8 237 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
1054337	7	20.0	old
144437734978241	15	47.0	old
280477771028681	15	48.0	old
798341724557237187887992784467781709878687	42	139.2	2025-08-09 04:11:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6944 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	1F7BC519EC338A81	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	1F7BC519EC338A81	3	5323	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	074AF34CB14296E6	3	1744	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	074AF34CB14296E6	3	3469	5	3
Verified	No proof (small exponent)	2025-08-15	mrh	074AF34CB14296E6	4	6064	5	3
Verified	No proof (small exponent)	2025-08-20	Cimaron	074AF34CB14296E6	4	5401	5	3

History

Date	User	Type	Result
2025-08-20	Cimaron	C-PRP	M8237/1054337/144437734978241/280477771028681/798341724557237187887992784467781709878687 : 074AF34CB14296E6
2025-08-15	mrh	C-PRP	M8237/1054337/144437734978241/280477771028681/798341724557237187887992784467781709878687 : 074AF34CB14296E6
2025-08-09	Ryan Propper	F-ECM	Factor: 798341724557237187887992784467781709878687
2025-05-19	masser	NF-PP1	Start=80/67, B1=1300000000, B2=1298700000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8237/1054337/144437734978241/280477771028681 : 074AF34CB14296E6
2023-08-31	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8237/1054337/144437734978241/280477771028681 : 074AF34CB14296E6
2017-10-12	kkmrkkblmbrbk	C-PRP	M8237/1054337/144437734978241/280477771028681 : 1F7BC519EC338A81
2017-09-21	Oliver Kruse	C-PRP	M8237/1054337/144437734978241/280477771028681 : 1F7BC519EC338A81
2017-09-21	Oliver Kruse	C-PRP	M8237/1054337/144437734978241/280477771028681 : 1F7BC519EC338A81