10 667 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13545398497957644396288986880387034653822727	44	143.3	2010-03-17 02:36:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2426 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	5B7B	0
Verified (Factored)		George Woltman	AD23A344EA29DB7B	0
Verified (Factored)		Brian J. Beesley	AD23A344EA29DB7B	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	1E06C275B3877F1A	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	1E06C275B3877F1A	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	1E06C275B3877F1A	1	7310	1	3
Verified	2020-04-17	Oliver Kruse	E25B9CBE93F123B1	1	4495	5	3
Verified	2024-07-01	kkmrkkblmbrbk	E25B9CBE93F123B1	1	8362	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : E25B9CBE93F123B1 PRP: Verified PRP without proof (small exponent)
2022-11-09	-Anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2020-04-17	Oliver Kruse	C-PRP	M10667/13545398497957644396288986880387034653822727 : E25B9CBE93F123B1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : 1E06C275B3877F1A PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : 1E06C275B3877F1A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10667/known_factors : 1E06C275B3877F1A PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=10000000000, B2=500000000000, E=12
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-03-17	-Anonymous-	F-ECM	Factor: 13545398497957644396288986880387034653822727