
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:  2072644824759 · 2^{33333} + 5 
Verification status (*):  PRP 
Official Comment:  Triplet (3), ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  FE5 : Luhn, Morain, FastECPP 
Decimal Digits:  10047 (log_{10} is 10046.549370354) 
Rank (*):  72966 (digit rank is 2) 
Entrance Rank (*):  39226 
Currently on list? (*):  no 
Submitted:  11/18/2008 07:06:55 CDT 
Last modified:  11/20/2008 19:20:03 CDT 
Database id:  85776 
Status Flags:  Verify 
Score (*):  32.4545 (normalized score 0) 

Archival tags:
There are certain forms classed as
archivable: these prime may (at times)
remain on this list even if they do not make
the Top 5000 proper. Such primes are tracked with archival
tags.
 Triplet (archivable class *)
 Prime on list: no, rank 6
Subcategory: "Triplet (3)"
(archival tag id 194284, tag last modified 20171127 10:20:20)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 158
Subcategory: "ECPP"
(archival tag id 194283, tag last modified 20171127 10:20:19)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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  85776 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 2072644824759 2 33333 5 2>&1 [Elapsed time: 8.213 seconds]

modified  20111227 16:48:46 
created  20081118 07:22:18 
id  101024 

field  value 
prime_id  85776 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  Command: /home/ditto/client/pfgw tc q"2072644824759*2^33333+5" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2072644824759*2^33333+5 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(4096,21) to FFT(4096,20) Reduced from FFT(4096,20) to FFT(4096,19) Reduced from FFT(4096,19) to FFT(4096,18) Reduced from FFT(4096,18) to FFT(4096,17) 66756 bit request FFT size=(4096,17) Running N+1 test using discriminant 5, base 4+sqrt(5) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(4096,21) to FFT(4096,20) Reduced from FFT(4096,20) to FFT(4096,19) Reduced from FFT(4096,19) to FFT(4096,18) Reduced from FFT(4096,18) to FFT(4096,17) 66764 bit request FFT size=(4096,17) Running N+1 test using discriminant 5, base 5+sqrt(5) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(4096,21) to FFT(4096,20) Reduced from FFT(4096,20) to FFT(4096,19) Reduced from FFT(4096,19) to FFT(4096,18) Reduced from FFT(4096,18) to FFT(4096,17) 66764 bit request FFT size=(4096,17) Calling N+1 BLS with factored part 0.10% and helper 0.06% (0.38% proof) 2072644824759*2^33333+5 is Fermat and Lucas PRP! (66.5500s+0.0000s) [Elapsed time: 67.00 seconds]

modified  20090205 12:51:36 
created  20081118 07:08:15 
id  101021 

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
