7 247 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
64222791715560094681	20	65.8	old
1668120936822602206372529	25	80.5	old

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	2702 / 16550

Estimated T-Level: 45.8 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D8D9970E50A52690	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D8D9970E50A52690	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D8D9970E50A52690	2	2418	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D12F637D03389B6D	2	3800	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	D12F637D03389B6D	2	4718	5	3

History

Date	User	Type	Result
2025-04-03	masser	NF-PP1	Start=158/43, 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	M7247/64222791715560094681/1668120936822602206372529 : D12F637D03389B6D
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	M7247/64222791715560094681/1668120936822602206372529 : D12F637D03389B6D
2017-12-07	ATH	C-PRP	M7247/64222791715560094681/1668120936822602206372529 : D8D9970E50A52690
2017-10-02	kkmrkkblmbrbk	C-PRP	M7247/64222791715560094681/1668120936822602206372529 : D8D9970E50A52690
2017-09-21	Oliver Kruse	C-PRP	M7247/known_factors : D8D9970E50A52690
2009-10-25	Carsten Kossendey	F-PM1	Factor: 64222791715560094681