37510 · 3337592 + 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: | 37510 · 3337592 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Generalized Cullen |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p126 : Minovic, MultiSieve, OpenPFGW |
| Decimal Digits: | 161077 (log10 is 161076.89277038) |
| Rank (*): | 39521 (digit rank is 1) |
| Entrance Rank (*): | 521 |
| Currently on list? (*): | no |
| Submitted: | 6/2/2006 05:50:47 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 77889 |
| Status Flags: | none |
| Score (*): | 41.0223 (normalized score 0.019) |
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.
- Generalized Cullen (archivable *)
- Prime on list: no, rank 67
Subcategory: "Generalized Cullen"
(archival tag id 187386, tag last modified 2023-12-29 19:37:13)
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 77889 person_id 9 machine WinXP P4 2.2GHz By K what prime notes Command: pfgw.exe -n -f -t -q"37510*3^337592+1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 37510*3^337592+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 56693683 Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 37510*3^337592+1 is prime! (7944.3901s+0.0991s) [Elapsed time: 7965 seconds] modified 2020-07-07 22:30:42 created 2006-06-02 13:52:18 id 84434
field value prime_id 77889 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 37510 3 337592 1 2>&1 [Elapsed time: 9.239 seconds] modified 2020-07-07 22:30:42 created 2006-07-07 09:05:43 id 84683
Query times: 0.0002 seconds to select prime, 0.0007 seconds to seek comments.
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