(V(3476, 1, 3771) - 1)/(V(3476, 1, 9) - 1)
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This prime's information:
| Description: | (V(3476, 1, 3771) - 1)/(V(3476, 1, 9) - 1) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Lehmer primitive part |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | x25 : Broadhurst, Water, OpenPFGW, Primo |
| Decimal Digits: | 13322 (log10 is 13321.541951155) |
| Rank (*): | 79117 (digit rank is 2) |
| Entrance Rank (*): | 49682 |
| Currently on list? (*): | no |
| Submitted: | 5/21/2011 21:47:38 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 100162 |
| Status Flags: | Verify |
| Score (*): | 33.3286 (normalized score 0) |
Archival tags:
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
- Lehmer primitive part (archivable *)
- Prime on list: no, rank 31
Subcategory: "Lehmer primitive part"
(archival tag id 213244, tag last modified 2023-03-11 15:53:59)
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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 100162 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"(lucasV(3476,1,3771)-1)/(lucasV(3476,1,9)-1)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] (lucasV(3476,1,3....asV(3476,1,9)-1) 1/1 mro=0 trial factoring to 3916630 (lucasV(3476,1,3771)-1)/(lucasV(3476,1,9)-1) has no small factor. [Elapsed time: 4.627 seconds] modified 2020-07-07 22:30:31 created 2011-05-21 21:48:02 id 129894
field value prime_id 100162 person_id 9 machine RedHat P4 P4 what prp notes Command: /home/caldwell/client/pfgw -tc -q"(lucasV(3476,1,3771)-1)/(lucasV(3476,1,9)-1)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing (lucasV(3476,1,3771)-1)/(lucasV(3476,1,9)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 23 Running N-1 test using base 31 Running N-1 test using base 53 Running N+1 test using discriminant 89, base 6+sqrt(89) Calling N-1 BLS with factored part 2.21% and helper 0.03% (6.65% proof) (lucasV(3476,1,3771)-1)/(lucasV(3476,1,9)-1) is Fermat and Lucas PRP! (123.5017s+0.0022s) [Elapsed time: 2.07 minutes] modified 2020-07-07 22:30:31 created 2011-05-21 21:53:01 id 129895
Query times: 0.0005 seconds to select prime, 0.0004 seconds to seek comments.
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