2810655 + 2 · V(1, 2, 810653) + 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: | 2810655 + 2 · V(1, 2, 810653) + 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: | 244032 (log10 is 244031.47113498) |
| Rank (*): | 26918 (digit rank is 1) |
| Entrance Rank (*): | 2878 |
| Currently on list? (*): | no |
| Submitted: | 3/16/2012 18:11:50 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 7/5/2012 11:53:42 UTC |
| Database id: | 105640 |
| Status Flags: | Verify |
| Score (*): | 42.3004 (normalized score 0.0681) |
User comments about this prime (disclaimer):
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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.
field value prime_id 105640 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -t -q"2^810655+2*lucasV(1,2,810653)+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2^810655+2*lucasV(1,2,810653)+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 0.01% 2^810655+2*lucasV(1,2,810653)+1 is PRP! (9172.7451s+0.1037s) [Elapsed time: 2.55 hours] modified 2020-07-07 22:30:27 created 2012-03-16 18:26:05 id 140870
field value prime_id 105640 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"2^810655+2*lucasV(1,2,810653)+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 2^810655+2*lucasV(1,2,810653)+1 1/1 mro=0 trial factoring to 88248370 2^810655+2*lucasV(1,2,810653)+1 has no small factor. [Elapsed time: 1801.199 seconds] modified 2020-07-07 22:30:27 created 2012-03-16 18:53:00 id 140872
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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