2 · 1259411259 + 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:2 · 1259411259 + 1
Verification status (*):Proven
Official Comment (*):Divides Phi(1259^411259,2)
Proof-code(s): (*):L4879 : Propper, Batalov, Srsieve, LLR
Decimal Digits:1274914   (log10 is 1274913.7827684)
Rank (*):672 (digit rank is 1)
Entrance Rank (*):217
Currently on list? (*):short
Submitted:5/4/2020 20:38:36 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:130877
Status Flags:none
Score (*):47.3781 (normalized score 10.7117)

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.
Divides Phi (archivable *)
Prime on list: yes, rank 5
Subcategory: "Divides Phi"
(archival tag id 223997, tag last modified 2023-03-11 15:53:59)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/4/pfgw64 -t -q"2*1259^411259+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 2*1259^411259+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*1259^411259+1 is prime! (9970.4344s+0.0485s) [Elapsed time: 2.77 hours]
modified2020-07-07 22:30:10
created2020-05-04 20:41:02

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.