92 459 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
202670129	9	27.6	old
2106585857	10	31.0	2008-08-26 20:11:40
89318675480994225499056262039841	32	106.1	2019-04-19 12:35:58
543259182333011804411673092327891767	36	118.7	2021-04-29 22:04:03

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1171 / 4588

Estimated T-Level: 36.3 ⓘ

TF below 2^116 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	3422BC732ED09712	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	3422BC732ED09712	2	59447	1	3
Verified (Factored)	2019-04-20	artorollo	5E8BE1B8A31AF8E3	3	39185	5	3
Verified (Factored)	2019-04-20	ANONYMOUS	5E8BE1B8A31AF8E3	3	75037	5	3
Verified (Factored)	2019-04-21	marssystems	5E8BE1B8A31AF8E3	3	77393	5	3
Verified	2021-04-30	mnd9	5E8BE1B8A31AF8E3	4	69678	5	3
Verified	2021-04-30	XZT	5E8BE1B8A31AF8E3	4	77619	5	3

History

Date	User	Type	Result
2022-07-20	George Woltman	NF-PM1	B1=1000000000, B2=73738311997350
2021-04-30	XZT	C-PRP	M92459/202670129/2106585857/89318675480994225499056262039841/543259182333011804411673092327891767 : 5E8BE1B8A31AF8E3 PRP: Verified PRP without proof (small exponent)
2021-04-30	mnd9	C-PRP	M92459/202670129/2106585857/89318675480994225499056262039841/543259182333011804411673092327891767 : 5E8BE1B8A31AF8E3 PRP: Verified PRP without proof (small exponent)
2021-04-29	nordi	F-PP1	Start=6/5, B1=40000000, Factor: 543259182333011804411673092327891767
2021-04-25	nordi	NF-PP1	Start=2/7, B1=40000000, B2=5240000000
2019-04-21	marssystems	C-PRP	M92459/202670129/2106585857/89318675480994225499056262039841 : 5E8BE1B8A31AF8E3 PRP: Verified PRP without proof (small exponent)
2019-04-20	ANONYMOUS	C-PRP	M92459/202670129/2106585857/89318675480994225499056262039841 : 5E8BE1B8A31AF8E3 PRP: Verified PRP without proof (small exponent)
2019-04-20	artorollo	C-PRP	M92459/202670129/2106585857/89318675480994225499056262039841 : 5E8BE1B8A31AF8E3 PRP: Verified PRP without proof (small exponent)
2019-04-19	Niels_Mache_Nextcloud	F-ECM	Factor: 89318675480994225499056262039841 / (ECM curve 1, B1=1000000, B2=100000000)
2017-10-13	kkmrkkblmbrbk	C-PRP	M92459/202670129/2106585857 : 3422BC732ED09712 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M92459/202670129/2106585857 : 3422BC732ED09712 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M92459/202670129/2106585857 : 3422BC732ED09712 PRP without proof (not generated)
2016-12-17	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 2106585857