471 041 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
5486519665131776071	19	62.3	2007-08-17 00:13:06
2299000194069964813223	22	71.0	2014-11-27 16:13:47
424774053617539910782471	24	78.5	2018-02-02 17:06:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	164C539D5C34AFF8	2	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	164C539D5C34AFF8	2	428890	1	3
Verified (Factored)	2017-12-16	ATH	164C539D5C34AFF8	2	451226	1	3
Verified	2018-02-02	MaximeG	930A1944D96848A9	3	108155	5	3
Verified	2018-02-03	trebor	930A1944D96848A9	3	352436	5	3

P-1 factors

Date	Factor	B1	B2
2014-11-27	2299000194069964813223	3000000	100000000

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2018-02-03	trebor	C-PRP	M471041/5486519665131776071/2299000194069964813223/424774053617539910782471 : 930A1944D96848A9 PRP: Verified PRP without proof (small exponent)
2018-02-02	MaximeG	C-PRP	M471041/5486519665131776071/2299000194069964813223/424774053617539910782471 : 930A1944D96848A9 PRP: Verified PRP without proof (small exponent)
2018-02-02	TJAOI	F-ECM	Factor: 424774053617539910782471 / (ECM curve 10, B1=250000, B2=25000000)
2017-12-16	ATH	C-PRP	M471041/5486519665131776071/2299000194069964813223 : 164C539D5C34AFF8 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M471041/5486519665131776071/2299000194069964813223 : 164C539D5C34AFF8 PRP: Verified PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M471041/5486519665131776071/2299000194069964813223 : 164C539D5C34AFF8 PRP: Verified PRP without proof (not generated)
2017-09-26	Oliver Kruse	C-PRP	M471041/5486519665131776071/2299000194069964813223 : 164C539D5C34AFF8 PRP without proof (not generated)
2014-11-27	alpertron	F-PM1	Factor: 2299000194069964813223 / (P-1, B1=3000000, B2=100000000, E=12)
2007-08-17	Team_Bundu	F-ECM	Factor: 5486519665131776071