753 · 23488818 + 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.

Description:753 · 23488818 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1823 : Larsson, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1050242   (log10 is 1050241.7442074)
Rank (*):405 (digit rank is 1)
Entrance Rank (*):206
Currently on list? (*):short
Submitted:2/27/2018 03:29:38 CDT
Last modified:2/27/2018 05:20:20 CDT
Database id:124472
Status Flags:TrialDiv
Score (*):46.7834 (normalized score 12.7029)

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/1/pfgw64 -t -q"753*2^3488818+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 753*2^3488818+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 753*2^3488818+1 is prime! (5322.4501s+0.0006s) [Elapsed time: 88.70 minutes]
modified2020-07-07 17:30:15
created2018-02-27 03:50:26

Query times: 0.0016 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.