218 249 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
89383449409795039	17	56.3	old
54786961439982110530346167	26	85.5	2018-11-04 15:19:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	547 / 640

Estimated T-Level: 29.3 ⓘ

TF below 2^92 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	EB097BA4BF4CEDBA	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	EB097BA4BF4CEDBA	1	148848	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	EB097BA4BF4CEDBA	1	85583	1	3
Verified	2018-11-05	_p95holder_	7F624C10457E9953	2	120331	5	3
Verified	2018-11-05	kkmrkkblmbrbk	7F624C10457E9953	2	40436	5	3
Verified	2023-08-03	USAFSS	7F624C10457E9953	2	3942	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M218249/89383449409795039/54786961439982110530346167 : 7F624C10457E9953 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-03-02	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-30	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-05-02	Dylan Delgado	NF-PM1	B1=6500000, B2=604500000
2018-11-05	kkmrkkblmbrbk	C-PRP	M218249/89383449409795039/54786961439982110530346167 : 7F624C10457E9953 PRP: Verified PRP without proof (small exponent)
2018-11-05	_p95holder_	C-PRP	M218249/89383449409795039/54786961439982110530346167 : 7F624C10457E9953 PRP: Verified PRP without proof (small exponent)
2018-11-04	Ducho_YYZ	F-ECM	Factor: 54786961439982110530346167 / (ECM curve 2, B1=250000, B2=25000000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M218249/89383449409795039 : EB097BA4BF4CEDBA PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M218249/89383449409795039 : EB097BA4BF4CEDBA PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M218249/89383449409795039 : EB097BA4BF4CEDBA PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M218249/89383449409795039 : EB097BA4BF4CEDBA PRP without proof (not generated)