189 067 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
689923881866039	15	49.3	old
582125921672433932928798862579889	33	108.8	2020-07-02 10:56:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	636 / 640

Estimated T-Level: 30.0 ⓘ

TF below 2^95 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	40112945DA0BFF4B	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	40112945DA0BFF4B	1	117979	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2E06CBF84EC92FF2	1	169253	5	3
Verified	2020-07-02	M Miller	2E06CBF84EC92FF2	2	177196	5	3
Verified	2023-08-24	USAFSS	2E06CBF84EC92FF2	2	24946	5	3

History

Date	User	Type	Result
2023-08-24	S00030	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M189067/689923881866039/582125921672433932928798862579889 : 2E06CBF84EC92FF2 PRP proof power = 5 PRP: Verified Proof certified good
2020-07-02	M Miller	C-PRP	M189067/689923881866039/582125921672433932928798862579889 : 2E06CBF84EC92FF2 PRP: Verified PRP without proof (small exponent)
2020-07-02	nordi	F-ECM	Factor: 582125921672433932928798862579889 / (ECM curve 98, B1=250000, B2=25000000, Sigma=2556419119925746)
2020-04-17	Oliver Kruse	C-PRP	M189067/689923881866039 : 2E06CBF84EC92FF2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M189067/689923881866039 : 40112945DA0BFF4B PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M189067/689923881866039 : 40112945DA0BFF4B PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M189067/689923881866039 : 40112945DA0BFF4B PRP without proof (not generated)
2017-08-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12