(2137 + 4274)!(2127 - 1) - 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: | (2137 + 4274)!(2127 - 1) - 1 |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Multifactorial |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p44 : Broadhurst, OpenPFGW |
| Decimal Digits: | 41792 (log10 is 41791.806869449) |
| Rank (*): | 63550 (digit rank is 1) |
| Entrance Rank (*): | 3889 |
| Currently on list? (*): | no |
| Submitted: | 11/11/2003 23:42:49 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 67139 |
| Status Flags: | Verify |
| Score (*): | 36.8635 (normalized score 0.0002) |
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.
- Multifactorial (tolerated *)
- Prime on list: no, rank 118
Subcategory: "Multifactorial"
(archival tag id 190619, tag last modified 2023-05-01 02:37:23)
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 67139 person_id 9 machine Linux P4 2.8GHz what prp notes PFGW Version 20030811.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 6410168550...6643744934trial factoring to 13398173 Running N-1 test using base 1087 6836841759...9999999999 [N-1/N+1, Brillhart-Lehmer-Selfridge] Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(16384,20) to FFT(16384,19) Reduced from FFT(16384,19) to FFT(16384,18) Reduced from FFT(16384,18) to FFT(16384,17) 277668 bit request FFT size=(16384,17) Running N+1 test using discriminant 1097, base 1+sqrt(1097) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(16384,20) to FFT(16384,19) Reduced from FFT(16384,19) to FFT(16384,18) Reduced from FFT(16384,18) to FFT(16384,17) 277676 bit request FFT size=(16384,17) Calling N+1 BLS with factored part 16.62% and helper 0.00% (49.85% proof) 6410168550...9999999999 is Fermat and Lucas PRP! (-619.6273s+0.0600s) modified 2020-07-07 22:30:47 created 2003-11-11 23:53:02 id 72064
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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