10 867 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
260809	6	18.0	old
1646909346343	13	40.6	2008-08-26 19:58:33
9677523601675733749811154062353	31	102.9	2008-10-16 23:57:25
82832860164133033565264741146994303791687	41	135.9	2019-08-20 16:00:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3679 / 9201

Estimated T-Level: 42.0 ⓘ

TF below 2^135 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	E4A2CBB2F76CCBE5	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E4A2CBB2F76CCBE5	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E4A2CBB2F76CCBE5	3	9059	1	3
Verified	2019-08-21	mnd9	2984404D462E3E8E	4	2846	5	3
Verified	2019-08-21	marssystems	2984404D462E3E8E	4	2458	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-29	82832860164133033565264741146994303791687	100000000000	122192573512709696

History

Date	User	Type	Result
2022-12-29	-Anonymous-	F-PM1	Factor: 82832860164133033565264741146994303791687 / (P-1, B1=100000000000, B2=122192573512709700)
2019-08-21	marssystems	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353/82832860164133033565264741146994303791687 : 2984404D462E3E8E PRP: Verified PRP without proof (small exponent)
2019-08-21	mnd9	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353/82832860164133033565264741146994303791687 : 2984404D462E3E8E PRP: Verified PRP without proof (small exponent)
2019-08-20	_p95holder_	F-ECM	Factor: 82832860164133033565264741146994303791687 / (ECM curve 4090, B1=3000000, B2=300000000, Sigma=3176262810979290)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353 : E4A2CBB2F76CCBE5 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353 : E4A2CBB2F76CCBE5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353 : E4A2CBB2F76CCBE5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10867/260809/1646909346343/9677523601675733749811154062353 : E4A2CBB2F76CCBE5 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 9677523601675733749811154062353
2008-08-26	-Anonymous-	F	Factor: 1646909346343