12 401 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1264903	7	20.3	old
1582610634799	13	40.5	2008-08-26 19:58:36
1060625584999199	16	49.9	2008-08-26 19:58:36
22937893152108201378495511	26	84.2	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2023-05-14	No new factors discovered	100000000000	120417199046794656

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1446 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	25DF0FEEFFF47EC3	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	25DF0FEEFFF47EC3	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	25DF0FEEFFF47EC3	4	7818	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F73E7AA9AB5545AD	4	3326	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	F73E7AA9AB5545AD	4	221	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=122/19, B1=430000000, B2=429570000000
2025-02-24	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12401/1060625584999199/1264903/1582610634799/22937893152108201378495511 : F73E7AA9AB5545AD
2023-05-14	-anonymous-	F-PM1	Factor: 22937893152108201378495511 / B1=100000000000, B2=120417199046794650
2020-04-17	Oliver Kruse	C-PRP	M12401/1264903/1582610634799/1060625584999199/22937893152108201378495511 : F73E7AA9AB5545AD
2017-12-07	ATH	C-PRP	M12401/1264903/1582610634799/1060625584999199/22937893152108201378495511 : 25DF0FEEFFF47EC3
2017-10-02	kkmrkkblmbrbk	C-PRP	M12401/1264903/1582610634799/1060625584999199/22937893152108201378495511 : 25DF0FEEFFF47EC3
2017-09-21	Oliver Kruse	C-PRP	M12401/known_factors : 25DF0FEEFFF47EC3
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 22937893152108201378495511
2008-08-26	-anonymous-	F	Factor: 1060625584999199
2008-08-26	-anonymous-	F	Factor: 1582610634799