7 607 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
3842104813651040425861302239	28	91.6	old
10349487715195862854341815183	29	93.1	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	12109 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	68A1969A131E9429	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	68A1969A131E9429	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	68A1969A131E9429	2	3015	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D1BA1242A1F194A5	2	1190	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	D1BA1242A1F194A5	2	2307	5	3

History

Date	User	Type	Result
2025-04-07	masser	NF-PP1	Start=168/67, B1=830000000, B2=829170000000
2025-03-30	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-19	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-11-07	masser	NF-PM1	B1=50000000000, B2=49109844535752000
2024-02-03	Wentao Huang	C-PRP	M7607/3842104813651040425861302239/10349487715195862854341815183 : D1BA1242A1F194A5
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7607/3842104813651040425861302239/10349487715195862854341815183 : D1BA1242A1F194A5
2017-12-07	ATH	C-PRP	M7607/3842104813651040425861302239/10349487715195862854341815183 : 68A1969A131E9429
2017-10-02	kkmrkkblmbrbk	C-PRP	M7607/3842104813651040425861302239/10349487715195862854341815183 : 68A1969A131E9429
2017-09-21	Oliver Kruse	C-PRP	M7607/known_factors : 68A1969A131E9429