"11111111111111111111...(99960 other digits)...47819896814516096539"

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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:	"11111111111111111111...(99960 other digits)...47819896814516096539"
Verification status (*):	PRP
Official Comment (*):	[none]
Proof-code(s): (*):	x15 : Earls, PrimeForm_egroup, OpenPFGW, Primo, Unknown
Decimal Digits:	100000 (log₁₀ is 99999.0457575)
Rank (*):	51753 (digit rank is 5)
Entrance Rank (*):	1282
Currently on list? (*):	no
Submitted:	7/28/2005 17:10:24 UTC
Last modified:	3/11/2023 15:54:10 UTC
Removed (*):	6/29/2007 19:47:30 UTC
Database id:	75203
Blob database id:	176
Status Flags:	Verify
Score (*):	39.5542 (normalized score 0.0043)

Description: (from blob table id=176)

Picture Prime with text pictured in the first 70000 decimal digits written 50 digits per line.

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 75203

person_id 9

machine WinXP Pentium M 1.7GHz

what prp

notes Command: pfgw.exe -n -f -tc p_75203.txt 2>&1 Primality testing 1111111111...4656760741PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 34087784 Running N-1 test using base 2 9179557772...4516096539 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 23, base 2+sqrt(23) N+1: 1Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof) 1111111111...4516096539 is Fermat and Lucas PRP! (20102.8216s+0.2602s) 1111111111...1111111111.........9357147819896814[Elapsed time: 20104 seconds]

modified 2020-07-07 22:30:43

created 2005-07-29 16:19:51

id 80370

field	value
prime_id	75203
person_id	9
machine	WinXP Pentium M 1.7GHz
what	prp
notes	Command: pfgw.exe -n -f -tc p_75203.txt 2>&1 Primality testing 1111111111...4656760741PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 34087784 Running N-1 test using base 2 9179557772...4516096539 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 23, base 2+sqrt(23) N+1: 1Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof) 1111111111...4516096539 is Fermat and Lucas PRP! (20102.8216s+0.2602s) 1111111111...1111111111.........9357147819896814[Elapsed time: 20104 seconds]
modified	2020-07-07 22:30:43
created	2005-07-29 16:19:51
id	80370

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