11754128376394782080351\
49360635999371658705159870633484377238553812244526\
118442328862282459012925328173493478126787291226668192 + 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: | 11754128376394782080351\ 49360635999371658705159870633484377238553812244526\ 118442328862282459012925328173493478126787291226668192 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Generalized Fermat |
| Unofficial Comments: | This prime has 2 user comments below. |
| Proof-code(s): (*): | p417 : Tennant, LLR2, PrivGfnServer, OpenPFGW |
| Decimal Digits: | 1000000 (log10 is 999999) |
| Rank (*): | 2892 (digit rank is 16) |
| Entrance Rank (*): | 1005 |
| Currently on list? (*): | yes |
| Submitted: | 5/2/2021 09:01:32 UTC |
| Last modified: | 5/20/2023 20:59:19 UTC |
| Database id: | 132271 |
| Status Flags: | none |
| Score (*): | 46.633 (normalized score 4.5047) |
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 Fermat (archivable *)
- Prime on list: no, rank 1178
Subcategory: "Generalized Fermat"
(archival tag id 226102, tag last modified 2024-11-22 05:37:10)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 132271 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 1175412837...8729122666^8192+1 [N-1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper_file_id_132271 Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 89.10% 1175412837...8729122666^8192+1 is prime! (24527.0779s+0.0118s) [Elapsed time: 6.81 hours] Helper File: 2 7523 1352449169 57762824434344582535778429685105848...(109 digits)...63544378365496224267118391042849559 modified 2021-05-03 18:39:09 created 2021-05-02 20:04:04 id 177987
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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