2494779036241 · 249800 + 13

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:2494779036241 · 249800 + 13
Verification status (*):PRP
Official Comment (*):Consecutive primes arithmetic progression (3,d=6)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c93 : Batalov, PolySieve, Primo
Decimal Digits:15004   (log10 is 15003.690816152)
Rank (*):73807 (digit rank is 6)
Entrance Rank (*):73577
Currently on list? (*):short
Submitted:4/16/2022 01:00:18 CDT
Last modified:4/16/2022 01:37:18 CDT
Database id:133846
Status Flags:Verify, TrialDiv
Score (*):33.6968 (normalized score 0)

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.
Consecutive Primes in Arithmetic Progression (archivable class *)
Prime on list: yes, rank 1
Subcategory: "Consecutive primes in arithmetic progression (3,d=*)"
(archival tag id 226999, tag last modified 2022-04-16 01:37:19)
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 120, weight 39.476112574511
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 227000, tag last modified 2022-04-28 15:37:20)

User comments about this prime (disclaimer):

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Serge Batalov writes (16 Apr 2022):  (report abuse)
Certificate is at FactorDB

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_id133846
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"2494779036241*2^49800+13" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 2494779036241*2^49800+13 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)


2494779036241*2^49800+13 is Fermat and Lucas PRP! (2.6335s+0.0001s)
[Elapsed time: 3.00 seconds]
modified2022-04-16 01:01:07
created2022-04-16 01:01:04
id179568

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.