12 541 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
414429887	9	28.6	old
6782604842581726107967	22	72.5	2008-08-29 02:24:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	5170 / 9201

Estimated T-Level: 42.8 ⓘ

TF below 2^137 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	29336BE09891035B	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	29336BE09891035B	2	1687	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A0294FDE127CEBD7	2	10361	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A0294FDE127CEBD7	2	10838	5	3

History

Date	User	Type	Result
2025-03-13	masser	NF-PP1	Start=179/37, B1=430000000, B2=429570000000
2025-02-22	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	M12541/414429887/6782604842581726107967 : A0294FDE127CEBD7
2023-05-13	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12541/414429887/6782604842581726107967 : A0294FDE127CEBD7
2017-10-12	kkmrkkblmbrbk	C-PRP	M12541/414429887/6782604842581726107967 : 29336BE09891035B
2017-09-21	Oliver Kruse	C-PRP	M12541/414429887/6782604842581726107967 : 29336BE09891035B
2017-09-21	Oliver Kruse	C-PRP	M12541/414429887/6782604842581726107967 : 29336BE09891035B
2008-08-29	-anonymous-	F-ECM	Factor: 6782604842581726107967