10 391 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
19389607	8	24.2	old
8349379749031	13	42.9	2008-08-26 19:58:31
5729890806135177734068960406080329017	37	122.1	2016-10-31 07:07:56
64607732251421472118625686113919931857199	41	135.6	2019-05-08 05:15:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	09354203DC94F80C	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	09354203DC94F80C	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	09354203DC94F80C	3	742	1	3
Verified	2019-05-08	ATH	287073FA4872C36C	4	1827	5	3
Verified	2019-05-08	ANONYMOUS	287073FA4872C36C	4	5487	5	3
Verified	2019-05-09	kkmrkkblmbrbk	287073FA4872C36C	4	7912	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-31	5729890806135177734068960406080329017	10000000000	505851529607770

History

Date	User	Type	Result
2022-04-02	-Anonymous-	NF-PM1	B1=100000000000, B2=121968084023145360
2019-05-09	kkmrkkblmbrbk	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017/64607732251421472118625686113919931857199 : 287073FA4872C36C PRP: Verified PRP without proof (small exponent)
2019-05-08	ANONYMOUS	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017/64607732251421472118625686113919931857199 : 287073FA4872C36C PRP: Verified PRP without proof (small exponent)
2019-05-08	ATH	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017/64607732251421472118625686113919931857199 : 287073FA4872C36C PRP: Verified PRP without proof (small exponent)
2019-05-08	James Hintz	F-ECM	Factor: 64607732251421472118625686113919931857199 / (ECM curve 1013, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017 : 09354203DC94F80C PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017 : 09354203DC94F80C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017 : 09354203DC94F80C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10391/19389607/8349379749031/5729890806135177734068960406080329017 : 09354203DC94F80C PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	F-PM1	Factor: 5729890806135177734068960406080329017 / (P-1, B1=10000000000, B2=505851529607770)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 8349379749031