10 151 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
1948993	7	20.9	old
62820641017	11	35.9	2008-08-26 19:58:30
7864744681877449	16	52.8	2008-08-29 02:24:24
603848400575989311299839	24	79.0	2008-08-29 02:24:25

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	2017-09-21	Oliver Kruse	641A0FD5616F3787	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	641A0FD5616F3787	4	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	641A0FD5616F3787	4	5209	1	3
Verified	2020-04-17	Oliver Kruse	B26E7FD3747838FF	4	2584	5	3
Verified	2024-07-01	kkmrkkblmbrbk	B26E7FD3747838FF	4	10142	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-07	122436989597645881	1000000	1000000
2021-08-07	122436989597645881	30	30
2021-08-07	122436989597645881	100000000	100000000

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10151/1948993/603848400575989311299839/62820641017/7864744681877449 : B26E7FD3747838FF PRP: Verified PRP without proof (small exponent)
2022-02-17	-Anonymous-	NF-PM1	B1=100000000000, B2=121010481487715820
2021-08-07	H Michaelson	F-PM1	Factor: 122436989597645881 / (P-1, B1=100000000)
2021-08-07	H Michaelson	F-PM1	Factor: 122436989597645881 / (P-1, B1=30)
2021-08-07	H Michaelson	F-PM1	Factor: 122436989597645881 / (P-1, B1=1000000)
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10151/1948993/62820641017/7864744681877449/603848400575989311299839 : B26E7FD3747838FF PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10151/1948993/62820641017/7864744681877449/603848400575989311299839 : 641A0FD5616F3787 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10151/1948993/62820641017/7864744681877449/603848400575989311299839 : 641A0FD5616F3787 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10151/known_factors : 641A0FD5616F3787 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 603848400575989311299839
2008-08-29	-Anonymous-	F	Factor: 7864744681877449
2008-08-26	-Anonymous-	F	Factor: 62820641017