
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  118786 · 5^{110717}  1 
Verification status (*):  Proven 
Official Comment:  
Proofcode(s): (*):  p208 : Frase, Srsieve, SierpinskiRiesel, PRP, OpenPFGW 
Decimal Digits:  77393 (log_{10} is 77392.936735329) 
Rank (*):  46171 (digit rank is 1) 
Entrance Rank (*):  4657 
Currently on list? (*):  no 
Submitted:  10/14/2006 17:31:35 CDT 
Last modified:  10/14/2006 19:48:24 CDT 
Removed (*):  12/22/2006 14:56:29 CDT 
Database id:  78657 
Status Flags:  none 
Score (*):  38.7644 (normalized score 0.0053) 

Verification data:
The Top 5000 Primes is a list for proven primes only. In order to maintain the
integrity of this list, we seek to verify the primality of all submissions.
We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial
divide and PRP
check every entry before it is included in the list.
field  value 
prime_id  78657 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 118786 5 110717 1 2>&1 [Elapsed time: 8.898 seconds]

modified  20070303 21:00:43 
created  20061014 17:52:11 
id  86410 

field  value 
prime_id  78657 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw tp q"118786*5^1107171" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 118786*5^1107171 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 13, base 6+sqrt(13) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(32768,20) to FFT(32768,19) Reduced from FFT(32768,19) to FFT(32768,18) Reduced from FFT(32768,18) to FFT(32768,17) Reduced from FFT(32768,17) to FFT(32768,16) 514204 bit request FFT size=(32768,16) Running N+1 test using discriminant 13, base 8+sqrt(13) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(32768,20) to FFT(32768,19) Reduced from FFT(32768,19) to FFT(32768,18) Reduced from FFT(32768,18) to FFT(32768,17) Reduced from FFT(32768,17) to FFT(32768,16) 514204 bit request FFT size=(32768,16) Calling BrillhartLehmerSelfridge with factored part 99.99% 118786*5^1107171 is prime! (4446.3987s+0.0119s) [Elapsed time: 4446 seconds]

modified  20070303 21:00:43 
created  20061014 18:34:18 
id  86414 

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
