7 237 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
140293584015721	15	47.0	old
63484532968263077441	20	65.8	old
470257048912459353654355714889	30	98.6	old
75837700835754946174671262443156184856270368238521	50	165.7	2025-12-22 10:26:28

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	2467 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	29EAF0EFBDDD814B	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	29EAF0EFBDDD814B	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	29EAF0EFBDDD814B	3	3598	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	4296D1C2CF9FBDFB	3	5640	5	3
Factored	No proof (small exponent)	2024-02-03	Wentao Huang	4296D1C2CF9FBDFB	3	2912	5	3
Verified	No proof (small exponent)	2025-12-22	Jan S.	4296D1C2CF9FBDFB	4	4067	5	3

History

Date	User	Type	Result
2025-12-22	Jan S.	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889/75837700835754946174671262443156184856270368238521 : 4296D1C2CF9FBDFB
2025-12-22	Jan S.	F-ECM	Factor: 75837700835754946174671262443156184856270368238521 / ECM curve 24, B1=15869311, B2=427295939070, Edwards Sigma=5189307427011589
2025-04-02	masser	NF-PP1	Start=125/29, B1=830000000, B2=829170000000
2025-03-23	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-15	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 4296D1C2CF9FBDFB
2023-08-27	-anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 4296D1C2CF9FBDFB
2017-12-07	ATH	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 29EAF0EFBDDD814B
2017-10-02	kkmrkkblmbrbk	C-PRP	M7237/140293584015721/63484532968263077441/470257048912459353654355714889 : 29EAF0EFBDDD814B
2017-09-21	Oliver Kruse	C-PRP	M7237/known_factors : 29EAF0EFBDDD814B
1999-04-23	-anonymous-	F-PM1	Factor: 140293584015721