3 911 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7823	4	12.9	old
4999797946894889	16	52.2	old
160754589371513519	18	57.2	old
36321458453183426781103	23	74.9	old
166254254351927965517863935760773095257	39	127.0	old
3807917225555431495562413018919160381425772769	46	151.4	2009-07-10 02:52:45
696036183178571783709670174984342197492269482606425638707769	60	198.8	2020-04-22 22:55:13

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	13115 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	CFFEC70A8CD76932	6	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	CFFEC70A8CD76932	6	0	1	3
Verified (Factored)	2017-12-07	ATH	CFFEC70A8CD76932	6	2064	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D1758C697262371D	6	14	5	3
Verified	2020-04-22	M Miller	D1758C697262371D	7	2279	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	D1758C697262371D	1	576	5	3

History

Date	User	Type	Result
2023-05-15	JacobZ	NF-PM1	B1=67000000000, B2=674804699646066990
2022-05-12	Jorge Coveiro	C-PRP	M3911/7823 : D1758C697262371D PRP: Verified (Factored) PRP without proof (small exponent)
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-22	M Miller	C-PRP	M3911/7823/4999797946894889/160754589371513519/36321458453183426781103/166254254351927965517863935760773095257/3807917225555431495562413018919160381425772769/696036183178571783709670174984342197492269482606425638707769 : D1758C697262371D PRP: Verified (Factored) PRP without proof (small exponent)
2020-04-22	Ryan Propper	F-ECM	Factor: 696036183178571783709670174984342197492269482606425638707769 / (ECM curve 1, B1=260000000)
2020-04-17	Oliver Kruse	C-PRP	M3911/7823/4999797946894889/160754589371513519/36321458453183426781103/166254254351927965517863935760773095257/3807917225555431495562413018919160381425772769 : D1758C697262371D PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3911/7823/4999797946894889/160754589371513519/36321458453183426781103/166254254351927965517863935760773095257/3807917225555431495562413018919160381425772769 : CFFEC70A8CD76932 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3911/7823/4999797946894889/160754589371513519/36321458453183426781103/166254254351927965517863935760773095257/3807917225555431495562413018919160381425772769 : CFFEC70A8CD76932 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3911/known_factors : CFFEC70A8CD76932 PRP without proof (not generated)
2009-07-10	unconnected	F-ECM	Factor: 3807917225555431495562413018919160381425772769