10 193 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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

P-1 factors

Date	Factors	B1	B2
2022-04-02	No new factors discovered	100000000000	123820964288791776

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	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	B9848ABD1AFE70FD	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B9848ABD1AFE70FD	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B9848ABD1AFE70FD	3	7984	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	64B6CD7009B30E0C	3	6954	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	64B6CD7009B30E0C	3	7932	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=185/37, B1=640000000, B2=639360000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10193/11587506538526259746313039647/22574555456930466105049/69720121 : 64B6CD7009B30E0C
2022-04-02	-anonymous-	F-PM1	Factor: 22574555456930466105049 / 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
2017-10-12	kkmrkkblmbrbk	C-PRP	M10193/69720121/22574555456930466105049/11587506538526259746313039647 : B9848ABD1AFE70FD
2017-10-02	kkmrkkblmbrbk	C-PRP	M10193/69720121/22574555456930466105049/11587506538526259746313039647 : B9848ABD1AFE70FD
2017-09-21	Oliver Kruse	C-PRP	M10193/known_factors : B9848ABD1AFE70FD
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