249 · 2251036 - 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: | 249 · 2251036 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | g384 : Tajima, NewPGen, NPLB, PRP, Proth.exe |
| Decimal Digits: | 75572 (log10 is 75571.76219085) |
| Rank (*): | 54226 (digit rank is 1) |
| Entrance Rank (*): | 3013 |
| Currently on list? (*): | no |
| Submitted: | 11/28/2005 17:07:03 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 11/8/2006 04:47:53 UTC |
| Database id: | 76303 |
| Status Flags: | none |
| Score (*): | 38.691 (normalized score 0.0018) |
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 76303 person_id 9 machine WinXP Pentium M 1.7GHz what prime notes Command: pfgw.exe -n -f -tp -q"249*2^251036-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 25268755 Running N+1 test using discriminant 5, base 1+sqrt(5) N+1: 249*2^2510Primality testing 249*2^251036-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 249*2^251036-1 is prime! (1987.1764s+0.0012s) 36-1[Elapsed time: 1987 seconds] modified 2020-07-07 22:30:43 created 2005-11-28 17:21:52 id 81508
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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