12 101 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
413951009	9	28.6	old
47485842717006431	17	55.4	2008-08-26 19:58:36
212182085842938966796830490368147901927931119	45	147.3	2025-07-22 12:48:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1620 / 9201

Estimated T-Level: 40.9 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	A87E9700F6651D70	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A87E9700F6651D70	2	10129	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	946AEB9724F58FF6	2	159	5	3
Factored	No proof (small exponent)	2023-05-19	-anonymous-	946AEB9724F58FF6	2	6258	5	3
Verified	No proof (small exponent)	2025-07-30	COMPUTRON9001	946AEB9724F58FF6	3	11424	5	3

History

Date	User	Type	Result
2025-07-30	COMPUTRON9001	C-PRP	M12101/413951009/47485842717006431/212182085842938966796830490368147901927931119 : 946AEB9724F58FF6
2025-07-22	Ryan Propper	F-ECM	Factor: 212182085842938966796830490368147901927931119
2025-03-08	masser	NF-PP1	Start=190/31, B1=430000000, B2=429570000000
2025-02-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12101/413951009/47485842717006431 : 946AEB9724F58FF6
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M12101/413951009/47485842717006431 : 946AEB9724F58FF6
2017-10-12	kkmrkkblmbrbk	C-PRP	M12101/413951009/47485842717006431 : A87E9700F6651D70
2017-09-21	Oliver Kruse	C-PRP	M12101/413951009/47485842717006431 : A87E9700F6651D70
2017-09-21	Oliver Kruse	C-PRP	M12101/413951009/47485842717006431 : A87E9700F6651D70
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F-ECM	Factor: 47485842717006431