10104281 - 1052140 - 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: | 10104281 - 1052140 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Near-repdigit, palindrome |
| Proof-code(s): (*): | p16 : Heuer, OpenPFGW |
| Decimal Digits: | 104281 (log10 is 104281) |
| Rank (*): | 48146 (digit rank is 1) |
| Entrance Rank (*): | 167 |
| Currently on list? (*): | no |
| Submitted: | 1/27/2003 16:12:21 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 63590 |
| Status Flags: | none |
| Score (*): | 39.6834 (normalized score 0.0043) |
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.
- Palindrome (archivable *)
- Prime on list: no, rank 80
Subcategory: "Palindrome"
(archival tag id 187793, tag last modified 2024-09-30 12:37:11)- Near-repdigit (archivable *)
- Prime on list: no, rank 112
Subcategory: "Near-repdigit"
(archival tag id 211061, tag last modified 2024-02-07 04:37:20)
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 63590 person_id 9 machine Athlon 1.3GHz what prime notes Primality testing 10^104281-10^52140-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7) N+1: 10^104281-1Calling Brillhart-Lehmer-Selfridge with factored part 34.95% 10^104281-10^52140-1 is prime! (26992.393000 seconds) 0^52140-1 modified 2003-03-25 17:21:43 created 2003-02-02 09:15:17 id 68087
Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.