15 · 261758 + 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: | 15 · 261758 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | Y : Young |
| Decimal Digits: | 18593 (log10 is 18592.186563475) |
| Rank (*): | 76881 (digit rank is 1) |
| Entrance Rank (*): | 12 |
| Currently on list? (*): | no |
| Submitted: | 8/1995 |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 4/11/2001 03:20:08 UTC |
| Database id: | 10009 |
| Status Flags: | none |
| Score (*): | 34.3605 (normalized score 0) |
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 10009 person_id 9 machine WinXP Athlon 1.3GHz what prime notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 11 Primality testing 15*2^61758+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 15*2^61758+1 is prime! (45.595000 seconds) modified 2003-03-25 17:23:25 created 2002-12-29 19:10:42 id 57212
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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