1 767 043 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
24851692753	11	34.5	old
20586856721609	14	44.2	2008-09-30 13:30:14
181681626023067956829343	24	77.3	2019-08-15 00:08:05
43440802295682284812369559	26	85.2	2023-04-11 08:45:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	28B6AA1010B3EDAE	2	0	1	3
Verified (Factored)	2017-11-04	kkmrkkblmbrbk	28B6AA1010B3EDAE	2	1515448	1	3
Verified (Factored)	2019-08-15	Niels_Mache_Nextcloud	B7B33A228CDBA64E	3	6453	5	3
Verified (Factored)	2019-08-16	marssystems	B7B33A228CDBA64E	3	1396538	5	3
Verified	2023-04-11	Naegi Makoto	B7B33A228CDBA64E	4	46107	5	3

History

Date	User	Type	Result
2023-04-11	Essenz	CERT	PRP Certification Proof certified good
2023-04-11	Naegi Makoto	C-PRP	M1767043/24851692753/20586856721609/181681626023067956829343/43440802295682284812369559 : B7B33A228CDBA64E PRP proof power = 7 PRP: Verified Proof certified good
2023-04-11	TJAOI	F-ECM	Factor: 43440802295682284812369559 / (ECM curve 5, B1=250000, B2=40000000, Sigma=5756173900785480)
2019-08-16	marssystems	C-PRP	M1767043/24851692753/20586856721609/181681626023067956829343 : B7B33A228CDBA64E PRP: Verified (Factored) PRP without proof (not generated)
2019-08-15	Niels_Mache_Nextcloud	C-PRP	M1767043/24851692753/20586856721609/181681626023067956829343 : B7B33A228CDBA64E PRP: Verified (Factored) PRP without proof (not generated)
2019-08-15	Chang Chia-Tche	F-ECM	Factor: 181681626023067956829343 / (ECM curve 1, B1=50000, B2=5000000)
2017-11-04	kkmrkkblmbrbk	C-PRP	M1767043/24851692753/20586856721609 : 28B6AA1010B3EDAE PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1767043/24851692753/20586856721609 : 28B6AA1010B3EDAE PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-09-30	markr	F	Factor: 20586856721609