1455 · 22683953 - 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:1455 · 22683953 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1134 : Ogawa, Srsieve, NewPGen, LLR
Decimal Digits:807954   (log10 is 807953.52281532)
Rank (*):3460 (digit rank is 2)
Entrance Rank (*):1240
Currently on list? (*):short
Submitted:12/8/2020 16:37:04 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:131456
Status Flags:none
Score (*):45.9786 (normalized score 2.7499)

User comments about this prime (disclaimer):

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Serge Batalov writes (25 Sep 2021):  (report abuse)
Arithmetic progression(2,d=1455*2^2683953-6325241166627*2^1290000) [p423]

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_id131456
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"1455*2^2683953-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 1455*2^2683953-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 18/2683965 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 11, base 1+sqrt(11) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 19/2683965 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a2 (or possibly -a0) switch) Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1455*2^2683953-1 is prime! (10636.9207s+0.0007s) [Elapsed time: 2.95 hours]
modified2021-04-20 22:39:26
created2020-12-08 16:51:02
id177149

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