7 687 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
445847	6	18.8	old
1581931055616196447	19	60.5	old
42696750993955910912369	23	75.2	old
149420500232295251799844886897	30	96.9	old
1338594922725774350630334401897	31	100.1	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	12042 / 16550

Estimated T-Level: 48.6 ⓘ

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	0A41C0BCD0D9F380	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	0A41C0BCD0D9F380	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	0A41C0BCD0D9F380	5	749	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3BC07848A6CE1CA5	5	5339	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3BC07848A6CE1CA5	5	6648	5	3

History

Date	User	Type	Result
2025-04-08	masser	NF-PP1	Start=78/23, B1=830000000, B2=829170000000
2025-03-30	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-20	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-10	yuriy_5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2024-02-03	Wentao Huang	C-PRP	M7687/445847/1581931055616196447/42696750993955910912369/149420500232295251799844886897/1338594922725774350630334401897 : 3BC07848A6CE1CA5
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7687/445847/1581931055616196447/42696750993955910912369/149420500232295251799844886897/1338594922725774350630334401897 : 3BC07848A6CE1CA5
2017-12-07	ATH	C-PRP	M7687/445847/1581931055616196447/42696750993955910912369/149420500232295251799844886897/1338594922725774350630334401897 : 0A41C0BCD0D9F380
2017-10-02	kkmrkkblmbrbk	C-PRP	M7687/445847/1581931055616196447/42696750993955910912369/149420500232295251799844886897/1338594922725774350630334401897 : 0A41C0BCD0D9F380
2017-09-21	Oliver Kruse	C-PRP	M7687/known_factors : 0A41C0BCD0D9F380