12 577 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
9256673	7	23.1	old
25131864481	11	34.5	2008-08-26 19:58:37
55879275747696134861297	23	75.6	2008-08-29 02:24:31
27967004787210103467718862519	29	94.5	2009-12-31 16:20:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1451 / 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	8A2C37D584D91780	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8A2C37D584D91780	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	8A2C37D584D91780	4	11539	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5268AF54AD7E6437	4	1720	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5268AF54AD7E6437	4	5367	5	3

History

Date	User	Type	Result
2025-03-12	masser	NF-PP1	Start=188/47, B1=430000000, B2=429570000000
2025-02-18	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	M12577/25131864481/27967004787210103467718862519/55879275747696134861297/9256673 : 5268AF54AD7E6437
2023-05-13	Anton Repko	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12577/9256673/25131864481/55879275747696134861297/27967004787210103467718862519 : 5268AF54AD7E6437
2017-12-07	ATH	C-PRP	M12577/9256673/25131864481/55879275747696134861297/27967004787210103467718862519 : 8A2C37D584D91780
2017-10-02	kkmrkkblmbrbk	C-PRP	M12577/9256673/25131864481/55879275747696134861297/27967004787210103467718862519 : 8A2C37D584D91780
2017-09-21	Oliver Kruse	C-PRP	M12577/known_factors : 8A2C37D584D91780
2009-12-31	Matthias Wurtinger	F-ECM	Factor: 27967004787210103467718862519
2008-08-29	-anonymous-	F-ECM	Factor: 55879275747696134861297
2008-08-26	-anonymous-	F	Factor: 25131864481