471 · 21755262 - 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:471 · 21755262 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2519 : Schmidt2, PSieve, Srsieve, NPLB, LLR
Decimal Digits:528390   (log10 is 528389.18527006)
Rank (*):4809 (digit rank is 1)
Entrance Rank (*):4181
Currently on list? (*):yes
Submitted:4/11/2022 03:19:14 CDT
Last modified:4/11/2022 03:50:09 CDT
Database id:133832
Status Flags:TrialDiv
Score (*):44.6747 (normalized score 1.0217)

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.
fieldvalue
prime_id133832
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"471*2^1755262-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 471*2^1755262-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 471*2^1755262-1 is prime! (1575.5079s+0.0004s) [Elapsed time: 26.27 minutes]
modified2022-07-11 13:21:44
created2022-04-11 03:21:01
id179554

Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.