
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:  7225 · 2^{525688} + 1 
Verification status (*):  Proven 
Official Comment:  Generalized Fermat 
Proofcode(s): (*):  L1481 : Kowalik, PSieve, Srsieve, PrimeGrid, LLR 
Decimal Digits:  158252 (log_{10} is 158251.71519846) 
Rank (*):  32579 (digit rank is 1) 
Entrance Rank (*):  4748 
Currently on list? (*):  no 
Submitted:  7/20/2010 07:54:03 CDT 
Last modified:  7/20/2010 08:50:22 CDT 
Removed (*):  7/30/2010 23:47:51 CDT 
Database id:  93633 
Status Flags:  none 
Score (*):  40.9678 (normalized score 0.0448) 

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.
 Generalized Fermat (archivable *)
 Prime on list: no, rank 1222
Subcategory: "Generalized Fermat"
(archival tag id 210728, tag last modified 20191211 20:50:27)
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  93633 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/TrialDiv/TrialDiv q 7225 2 525688 1 2>&1 [Elapsed time: 9.126 seconds]

modified  20111227 16:48:39 
created  20100720 08:05:02 
id  116646 

field  value 
prime_id  93633 
person_id  9 
machine  Ditto P4 P4 
what  prime 
notes  Command: /home/ditto/client/pfgw t q"7225*2^525688+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 7225*2^525688+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(65536,20) to FFT(65536,19) Reduced from FFT(65536,19) to FFT(65536,18) Reduced from FFT(65536,18) to FFT(65536,17) 1051410 bit request FFT size=(65536,17) Calling BrillhartLehmerSelfridge with factored part 100.00% 7225*2^525688+1 is prime! (1424.5900s+0.0000s) [Elapsed time: 23.87 minutes]

modified  20101013 12:41:36 
created  20100720 08:08:01 
id  116647 

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