
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:  87419762^{65536} + 1 
Verification status (*):  Proven 
Official Comment:  Generalized Fermat 
Proofcode(s): (*):  L4530 : Reynolds1, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR 
Decimal Digits:  520462 (log_{10} is 520461.328042558) 
Rank (*):  2650 (digit rank is 1) 
Entrance Rank (*):  2569 
Currently on list? (*):  yes 
Submitted:  2/26/2020 12:33:18 CDT 
Last modified:  2/26/2020 14:20:13 CDT 
Database id:  130671 
Status Flags:  TrialDiv 
Score (*):  44.6283 (normalized score 1.5884) 

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 381
Subcategory: "Generalized Fermat"
(archival tag id 223889, tag last modified 20200326 21:50:24)
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  130671 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 t q"87419762^65536+1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 87419762^65536+1 [N1, BrillhartLehmerSelfridge] F: 87419762^65536+1 104448/5470987 (trial factor to 197379531) F: 87419762^65536+1 225280/5470987 (trial factor to 197379531) F: 87419762^65536+1 346112/5470987 (trial factor to 197379531) F: 87419762^65536+1 464896/5470987 (trial factor to 197379531) F: 87419762^65536+1 585728/5470987 (trial factor to 197379531) F: 87419762^65536+1 706560/5470987 (trial factor to 197379531) F: 87419762^65536+1 827392/5470987 (trial factor to 197379531) F: 87419762^65536+1 948224/5470987 (trial factor to 197379531) F: 87419762^65536+1 1069056/5470987 (trial factor to 197379531) F: 87419762^65536+1 1189888/5470987 (trial factor to 197379531) F: 87419762^65536+1 1308672/5470987 (trial factor to 197379531)
Running N1 test using base 3 Calling BrillhartLehmerSelfridge with factored part 96.21%
87419762^65536+1 is prime! (5767.1910s+0.0155s) [Elapsed time: 1.60 hours]

modified  20200226 14:17:09 
created  20200226 12:41:02 
id  176357 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
