4 909 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
17693989783	11	34.0	old
3307507976197457868327698053948872589056321143	46	151.2	2020-10-14 14:41:54

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	12767 / 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	D164E7E6F7A40940	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D164E7E6F7A40940	1	4856	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0DE7A09A5F0B5D3E	1	460	5	3
Verified	2020-10-14	mnd9	0DE7A09A5F0B5D3E	2	4767	5	3
Verified	2020-10-15	tottenhoff	0DE7A09A5F0B5D3E	2	4038	5	3

History

Date	User	Type	Result
2023-05-31	-Anonymous-	NF-PM1	B1=64000000000, B2=642189744639793350
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-15	tottenhoff	C-PRP	M4909/17693989783/3307507976197457868327698053948872589056321143 : 0DE7A09A5F0B5D3E PRP: Verified PRP without proof (small exponent)
2020-10-14	mnd9	C-PRP	M4909/17693989783/3307507976197457868327698053948872589056321143 : 0DE7A09A5F0B5D3E PRP: Verified PRP without proof (small exponent)
2020-10-14	Ryan Propper	F-ECM	Factor: 3307507976197457868327698053948872589056321143 / (ECM curve 1, B1=260000000, B2=3104064163218, Sigma=9933251095750417853)
2020-04-17	Oliver Kruse	C-PRP	M4909/17693989783 : 0DE7A09A5F0B5D3E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4909/17693989783 : D164E7E6F7A40940 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4909/17693989783 : D164E7E6F7A40940 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4909/17693989783 : D164E7E6F7A40940 PRP without proof (not generated)