198 613 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
36544793	8	25.1	old
135738235472701034195851982161	30	96.8	2020-06-17 00:56:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	606 / 640

Estimated T-Level: 29.7 ⓘ

TF below 2^94 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	0EC4ECD511DF3E98	1	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	0EC4ECD511DF3E98	1	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	0EC4ECD511DF3E98	1	23259	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	9A988AAA0BFE40CD	1	8941	5	3
Verified	2020-06-17	M Miller	9A988AAA0BFE40CD	2	110429	5	3
Verified	2023-08-24	USAFSS	9A988AAA0BFE40CD	2	182211	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M198613/36544793/135738235472701034195851982161 : 9A988AAA0BFE40CD PRP proof power = 5 PRP: Verified Proof certified good
2020-06-17	M Miller	C-PRP	M198613/36544793/135738235472701034195851982161 : 9A988AAA0BFE40CD PRP: Verified PRP without proof (small exponent)
2020-06-17	nordi	F-ECM	Factor: 135738235472701034195851982161 / (ECM curve 145, B1=250000, B2=25000000, Sigma=8950855355734742)
2020-04-17	Oliver Kruse	C-PRP	M198613/36544793 : 9A988AAA0BFE40CD PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M198613/36544793 : 0EC4ECD511DF3E98 PRP: Verified PRP without proof (small exponent)
2017-09-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-09-22	Oliver Kruse	C-PRP	M198613/36544793 : 0EC4ECD511DF3E98 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M198613/36544793 : 0EC4ECD511DF3E98 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M198613/36544793 : 0EC4ECD511DF3E98 PRP without proof (not generated)