10 141 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
162257	6	17.3	old
136599271	9	27.0	2008-08-26 19:58:30
30357873296384194257535960103125937978599365479	47	154.4	2025-05-16 08:42:00

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	62EE824872D94DB7	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	62EE824872D94DB7	2	6923	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	657011597A0C3701	2	1086	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	657011597A0C3701	2	3309	5	3
Verified	No proof (small exponent)	2025-05-16	nordi	657011597A0C3701	3	2993	5	3

History

Date	User	Type	Result
2025-05-16	nordi	C-PRP	M10141/162257/136599271/30357873296384194257535960103125937978599365479 : 657011597A0C3701
2025-05-16	nordi	F-ECM	Factor: 30357873296384194257535960103125937978599365479 / ECM curve 610, B1=44000000, B2=1117403522235, Edwards Sigma=452440741196656
2025-02-20	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2025-01-02	masser	NF-PP1	Start=98/37, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10141/136599271/162257 : 657011597A0C3701
2022-02-17	-anonymous-	NF-PM1	B1=100000000000, B2=121010481487715820
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10141/162257/136599271 : 657011597A0C3701
2017-10-12	kkmrkkblmbrbk	C-PRP	M10141/162257/136599271 : 62EE824872D94DB7
2017-09-21	Oliver Kruse	C-PRP	M10141/162257/136599271 : 62EE824872D94DB7
2017-09-21	Oliver Kruse	C-PRP	M10141/162257/136599271 : 62EE824872D94DB7
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 136599271