
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:  E(1468)/(95 · 217158949445380764696306893 · 597712879321361736404369071) 
Verification status (*):  PRP 
Official Comment:  Euler irregular, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c4 : Broadhurst, Primo 
Decimal Digits:  3671 (log_{10} is 3670.30196446) 
Rank (*):  86120 (digit rank is 2) 
Entrance Rank (*):  32760 
Currently on list? (*):  short 
Submitted:  12/21/2003 12:31:51 CDT 
Last modified:  12/21/2003 12:31:51 CDT 
Database id:  67770 
Blob database id:  107 
Status Flags:  Verify 
Score (*):  29.328 (normalized score 0) 

Description:
(from blob table id=107)
[This prime has a precalculated decimal expansion (linked blob)]
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.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 531
Subcategory: "ECPP"
(archival tag id 179005, tag last modified 20190602 14:20:07)  Euler Irregular primes (archivable *)
 Prime on list: yes, rank 11
Subcategory: "Euler Irregular primes"
(archival tag id 179004, tag last modified 20180314 05:50:22)
User comments about this prime (disclaimer):
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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  67770 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2004308000...5156200481 [N1/N+1, BrillhartLehmerSelfridge] trial factoring to 969046 Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24394 bit request FFT size=(1536,16) Running N+1 test using discriminant 7, base 1+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24402 bit request FFT size=(1536,16) Running N+1 test using discriminant 7, base 2+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24402 bit request FFT size=(1536,16) Calling N1 BLS with factored part 0.25% and helper 0.03% (0.79% proof) 2004308000...5156200481 is Fermat and Lucas PRP! (13.1723s+0.0017s)

modified  20040821 09:24:31 
created  20040821 09:24:17 
id  76340 

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
