91 433 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
24869777	8	24.6	old
18430072679315593	17	54.0	2008-08-26 20:11:38
750910616861862410977	21	69.3	2009-08-14 15:39:03
306041082353001398251967	24	78.0	2014-07-06 10:38:38
723653065369669353614894604953567	33	109.2	2016-12-09 14:30:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	520 / 1566

Estimated T-Level: 31.7 ⓘ

TF below 2^100 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	EC6F39FC3AD9CCDF	5	0	1	3
Verified	2017-10-09	Chang Chia-Tche	EC6F39FC3AD9CCDF	5	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	EC6F39FC3AD9CCDF	5	42689	1	3
Verified	2020-04-17	Oliver Kruse	18E1F5268EACA43E	5	41313	5	3
Verified	2024-02-03	Wentao Huang	18E1F5268EACA43E	5	4448	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-09	723653065369669353614894604953567	100000000	2000000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M91433/24869777/18430072679315593/750910616861862410977/306041082353001398251967/723653065369669353614894604953567 : 18E1F5268EACA43E PRP: Verified PRP without proof (small exponent)
2022-07-11	George Woltman	NF-PM1	B1=1000000000, B2=70552596864750
2021-04-29	nordi	NF-PP1	Start=6/5, B1=40000000, B2=5240000000
2021-04-24	nordi	NF-PP1	Start=2/7, B1=40000000, B2=5240000000
2020-04-17	Oliver Kruse	C-PRP	M91433/24869777/18430072679315593/750910616861862410977/306041082353001398251967/723653065369669353614894604953567 : 18E1F5268EACA43E PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M91433/24869777/18430072679315593/750910616861862410977/306041082353001398251967/723653065369669353614894604953567 : EC6F39FC3AD9CCDF PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M91433/known_factors : EC6F39FC3AD9CCDF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M91433/24869777/18430072679315593/750910616861862410977/306041082353001398251967/723653065369669353614894604953567 : EC6F39FC3AD9CCDF PRP without proof (not generated)
2016-12-09	kkmrkkblmbrbk	F-PM1	Factor: 723653065369669353614894604953567 / (P-1, B1=100000000, B2=2000000000, E=12)
2014-07-06	TJAOI	F-ECM	Factor: 306041082353001398251967
2009-08-14	Matthias Wurtinger	F-ECM	Factor: 750910616861862410977
2008-08-26	-Anonymous-	F-PM1	Factor: 18430072679315593