7 057 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
621017	6	19.2	old
47758280943609490592879268928418689	35	115.2	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	2674 / 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	7DCAB7A05A35D91F	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7DCAB7A05A35D91F	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	7DCAB7A05A35D91F	2	1004	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9EE1FBB329454316	2	5754	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	9EE1FBB329454316	2	4853	5	3

History

Date	User	Type	Result
2025-03-25	masser	NF-PP1	Start=91/53, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M7057/621017/47758280943609490592879268928418689 : 9EE1FBB329454316
2023-08-23	-anonymous-	NF-PM1	B1=34000000000, B2=142098478841769450
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7057/621017/47758280943609490592879268928418689 : 9EE1FBB329454316
2017-12-07	ATH	C-PRP	M7057/621017/47758280943609490592879268928418689 : 7DCAB7A05A35D91F
2017-10-02	kkmrkkblmbrbk	C-PRP	M7057/621017/47758280943609490592879268928418689 : 7DCAB7A05A35D91F
2017-09-21	Oliver Kruse	C-PRP	M7057/known_factors : 7DCAB7A05A35D91F