21111932 + 2 · V(1, 2, 1111930) + 1
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This prime's information:
Description: | 21111932 + 2 · V(1, 2, 1111930) + 1 |
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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 (*): | 20979 (digit rank is 2) |
Entrance Rank (*): | 1241 |
Currently on list? (*): | no |
Submitted: | 5/7/2012 13:17:00 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Removed (*): | 3/4/2014 06:36:10 UTC |
Database id: | 106847 |
Status Flags: | Verify |
Score (*): | 43.272 (normalized score 0.167) |
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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 106847 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /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] modified 2020-07-07 22:30:26 created 2012-05-07 13:18:22 id 143280
field value prime_id 106847 person_id 9 machine RedHat Virtual STEM Server what prp notes Command: /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] modified 2020-07-07 22:30:26 created 2012-05-07 13:20:53 id 143281
Query times: 0.0083 seconds to select prime, 0.0133 seconds to seek comments.
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