11 953 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
26739410839	11	34.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1808 / 9201

Estimated T-Level: 41.0 ⓘ

TF below 2^131 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	0343194F96EA143C	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	0343194F96EA143C	1	11882	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A9D476884C34999D	1	7835	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A9D476884C34999D	1	2906	5	3

History

Date	User	Type	Result
2025-03-10	masser	NF-PP1	Start=76/53, B1=430000000, B2=429570000000
2025-02-24	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11953/26739410839 : A9D476884C34999D
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11953/26739410839 : A9D476884C34999D
2017-10-12	kkmrkkblmbrbk	C-PRP	M11953/26739410839 : 0343194F96EA143C
2017-09-21	Oliver Kruse	C-PRP	M11953/26739410839 : 0343194F96EA143C
2017-09-21	Oliver Kruse	C-PRP	M11953/26739410839 : 0343194F96EA143C
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12