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7863 · 21142808 + 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:7863 · 21142808 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3548 : Ready, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:344024   (log10 is 344023.38287304)
Rank (*):13457 (digit rank is 1)
Entrance Rank (*):2730
Currently on list? (*):no
Submitted:9/1/2013 10:57:27 CDT
Last modified:9/1/2013 14:20:28 CDT
Removed (*):5/24/2014 18:28:17 CDT
Database id:115338
Status Flags:TrialDiv
Score (*):43.3562 (normalized score 0.4327)

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_id115338
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"7863*2^1142808+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 7863*2^1142808+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 7863*2^1142808+1 is prime! (3692.1186s+0.0012s) [Elapsed time: 61.53 minutes]
modified2020-07-07 17:30:18
created2013-09-01 13:03:01
id160821

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.