21392250 - 4 · V(1, 4, 696123) + 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.

This prime's information:

Description:21392250 - 4 · V(1, 4, 696123) + 1
Verification status (*):PRP
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x41 : Abatzoglou, Wong3, Silverberg, Sutherland
Decimal Digits:419110   (log10 is 419109.01146318)
Rank (*):12787 (digit rank is 2)
Entrance Rank (*):1427
Currently on list? (*):no
Submitted:4/2/2014 15:07:22 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):2/23/2019 05:07:13 UTC
Database id:117544
Status Flags:Verify
Score (*):43.9629 (normalized score 0.3757)

User comments about this prime (disclaimer):

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David Broadhurst writes (31 Oct 2014):  (report abuse)
Pomerance proof

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"2^1392250-4*lucasV(1,4,696123)+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 2^1392250-4*lucasV(1,4,696123)+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 0.00% 2^1392250-4*lucasV(1,4,696123)+1 is PRP! (85368.4588s+1.0120s) [Elapsed time: 23.71 hours]
modified2020-07-07 22:30:17
created2014-04-03 00:38:02

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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