7 517 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
12012167	8	23.5	old
27743142241	11	34.7	old
149941343423	12	37.1	old
7803945795124327	16	52.8	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	13567 / 16550

Estimated T-Level: 49.1 ⓘ

TF below 2^158 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	6A39B5ABE0286785	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6A39B5ABE0286785	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	6A39B5ABE0286785	4	822	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2185760F2DD3DAB0	4	5228	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	2185760F2DD3DAB0	4	6476	5	3

History

Date	User	Type	Result
2025-04-06	masser	NF-PP1	Start=152/61, B1=830000000, B2=829170000000
2025-03-27	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-18	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7517/12012167/27743142241/149941343423/7803945795124327 : 2185760F2DD3DAB0
2023-09-04	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7517/12012167/27743142241/149941343423/7803945795124327 : 2185760F2DD3DAB0
2017-12-07	ATH	C-PRP	M7517/12012167/27743142241/149941343423/7803945795124327 : 6A39B5ABE0286785
2017-10-02	kkmrkkblmbrbk	C-PRP	M7517/12012167/27743142241/149941343423/7803945795124327 : 6A39B5ABE0286785
2017-09-21	Oliver Kruse	C-PRP	M7517/known_factors : 6A39B5ABE0286785