10 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1216681	7	20.2	old
4075879	7	22.0	2008-08-26 19:58:30

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	45C7736D2F8BF3FB	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	45C7736D2F8BF3FB	2	6774	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	98EEECEFCB8B1B75	2	148	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	98EEECEFCB8B1B75	2	7712	5	3

History

Date	User	Type	Result
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2025-01-05	masser	NF-PP1	Start=138/59, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10139/1216681/4075879 : 98EEECEFCB8B1B75
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	M10139/1216681/4075879 : 98EEECEFCB8B1B75
2017-10-12	kkmrkkblmbrbk	C-PRP	M10139/1216681/4075879 : 45C7736D2F8BF3FB
2017-09-21	Oliver Kruse	C-PRP	M10139/1216681/4075879 : 45C7736D2F8BF3FB
2017-09-21	Oliver Kruse	C-PRP	M10139/1216681/4075879 : 45C7736D2F8BF3FB
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 4075879