7 193 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5409137	7	22.4	old
30983982494725037081	20	64.7	old
742145137972263264433	21	69.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2306 / 9201

Estimated T-Level: 41.3 ⓘ

TF below 2^132 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	2A99E044AED8F49E	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2A99E044AED8F49E	3	0	1	3
Verified	2017-12-07	ATH	2A99E044AED8F49E	3	5374	1	3
Verified	2020-04-17	Oliver Kruse	F4989758ED184549	3	3085	5	3
Verified	2024-02-03	Wentao Huang	F4989758ED184549	3	7138	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7193/5409137/30983982494725037081/742145137972263264433 : F4989758ED184549 PRP: Verified PRP without proof (small exponent)
2023-08-25	-Anonymous-	NF-PM1	B1=34000000000, B2=142096338314180250
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7193/5409137/30983982494725037081/742145137972263264433 : F4989758ED184549 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7193/5409137/30983982494725037081/742145137972263264433 : 2A99E044AED8F49E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7193/5409137/30983982494725037081/742145137972263264433 : 2A99E044AED8F49E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7193/known_factors : 2A99E044AED8F49E PRP without proof (not generated)