256 181 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
19982119	8	24.3	old
92688573402819760348204129	26	86.3	2020-11-22 09:53:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	430 / 640

Estimated T-Level: 28.4 ⓘ

TF below 2^89 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	E7EEE24A12975F58	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	E7EEE24A12975F58	1	92483	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	E7EEE24A12975F58	1	61555	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	7A00AB15E6FB02A0	1	4735	5	3
Verified	2020-11-22	mrh	7A00AB15E6FB02A0	2	71294	5	3

History

Date	User	Type	Result
2022-04-27	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-05	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-11-22	Simon Josefsson	CERT	PRP Certification Proof certified good
2020-11-22	mrh	C-PRP	M256181/19982119/92688573402819760348204129 : 7A00AB15E6FB02A0 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-22	MarkS	F-ECM	Factor: 92688573402819760348204129 / (ECM curve 1, B1=250000, B2=25000000, Sigma=1779696627644484)
2020-04-17	Oliver Kruse	C-PRP	M256181/19982119 : 7A00AB15E6FB02A0 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M256181/19982119 : E7EEE24A12975F58 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M256181/19982119 : E7EEE24A12975F58 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M256181/19982119 : E7EEE24A12975F58 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M256181/19982119 : E7EEE24A12975F58 PRP without proof (not generated)