893959*2^2281+1
68085225*2^2281+1
65410995*2^2281+1
63626145*2^2281+1
60039321*2^2281+1
56002311*2^2281+1
54061581*2^2281+1
53434575*2^2281+1
49409151*2^2281+1
41855025*2^2281+1
40910079*2^2281+1
40303905*2^2281+1
40129041*2^2281+1
40018299*2^2281+1
31393209*2^2281+1
30810039*2^2281+1
27754761*2^2281+1
22185849*2^2281+1
20176311*2^2281+1
16289589*2^2281+1
14164635*2^2281+1
14147229*2^2281+1
11236485*2^2281+1
10213875*2^2281+1
4128945*2^2281+1
4039659*2^2281+1
4018065*2^2281+1
3928155*2^2281+1
3015531*2^2281+1
98028735*2^2203+1
97108935*2^2203+1
96046179*2^2203+1
95560221*2^2203+1
94884285*2^2203+1
94506579*2^2203+1
91113195*2^2203+1
89055891*2^2203+1
88513845*2^2203+1
88293609*2^2203+1
87081549*2^2203+1
84254751*2^2203+1
78451869*2^2203+1
77693889*2^2203+1
76733511*2^2203+1
76650939*2^2203+1
76129479*2^2203+1
74585799*2^2203+1

All the helpers are proven primes by pfgw N-1 method, and all of them are p+2 term of twin prime pairs.

2 Comments

  • how to invest in gold says:
    June 24, 2010 at 12:59 am

    Thanks for

    your sharing, it’s very useful

  • leizhou says:
    May 4, 2010 at 8:01 pm

    Primality testing 41968149*2^23209+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.89%
    41968149*2^23209+1 is prime! (0.8591s+0.0001s)
    Primality testing 97254741*2^21701+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.88%
    97254741*2^21701+1 is prime! (0.5506s+0.0001s)
    Primality testing 12450795*2^11213+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.80%
    12450795*2^11213+1 is prime! (0.1308s+0.0001s)
    Primality testing 20092671*2^11213+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.79%
    20092671*2^11213+1 is prime! (0.1307s+0.0001s)
    Primality testing 28115529*2^11213+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.79%
    28115529*2^11213+1 is prime! (0.1307s+0.0001s)
    Primality testing 43998375*2^11213+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.78%
    43998375*2^11213+1 is prime! (0.1309s+0.0001s)
    Primality testing 99539031*2^11213+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.77%
    99539031*2^11213+1 is prime! (0.1324s+0.0001s)
    Primality testing 14024781*2^9941+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.77%
    14024781*2^9941+1 is prime! (0.1170s+0.0001s)
    Primality testing 26534229*2^9941+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.76%
    26534229*2^9941+1 is prime! (0.1168s+0.0001s)
    Primality testing 78981231*2^9689+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.73%
    78981231*2^9689+1 is prime! (0.1125s+0.0001s)
    Primality testing 57506259*2^9689+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.74%
    57506259*2^9689+1 is prime! (0.1124s+0.0001s)
    Primality testing 24975705*2^9689+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.75%
    24975705*2^9689+1 is prime! (0.1128s+0.0001s)
    Primality testing 7770399*2^9689+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.77%
    7770399*2^9689+1 is prime! (0.1131s+0.0001s)
    Primality testing 99738639*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    99738639*2^4423+1 is prime! (0.0258s+0.0001s)
    Primality testing 97478625*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    97478625*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 96783729*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    96783729*2^4423+1 is prime! (0.0300s+0.0001s)
    Primality testing 86445039*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    86445039*2^4423+1 is prime! (0.0260s+0.0001s)
    Primality testing 86022459*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    86445039*2^4423+1 is prime! (0.0260s+0.0001s)
    Primality testing 86022459*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    86022459*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 82860819*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    82860819*2^4423+1 is prime! (0.0258s+0.0001s)
    Primality testing 82852119*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    82852119*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 54983739*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.44%
    54983739*2^4423+1 is prime! (0.0266s+0.0001s)
    Primality testing 37753119*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.44%
    37753119*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 26448255*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.46%
    26448255*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 26055441*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.46%
    26055441*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 24439281*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.46%
    24439281*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 22820631*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.46%
    22820631*2^4423+1 is prime! (0.0262s+0.0001s)
    Primality testing 17436999*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.46%
    17436999*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 14395845*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.48%
    14395845*2^4423+1 is prime! (0.0260s+0.0001s)
    Primality testing 12058929*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.48%
    12058929*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 7288671*2^4423+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.51%
    7288671*2^4423+1 is prime! (0.0259s+0.0001s)
    Primality testing 96317565*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.39%
    96317565*2^4253+1 is prime! (0.0198s+0.0001s)
    Primality testing 82195221*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.39%
    82195221*2^4253+1 is prime! (0.0197s+0.0001s)
    Primality testing 77293269*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.39%
    77293269*2^4253+1 is prime! (0.0197s+0.0001s)
    Primality testing 71596305*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.39%
    71596305*2^4253+1 is prime! (0.0196s+0.0001s)
    Primality testing 57309375*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    57309375*2^4253+1 is prime! (0.0195s+0.0001s)
    Primality testing 56921445*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    56921445*2^4253+1 is prime! (0.0195s+0.0001s)
    Primality testing 34719825*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.42%
    34719825*2^4253+1 is prime! (0.0195s+0.0001s)
    Primality testing 16894545*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.44%
    16894545*2^4253+1 is prime! (0.0195s+0.0001s)
    Primality testing 1792431*2^4253+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.53%
    1792431*2^4253+1 is prime! (0.0194s+0.0001s)
    Primality testing 97688691*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    97688691*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 91257465*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 17
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    91257465*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 91090419*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 19
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    91090419*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 86093541*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    86093541*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 85877469*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    85877469*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 84069831*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    84069831*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 79533441*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    79533441*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 78684369*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    78684369*2^3217+1 is prime! (0.0142s+0.0001s)
    Primality testing 76317555*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    76317555*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 76037751*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    76037751*2^3217+1 is prime! (0.0141s+0.0001s)
    Primality testing 72552339*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    72552339*2^3217+1 is prime! (0.0141s+0.0001s)
    Primality testing 68274339*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.20%
    68274339*2^3217+1 is prime! (0.0142s+0.0001s)
    Primality testing 58155531*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    58155531*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 53160021*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    53160021*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 48317421*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    48317421*2^3217+1 is prime! (0.0143s+0.0001s)
    Primality testing 44497059*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    44497059*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 42114315*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    42114315*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 41096715*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    41096715*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 39648561*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    39648561*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 39327861*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    39327861*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 34314159*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.23%
    34314159*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 29652849*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    29652849*2^3217+1 is prime! (0.0138s+0.0001s)
    Primality testing 24763389*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 23
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    24763389*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 24430989*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    24430989*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 23748699*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    23748699*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 20007255*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    20007255*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 18596781*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.26%
    18596781*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 13656495*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.29%
    13656495*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 11109435*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.29%
    11109435*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 8869755*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.29%
    8869755*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 6894645*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.32%
    6894645*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 5209209*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.32%
    5209209*2^3217+1 is prime! (0.0139s+0.0001s)
    Primality testing 2851371*2^3217+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.35%
    2851371*2^3217+1 is prime! (0.0140s+0.0001s)
    Primality testing 96288201*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    96288201*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 95937261*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    95937261*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 95933985*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 31
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    95933985*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 94364775*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    94364775*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 92893239*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    92893239*2^2281+1 is prime! (0.0085s+0.0001s)
    Primality testing 92748381*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    92748381*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 90589905*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    90589905*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 87734841*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    87734841*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 86566965*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    86566965*2^2281+1 is prime! (0.0085s+0.0001s)
    Primality testing 86258499*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    86258499*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 85734651*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    85734651*2^2281+1 is prime! (0.0086s+0.0001s)
    Primality testing 84715839*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    84715839*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 81532725*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    81532725*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 79884849*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    79884849*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 79081275*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    79081275*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 76694835*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    76694835*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 72081945*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 19
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    72081945*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 72017001*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    72017001*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 71253915*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    71253915*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 68893959*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    68893959*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 68085225*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.87%
    68085225*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 65410995*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    65410995*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 63626145*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    63626145*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 60039321*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    60039321*2^2281+1 is prime! (0.0085s+0.0001s)
    Primality testing 56002311*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    56002311*2^2281+1 is prime! (0.0085s+0.0001s)
    Primality testing 54061581*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    54061581*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 53434575*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 17
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    53434575*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 49409151*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    49409151*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 41855025*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    41855025*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 40910079*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    40910079*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 40303905*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    40303905*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 40129041*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    40129041*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 40018299*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.92%
    40018299*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 31393209*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.96%
    31393209*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 30810039*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.96%
    30810039*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 27754761*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.96%
    27754761*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 22185849*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 98.96%
    22185849*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 20176311*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.96%
    20176311*2^2281+1 is prime! (0.0085s+0.0001s)
    Primality testing 16289589*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.00%
    16289589*2^2281+1 is prime! (0.0082s+0.0001s)
    Primality testing 14164635*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.00%
    14164635*2^2281+1 is prime! (0.0084s+0.0001s)
    Primality testing 14147229*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 99.00%
    14147229*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 11236485*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.00%
    11236485*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 10213875*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.00%
    10213875*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 4128945*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.09%
    4128945*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 4039659*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.09%
    4039659*2^2281+1 is prime! (0.0082s+0.0001s)
    Primality testing 4018065*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 99.09%
    4018065*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 3928155*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 13
    Calling Brillhart-Lehmer-Selfridge with factored part 99.09%
    3928155*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 3015531*2^2281+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 99.09%
    3015531*2^2281+1 is prime! (0.0083s+0.0001s)
    Primality testing 98028735*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    98028735*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 97108935*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 17
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    97108935*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 96046179*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    96046179*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 95560221*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    95560221*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 94884285*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    94884285*2^2203+1 is prime! (0.0083s+0.0001s)
    Primality testing 94506579*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    94506579*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 91113195*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    91113195*2^2203+1 is prime! (0.0082s+0.0001s)
    Primality testing 89055891*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    89055891*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 88513845*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    88513845*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 88293609*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    88293609*2^2203+1 is prime! (0.0082s+0.0001s)
    Primality testing 87081549*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    87081549*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 84254751*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 11
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    84254751*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 78451869*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    78451869*2^2203+1 is prime! (0.0084s+0.0001s)
    Primality testing 77693889*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    77693889*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 76733511*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 7
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    76733511*2^2203+1 is prime! (0.0084s+0.0001s)
    Primality testing 76650939*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    76650939*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 76129479*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    76129479*2^2203+1 is prime! (0.0081s+0.0001s)
    Primality testing 74585799*2^2203+1 [N-1, Brillhart-Lehmer-Selfridge]
    Running N-1 test using base 5
    Calling Brillhart-Lehmer-Selfridge with factored part 98.83%
    74585799*2^2203+1 is prime! (0.0082s+0.0001s)

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