870 047 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
423062685589476116927251684471	30	98.4	2014-12-18 00:08:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3EE8	0
Verified (Factored)		James Reimer	0213372E95893EE8	0
Verified (Factored)	2002-01-28	Marc Getty / Phil Fizur	0213372E95893EE8	565509

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	89034804AE653C78	1	0	1	3
Verified	2017-10-14	Oliver Kruse	89034804AE653C78	1	415313	1	3
Verified	2017-12-19	ATH	89034804AE653C78	1	696765	1	3
Unverified (Reliable)	2020-04-22	Oliver Kruse	3A8DA2A28E009C__	1	672604	5	3

P-1 factors

Date	Factor	B1	B2
2014-12-18	423062685589476116927251684471	12358775	568503660

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^58 to 2^59
2020-04-22	Oliver Kruse	C-PRP	M870047/423062685589476116927251684471 : 3A8DA2A28E009C__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-19	ATH	C-PRP	M870047/423062685589476116927251684471 : 89034804AE653C78 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M870047/423062685589476116927251684471 : 89034804AE653C78 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M870047/423062685589476116927251684471 : 89034804AE653C78 PRP: Unverified (Reliable) PRP without proof (not generated)
2014-12-18	mikr	F-PM1	Factor: 423062685589476116927251684471
2012-09-21	Joss	NF-PM1	B1=1740094
2012-03-29	Joss	NF-PM1	B1=1193823
2012-01-22	Joss	NF-PM1	B1=795882
2011-08-31	Joss	NF-PM1	B1=397941
2011-07-12	Joss	NF-PM1	B1=238764
2011-02-21	Joss	NF-PM1	B1=200000
2010-06-03	Architects Cubed	NF	no factor from 2^60 to 2^61