7985 · 21250517 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:7985 · 21250517 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1492 : Eiterig, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:376448   (log10 is 376447.02936266)
Rank (*):12201 (digit rank is 1)
Entrance Rank (*):3111
Currently on list? (*):no
Submitted:4/12/2014 07:11:55 CDT
Last modified:4/12/2014 12:22:13 CDT
Removed (*):4/13/2015 14:06:09 CDT
Database id:117606
Status Flags:TrialDiv
Score (*):43.633 (normalized score 0.5385)

User comments about this prime (disclaimer):

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Olaf Eiterig writes (11 Sep 2014):  (report abuse)
Divides xGF(1250515,11,5)!!!!

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.
fieldvalue
prime_id117606
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"7985*2^1250517+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 7985*2^1250517+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 7985*2^1250517+1 is prime! (5281.1779s+0.0014s) [Elapsed time: 88.02 minutes]
modified2020-07-07 17:30:17
created2014-04-12 10:49:54
id163144

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