7 639 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
550009	6	19.1	old
1840097599	10	30.8	old
255710162055329	15	47.9	old
75685327000656566600963398457195443241	38	125.8	2014-08-30 01:03:43

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	B547BF57929F64AB	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B547BF57929F64AB	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B547BF57929F64AB	4	3668	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5396D1CD21DD5932	4	3246	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5396D1CD21DD5932	4	5319	5	3

History

Date	User	Type	Result
2025-04-12	masser	NF-PP1	Start=189/31, 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
2024-12-09	yuriy_5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2024-02-03	Wentao Huang	C-PRP	M7639/550009/1840097599/255710162055329/75685327000656566600963398457195443241 : 5396D1CD21DD5932
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7639/550009/1840097599/255710162055329/75685327000656566600963398457195443241 : 5396D1CD21DD5932
2017-12-07	ATH	C-PRP	M7639/550009/1840097599/255710162055329/75685327000656566600963398457195443241 : B547BF57929F64AB
2017-10-02	kkmrkkblmbrbk	C-PRP	M7639/550009/1840097599/255710162055329/75685327000656566600963398457195443241 : B547BF57929F64AB
2017-09-21	Oliver Kruse	C-PRP	M7639/known_factors : B547BF57929F64AB
2014-08-30	James Hintz	F-ECM	Factor: 75685327000656566600963398457195443241