10 709 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
11204758588936097446906927	26	83.2	old
3882090837390344575702346887574261471	37	121.5	2010-06-21 17:59:16

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	3292 / 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	59C8199239A1ACDC	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	59C8199239A1ACDC	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	59C8199239A1ACDC	2	9941	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	87F970D8F1942EF4	2	3470	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	87F970D8F1942EF4	2	7218	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=81/17, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 87F970D8F1942EF4
2022-12-17	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2020-04-17	Oliver Kruse	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 87F970D8F1942EF4
2017-10-12	kkmrkkblmbrbk	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 59C8199239A1ACDC
2017-10-02	kkmrkkblmbrbk	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 59C8199239A1ACDC
2017-09-21	Oliver Kruse	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 59C8199239A1ACDC
2017-09-21	Oliver Kruse	C-PRP	M10709/11204758588936097446906927/3882090837390344575702346887574261471 : 59C8199239A1ACDC
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-06-21	James Hintz	F-ECM	Factor: 3882090837390344575702346887574261471
2001-01-08	-anonymous-	F-PM1	Factor: 11204758588936097446906927
2000-08-17	-anonymous-	NF	no factor TF: 1-56
2000-06-29	-anonymous-	NF	no factor TF: 1-55
2000-06-28	-anonymous-	NF	no factor TF: 1-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53