According to Goldbach’s conjecture, any 2*p = p + p fulfills it. This can be a little stronger, to make 2*p=p1+p2, p1 <> p2, it still stands. For example: “Prime[5]:11+/-6*1=5+17” “Prime[6]:13+/-6*1=7+19” “Prime[7]:17+/-6*1=11+23” “Prime[8]:19+/-6*2=7+31” “Prime[9]:23+/-6*1=17+29” “Prime[10]:29+/-6*2=17+41” “Prime[11]:31+/-6*2=19+43” “Prime[12]:37+/-6*1=31+43” “Prime[13]:41+/-6*2=29+53” “Prime[14]:43+/-6*4=19+67” The full list up to: “Prime[1306583450]:30158696947+/-6*185=30158695837+30158698057” is downloadable as GoldbachAverage_typed_ranks.primes.tgz (caution, large file). It is straight […]
Upgrade RHEL5 to RHEL6
Redhat always recommends to reinstall from scratch for a major version upgrade of its RHEL system. However, if you have a highly customized system with plenty third party softwares and non-standard settings, even if you have a full record of all customer settings, it will still be a big job, days, and aftermath to have […]
Linux reboot without chkdisk
add option fastboot in grub.
General rule of PRP
For any positive integer k, if it can be factored to the form k=p1^m1*p2^m2*…*pn^mn suppose q is a prime number such that q is not a factor of k, then Mod[q^(p*(p1-1)*(p2-1)*…*(pn-1)/（p1*p2*…*pn）), k]=1 Special: If k is a prime, and q is a different prime number, Mod[q^(k-1), k] = 1
OEIS-A139602 first 1000 found
“00001:Prime[5]:11+/-6*1=5+17” “00002:Prime[8]:19+/-6*2=7+31” “00003:Prime[18]:61+/-6*3=43+79” “00004:Prime[14]:43+/-6*4=19+67” “00005:Prime[25]:97+/-6*5=67+127” “00006:Prime[38]:163+/-6*6=127+199” “00007:Prime[43]:191+/-6*7=149+233” “00008:Prime[50]:229+/-6*8=181+277” “00009:Prime[61]:283+/-6*9=229+337” “00010:Prime[48]:223+/-6*10=163+283” “00011:Prime[132]:743+/-6*11=677+809” “00012:Prime[167]:991+/-6*12=919+1063” “00013:Prime[100]:541+/-6*13=463+619” “00014:Prime[88]:457+/-6*14=373+541” “00015:Prime[151]:877+/-6*15=787+967” “00016:Prime[217]:1327+/-6*16=1231+1423” “00017:Prime[176]:1049+/-6*17=947+1151” “00018:Prime[216]:1321+/-6*18=1213+1429” “00019:Prime[270]:1733+/-6*19=1619+1847” “00020:Prime[214]:1307+/-6*20=1187+1427” “00021:Prime[300]:1987+/-6*21=1861+2113” “00022:Prime[785]:6011+/-6*22=5879+6143” “00023:Prime[429]:2971+/-6*23=2833+3109” “00024:Prime[687]:5153+/-6*24=5009+5297” “00025:Prime[308]:2029+/-6*25=1879+2179” “00026:Prime[1083]:8693+/-6*26=8537+8849” “00027:Prime[374]:2551+/-6*27=2389+2713” “00028:Prime[644]:4789+/-6*28=4621+4957” “00029:Prime[713]:5407+/-6*29=5233+5581” “00030:Prime[320]:2129+/-6*30=1949+2309” “00031:Prime[840]:6473+/-6*31=6287+6659” “00032:Prime[608]:4481+/-6*32=4289+4673” “00033:Prime[654]:4889+/-6*33=4691+5087” “00034:Prime[577]:4217+/-6*34=4013+4421” “00035:Prime[1005]:7951+/-6*35=7741+8161” “00036:Prime[1409]:11743+/-6*36=11527+11959” “00037:Prime[1631]:13789+/-6*37=13567+14011” “00038:Prime[1215]:9851+/-6*38=9623+10079” “00039:Prime[928]:7253+/-6*39=7019+7487” “00040:Prime[1386]:11491+/-6*40=11251+11731” “00041:Prime[2304]:20393+/-6*41=20147+20639” “00042:Prime[1984]:17231+/-6*42=16979+17483” “00043:Prime[1203]:9749+/-6*43=9491+10007” “00044:Prime[2336]:20747+/-6*44=20483+21011” “00045:Prime[853]:6599+/-6*45=6329+6869” “00046:Prime[1638]:13873+/-6*46=13597+14149” “00047:Prime[1899]:16369+/-6*47=16087+16651” “00048:Prime[1806]:15461+/-6*48=15173+15749” “00049:Prime[1974]:17123+/-6*49=16829+17417” “00050:Prime[1594]:13451+/-6*50=13151+13751” “00051:Prime[1228]:9967+/-6*51=9661+10273” “00052:Prime[2958]:26959+/-6*52=26647+27271” “00053:Prime[2371]:21089+/-6*53=20771+21407” “00054:Prime[4376]:41863+/-6*54=41539+42187” “00055:Prime[2999]:27437+/-6*55=27107+27767” […]
Quaked around the pacific. When will it be for California?
00:58:53 UTC on Sunday, December 26, 2004 – Indonesia, Indian Ocean Floor M9.1 to 9.3 Earthquake triggered Tsunami, killed over 230,000 people in fourteen countries. 14:28:01.42 CST (02:28:01.42 EDT)[13] on May 12, 2008 – Sichuan China, M8.0 Earthquake, killed at least 68,000 people. 06:34 UTC February 27, 2010 – off the coast of the Maule […]
8.9 Earthquake struck Japan triggering a Tsunami
Mar 11, 2011, 13:46, A ferocious tsunami spawned by one of the largest earthquakes ever recorded slammed Japan’s eastern coast today, killing at least 60 people as it swept away boats, cars and homes while widespread fires burned out of control. Tsunami warnings blanketed the entire Pacific, as far away as South America, Canada, Alaska […]
upgrade RHEL5 to RHEL6
By adding in “upgradeany” after the RHEL6 installation CD/DVD’s GRUB interface, it allowed to do the upgrading. (Press TAB, and add on upgradeany after initre=initrd.img) However, it failed on package kde-filesystem. To resolve this, press Ctrl-Alt-F2, it will bring you into a shell of the installation environment. From here, you can try $ cd /mnt/source/Packages […]
Install NVIDIA driver to RHEL6
$ setsebool -P allow_execstack on $ nano /etc/modprobe.d/nvidia-installer-disable-nouveau.conf and put in blacklist nouveau options nouveau modeset=0 $ nano /boot/grub/grub.conf and append nomodeset rdblacklist=nouveau to the kernel line $ nano /etc/inittab change id:5:initdefault: to id:3:initdefault: $ shutdown -r now After reboot: $ sh NVIDIA-Linux-x86_64-xxx.xx.xx.run It will install normally. $ nano /etc/inittab change id:3:initdefault: to id:5:initdefault: $ […]
19th Recursive prime in the form of p[k+1]=l(k+1)*(m[k]^2-n[k]^2)+/-1, while p[k]=m[k]+n[k]
Define: p[1] = m[1] + n[1] = 2 + 1 p[2](l=2) = 2*(m[1]^2-n[1]^2)-1 = 2*(4-1)-1 = 5 = 2^3 – 3 p[3](l=2) = 2*(2^6-3^2)-1 = 2^7 – 19 p[4](l=4) = 4*(2^14 – 19^2) -1 = 2^16 – 1445 p[5](l=8) = 8*(2^32 – 1445^2) +1 = 2^35 – 16704199 p[6](l=18) = 2^71*3^2 – (16704199^2*18+1) p[7](l=84) = […]