12 791 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite: 2 known prime factors

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
25583	5	14.6	old
418134200041865219571449754595374907462927	42	138.3	2026-01-13 11:36:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1590 / 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	208B9BB58D4A8751	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	208B9BB58D4A8751	1	92	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	C7E07C459C589980	1	847	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	C7E07C459C589980	1	5034	5	3

History

Date	User	Type	Result
2026-01-13	Ryan Propper	F-ECM	Factor: 418134200041865219571449754595374907462927
2025-03-10	masser	NF-PP1	Start=105/67, B1=430000000, B2=429570000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-14	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2022-05-12	Jorge Coveiro	C-PRP	M12791/25583 : C7E07C459C589980
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12791/25583 : C7E07C459C589980
2017-10-12	kkmrkkblmbrbk	C-PRP	M12791/25583 : 208B9BB58D4A8751
2017-09-21	Oliver Kruse	C-PRP	M12791/25583 : 208B9BB58D4A8751
2017-09-21	Oliver Kruse	C-PRP	M12791/25583 : 208B9BB58D4A8751