295550410 · 2347# + 1

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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:	295550410 · 2347# + 1
Verification status (*):	Proven
Official Comment (*):	Cunningham chain 2nd kind (2p-1)
Proof-code(s): (*):	p35 : Augustin, NewPGen, OpenPFGW
Decimal Digits:	1002 (log₁₀ is 1001.1022704944)
Rank (*):	132708 (digit rank is 45)
Entrance Rank (*):	46841
Currently on list? (*):	no
Submitted:	5/22/2000 21:46:46 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	58806
Status Flags:	none
Score (*):	25.2754 (normalized score 0)

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.

Cunningham Chains (2nd kind) (archivable class *)
Prime on list: no, rank 217, weight 24.997568955392
Subcategory: "Cunningham chain 2nd kind (2p-1)"
(archival tag id 212976, tag last modified 2023-11-26 09:37:13)

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 58806

person_id 9

machine Linux PII 200

what prime

notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing 295550410*2347#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 295550410*2347#+1 is prime! (8.330000 seconds)

modified 2003-03-25 17:24:23

created 2002-12-24 14:17:31

id 48191

field	value
prime_id	58806
person_id	9
machine	Linux PII 200
what	prime
notes	PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing 2955504102347#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 2955504102347#+1 is prime! (8.330000 seconds)
modified	2003-03-25 17:24:23
created	2002-12-24 14:17:31
id	48191

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.