19891919890 · R(15600)/R(10) + 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:	19891919890 · R(15600)/R(10) + 1
Verification status (*):	PRP
Official Comment (*):	Palindrome
Unofficial Comments:	This prime has 1 user comment below.
Proof-code(s): (*):	x30 : Broadhurst, Dubner
Decimal Digits:	15601 (log₁₀ is 15600.298676702)
Rank (*):	76516 (digit rank is 1)
Entrance Rank (*):	9223
Currently on list? (*):	no
Submitted:	10/5/2001 07:22:50 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	11776
Status Flags:	Verify
Score (*):	33.8175 (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.

Palindrome (archivable *)
Prime on list: no, rank 209
Subcategory: "Palindrome"
(archival tag id 192484, tag last modified 2024-01-17 08:37:12)

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.

David Broadhurst writes (11 Sep 2014): (report abuse)

notes

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 11776

person_id 9

machine WinXP Athlon 1.3GHz

what prp

notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 2 Primality testing 19891919890*R(15600)/R(10)+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 1.57% 19891919890*R(15600)/R(10)+1 is PRP! (144.838000 seconds)

modified 2003-03-25 17:23:32

created 2002-12-29 00:18:29

id 56280

field	value
prime_id	11776
person_id	9
machine	WinXP Athlon 1.3GHz
what	prp
notes	PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 2 Primality testing 19891919890R(15600)/R(10)+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 1.57% 19891919890R(15600)/R(10)+1 is PRP! (144.838000 seconds)
modified	2003-03-25 17:23:32
created	2002-12-29 00:18:29
id	56280

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.