3 191 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
40895857	8	25.3	old
4693933385087	13	42.1	old
3051176894854767815130533410847	31	101.3	old
11296174004756232698797243192821959	35	113.1	old
5429264746931713615548606598055124977	37	122.0	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	16550 / 16550
55	110000000	15168 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	4BC0A72551B2923B	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4BC0A72551B2923B	5	0	1	3
Verified	2017-12-07	ATH	4BC0A72551B2923B	5	1728	1	3
Verified	2020-04-17	Oliver Kruse	CBFDECA1D941CD54	5	1105	5	3
Verified	2024-02-03	Wentao Huang	CBFDECA1D941CD54	5	629	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3191/40895857/4693933385087/5429264746931713615548606598055124977/3051176894854767815130533410847/11296174004756232698797243192821959 : CBFDECA1D941CD54 PRP: Verified PRP without proof (small exponent)
2022-04-11	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3191/40895857/4693933385087/3051176894854767815130533410847/11296174004756232698797243192821959/5429264746931713615548606598055124977 : CBFDECA1D941CD54 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3191/40895857/4693933385087/3051176894854767815130533410847/11296174004756232698797243192821959/5429264746931713615548606598055124977 : 4BC0A72551B2923B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3191/40895857/4693933385087/3051176894854767815130533410847/11296174004756232698797243192821959/5429264746931713615548606598055124977 : 4BC0A72551B2923B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3191/known_factors : 4BC0A72551B2923B PRP without proof (not generated)