12 473 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
340662577	9	28.3	old
25666065428755315441	20	64.5	2008-08-29 02:24:30

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	14C74642C6514E37	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	14C74642C6514E37	2	7460	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8962124411A0ABC7	2	4279	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8962124411A0ABC7	2	3938	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=141/19, B1=430000000, B2=429570000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12473/25666065428755315441/340662577 : 8962124411A0ABC7
2023-05-13	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2020-04-17	Oliver Kruse	C-PRP	M12473/340662577/25666065428755315441 : 8962124411A0ABC7
2017-10-12	kkmrkkblmbrbk	C-PRP	M12473/340662577/25666065428755315441 : 14C74642C6514E37
2017-09-21	Oliver Kruse	C-PRP	M12473/340662577/25666065428755315441 : 14C74642C6514E37
2017-09-21	Oliver Kruse	C-PRP	M12473/340662577/25666065428755315441 : 14C74642C6514E37
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 25666065428755315441