7 237 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
140293584015721	15	47.0	old
63484532968263077441	20	65.8	old
470257048912459353654355714889	30	98.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2050 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^132 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	29EAF0EFBDDD814B	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	29EAF0EFBDDD814B	3	0	1	3
Verified	2017-12-07	ATH	29EAF0EFBDDD814B	3	3598	1	3
Verified	2020-04-17	Oliver Kruse	4296D1C2CF9FBDFB	3	5640	5	3
Verified	2024-02-03	Wentao Huang	4296D1C2CF9FBDFB	3	2912	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 4296D1C2CF9FBDFB PRP: Verified PRP without proof (small exponent)
2023-08-27	-Anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 4296D1C2CF9FBDFB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 29EAF0EFBDDD814B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 29EAF0EFBDDD814B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7237/known_factors : 29EAF0EFBDDD814B PRP without proof (not generated)