1 709 767 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
21252139091863656593	20	64.2	2010-07-12 18:14:57
23345416044462901044363817	26	84.3	2020-03-29 08:25:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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)		Michael J. Kilfoyle	F0A2F5D8404FC537	0
Verified (Factored)	1999-03-01	Henrik Oluf Olsen	F0A2F5D8404FC537	817487

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	F5F7DAFEE579900F	1	0	1	3
Verified (Factored)	2017-10-18	Oliver Kruse	F5F7DAFEE579900F	1	1560585	1	3
Verified	2020-03-30	AbsolutXTR	38DAB6FF1D429049	2	534030	5	3
Verified	2020-04-02	oodaira	38DAB6FF1D429049	2	719525	5	3

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2022-03-08	LordJulius	NF	no factor from 2^58 to 2^60
2021-07-17	Dylan Delgado	NF-PM1	B1=3000000, B2=273000000
2020-04-02	oodaira	C-PRP	M1709767/21252139091863656593/23345416044462901044363817 : 38DAB6FF1D429049 PRP: Verified PRP without proof (not generated)
2020-03-30	AbsolutXTR	C-PRP	M1709767/21252139091863656593/23345416044462901044363817 : 38DAB6FF1D429049 PRP: Verified PRP without proof (not generated)
2020-03-29	MarkS	F-ECM	Factor: 23345416044462901044363817 / (ECM curve 1, B1=50000, B2=5000000, Sigma=4259639428268665)
2017-10-18	Oliver Kruse	C-PRP	M1709767/21252139091863656593 : F5F7DAFEE579900F PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1709767/21252139091863656593 : F5F7DAFEE579900F PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2010-07-12	Lupo	F-ECM	Factor: 21252139091863656593
2010-04-24	Architects Cubed	NF	no factor from 2^60 to 2^61