21111932 + 2 · V(1, 2, 1111930) + 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:21111932 + 2 · V(1, 2, 1111930) + 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:334725   (log10 is 334724.88513864)
Rank (*):16959 (digit rank is 2)
Entrance Rank (*):1241
Currently on list? (*):no
Submitted:5/7/2012 08:17:00 CDT
Last modified:5/7/2012 13:20:26 CDT
Removed (*):3/4/2014 00:36:10 CDT
Database id:106847
Status Flags:Verify
Score (*):43.272 (normalized score 0.2598)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

David Broadhurst writes (11 Sep 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.
fieldvalue
prime_id106847
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/pfgw -o -f -q"2^1111932+2*lucasV(1,2,1111930)+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 2^1111932+2*lucasV(1,2,1111930)+1 1/1 mro=0 trial factoring to 123505119 2^1111932+2*lucasV(1,2,1111930)+1 has no small factor. [Elapsed time: 3242.763 seconds]
modified2020-07-07 17:30:26
created2012-05-07 08:18:22
id143280

fieldvalue
prime_id106847
person_id9
machineRedHat Virtual STEM Server
whatprp
notesCommand: /home/caldwell/client/pfgw -t -q"2^1111932+2*lucasV(1,2,1111930)+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 2^1111932+2*lucasV(1,2,1111930)+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% 2^1111932+2*lucasV(1,2,1111930)+1 is PRP! (16347.8731s+0.0639s) [Elapsed time: 4.54 hours]
modified2020-07-07 17:30:26
created2012-05-07 08:20:53
id143281

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