
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:  4 · 5^{70130} + 1 
Verification status (*):  Proven 
Official Comment:  Generalized Fermat 
Proofcode(s): (*):  p67 : Benson, NewPGen, OpenPFGW 
Decimal Digits:  49020 (log_{10} is 49019.3684640763) 
Rank (*):  54466 (digit rank is 1) 
Entrance Rank (*):  4774 
Currently on list? (*):  no 
Submitted:  5/10/2004 02:50:41 CDT 
Last modified:  5/10/2004 02:50:41 CDT 
Removed (*):  5/31/2004 13:27:58 CDT 
Database id:  70229 
Status Flags:  none 
Score (*):  37.3559 (normalized score 0.0012) 

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 2579
Subcategory: "Generalized Fermat"
(archival tag id 206168, tag last modified 20191118 16:50:10)
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  70229 
person_id  9 
machine  Linux P4 2.8GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw f t q"4*5^70130+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 4*5^70130+1 [N1, BrillhartLehmerSelfridge] trial factoring to 15897066 Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(20480,20) to FFT(20480,19) Reduced from FFT(20480,19) to FFT(20480,18) Reduced from FFT(20480,18) to FFT(20480,17) Reduced from FFT(20480,17) to FFT(20480,16) 325686 bit request FFT size=(20480,16) Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(20480,20) to FFT(20480,19) Reduced from FFT(20480,19) to FFT(20480,18) Reduced from FFT(20480,18) to FFT(20480,17) Reduced from FFT(20480,17) to FFT(20480,16) 325686 bit request FFT size=(20480,16) Calling BrillhartLehmerSelfridge with factored part 100.00% 4*5^70130+1 is prime! (1286.8354s+0.0065s)

modified  20040805 12:46:56 
created  20040510 02:53:00 
id  75186 

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