7 307 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
42715085233	11	35.3	old
648983013113	12	39.2	old
19403975118784485727087679570650087	35	113.9	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	2867 / 16550

Estimated T-Level: 45.9 ⓘ

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	569ED8DE980A2E89	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	569ED8DE980A2E89	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	569ED8DE980A2E89	3	1679	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C0827860D01CFA11	3	1936	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	C0827860D01CFA11	3	6297	5	3

History

Date	User	Type	Result
2025-04-03	masser	NF-PP1	Start=180/71, B1=830000000, B2=829170000000
2025-03-24	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	M7307/42715085233/648983013113/19403975118784485727087679570650087 : C0827860D01CFA11
2023-08-30	-anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7307/42715085233/648983013113/19403975118784485727087679570650087 : C0827860D01CFA11
2017-12-07	ATH	C-PRP	M7307/42715085233/648983013113/19403975118784485727087679570650087 : 569ED8DE980A2E89
2017-10-02	kkmrkkblmbrbk	C-PRP	M7307/42715085233/648983013113/19403975118784485727087679570650087 : 569ED8DE980A2E89
2017-09-21	Oliver Kruse	C-PRP	M7307/known_factors : 569ED8DE980A2E89