7 907 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
546405329	9	29.0	old
25476412042319885336254631906237458966100954918567	50	164.1	2025-03-14 12:38:19

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	12356 / 16550

Estimated T-Level: 48.7 ⓘ

TF below 2^157 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	BE0E7A4D12DDE5B3	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BE0E7A4D12DDE5B3	1	2751	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	9340DAA8EEC5C3B1	1	1059	5	3
Factored	No proof (small exponent)	2024-02-03	Wentao Huang	9340DAA8EEC5C3B1	1	3638	5	3
Verified	No proof (small exponent)	2025-03-14	nordi	9340DAA8EEC5C3B1	2	6222	5	3

History

Date	User	Type	Result
2025-05-29	masser	NF-PP1	Start=187/31, B1=1300000000, B2=1298700000000
2025-03-14	nordi	C-PRP	M7907/546405329/25476412042319885336254631906237458966100954918567 : 9340DAA8EEC5C3B1
2025-03-14	nordi	F-ECM	Factor: 25476412042319885336254631906237458966100954918567 / ECM curve 237, B1=110000000, B2=3103899523725, Edwards Sigma=6119245614152612
2024-02-03	Wentao Huang	C-PRP	M7907/546405329 : 9340DAA8EEC5C3B1
2023-05-22	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2021-01-26	Joss	NF-PM1	B1=128000000, B2=1600000000000
2021-01-24	Joss	NF-PM1	B1=128000000, B2=1000000000000
2021-01-17	Joss	NF-PM1	B1=128000000, B2=128000000000
2021-01-17	Joss	NF-PM1	B1=64000000
2021-01-17	Joss	NF-PM1	B1=32000000
2021-01-17	Joss	NF-PM1	B1=16000000
2021-01-17	Joss	NF-PM1	B1=4000000
2021-01-17	Joss	NF-PM1	B1=8000000
2021-01-17	Joss	NF-PM1	B1=1000000
2021-01-17	Joss	NF-PM1	B1=2000000
2020-04-17	Oliver Kruse	C-PRP	M7907/546405329 : 9340DAA8EEC5C3B1
2017-10-12	kkmrkkblmbrbk	C-PRP	M7907/546405329 : BE0E7A4D12DDE5B3
2017-09-21	Oliver Kruse	C-PRP	M7907/546405329 : BE0E7A4D12DDE5B3
2017-09-21	Oliver Kruse	C-PRP	M7907/546405329 : BE0E7A4D12DDE5B3