12 109 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
77619446030913817991	20	66.1	old

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	120942232635634416

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1611 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A8B221C6F7F90667	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A8B221C6F7F90667	1	9505	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	73334F92FC1C4462	1	182	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	73334F92FC1C4462	1	4203	5	3

History

Date	User	Type	Result
2025-03-08	masser	NF-PP1	Start=147/31, B1=430000000, B2=429570000000
2025-02-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12109/77619446030913817991 : 73334F92FC1C4462
2023-04-06	Anton Repko	F-PM1	Factor: 77619446030913817991 / B1=100000000000, B2=120942232635634410
2020-04-17	Oliver Kruse	C-PRP	M12109/77619446030913817991 : 73334F92FC1C4462
2017-10-12	kkmrkkblmbrbk	C-PRP	M12109/77619446030913817991 : A8B221C6F7F90667
2017-09-21	Oliver Kruse	C-PRP	M12109/77619446030913817991 : A8B221C6F7F90667
2017-09-21	Oliver Kruse	C-PRP	M12109/77619446030913817991 : A8B221C6F7F90667
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12