12 251 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
150928672264751	15	47.1	old
123652767865744057	18	56.8	2008-08-29 02:24:29

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	2517 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	EA30B3DDEC1E8128	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	EA30B3DDEC1E8128	2	3245	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	64820982A9915EE5	2	7441	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	64820982A9915EE5	2	1988	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=79/17, B1=900000000, B2=899100000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=900000000, B2=899100000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=900000000, B2=899100000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12251/123652767865744057/150928672264751 : 64820982A9915EE5
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=120447384588771240
2020-04-17	Oliver Kruse	C-PRP	M12251/150928672264751/123652767865744057 : 64820982A9915EE5
2017-10-12	kkmrkkblmbrbk	C-PRP	M12251/150928672264751/123652767865744057 : EA30B3DDEC1E8128
2017-09-21	Oliver Kruse	C-PRP	M12251/150928672264751/123652767865744057 : EA30B3DDEC1E8128
2017-09-21	Oliver Kruse	C-PRP	M12251/150928672264751/123652767865744057 : EA30B3DDEC1E8128
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 123652767865744057