7 717 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
19446841	8	24.2	old
13968927551	11	33.7	old
57756173327	11	35.7	old
3171474427519	13	41.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6619 / 9201

Estimated T-Level: 43.6 ⓘ

TF below 2^140 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	483F97CB9C89F34F	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	483F97CB9C89F34F	4	0	1	3
Verified	2017-12-07	ATH	483F97CB9C89F34F	4	4116	1	3
Verified	2020-04-17	Oliver Kruse	E30BAD2EC3D85D28	4	3214	5	3
Verified	2024-02-03	Wentao Huang	E30BAD2EC3D85D28	4	6266	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7717/19446841/13968927551/57756173327/3171474427519 : E30BAD2EC3D85D28 PRP: Verified PRP without proof (small exponent)
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7717/19446841/13968927551/57756173327/3171474427519 : E30BAD2EC3D85D28 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7717/19446841/13968927551/57756173327/3171474427519 : 483F97CB9C89F34F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7717/19446841/13968927551/57756173327/3171474427519 : 483F97CB9C89F34F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7717/known_factors : 483F97CB9C89F34F PRP without proof (not generated)