138514 · 52771922 + 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:138514 · 52771922 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4937 : Ito2, Srsieve, PrimeGrid, LLR
Decimal Digits:1937496   (log10 is 1937495.4738528)
Rank (*):168 (digit rank is 1)
Entrance Rank (*):63
Currently on list? (*):short
Submitted:4/26/2019 18:36:00 CDT
Last modified:4/27/2019 03:20:19 CDT
Database id:126425
Status Flags:TrialDiv
Score (*):48.6613 (normalized score 67.7641)

User comments about this prime (disclaimer):

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PrimeGrid writes (27 Apr 2019):  (report abuse)
For more information, please see the official announcement.

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_id126425
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"138514*5^2771922+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 138514*5^2771922+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 138514*5^2771922+1 is prime! (30225.8673s+0.0991s) [Elapsed time: 8.40 hours]
modified2020-07-07 17:30:13
created2019-04-26 18:41:02
id172106

Query times: 0.0006 seconds to select prime, 0.001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.