10 193 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
69720121	8	26.1	old
22574555456930466105049	23	74.3	2008-08-29 02:24:25
11587506538526259746313039647	29	93.2	2010-01-30 09:39:42

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	B9848ABD1AFE70FD	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B9848ABD1AFE70FD	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B9848ABD1AFE70FD	3	7984	1	3
Verified	2020-04-17	Oliver Kruse	64B6CD7009B30E0C	3	6954	5	3
Verified	2024-07-01	kkmrkkblmbrbk	64B6CD7009B30E0C	3	7932	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-02	22574555456930466105049	100000000000	123820964288791776

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10193/11587506538526259746313039647/22574555456930466105049/69720121 : 64B6CD7009B30E0C PRP: Verified PRP without proof (small exponent)
2022-04-02	-Anonymous-	F-PM1	Factor: 22574555456930466105049 / (P-1, B1=100000000000, B2=123820964288791770)
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10193/69720121/22574555456930466105049/11587506538526259746313039647 : 64B6CD7009B30E0C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10193/69720121/22574555456930466105049/11587506538526259746313039647 : B9848ABD1AFE70FD PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10193/69720121/22574555456930466105049/11587506538526259746313039647 : B9848ABD1AFE70FD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10193/known_factors : B9848ABD1AFE70FD PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-01-30	Matthias Wurtinger	F-ECM	Factor: 11587506538526259746313039647
2008-08-29	-Anonymous-	F-ECM	Factor: 22574555456930466105049