10 909 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8460065944165966026431	22	72.8	old
14704545991563431938620649	26	83.6	2008-08-29 02:24:26
36399194500918895191243708135847380472791	41	134.7	2019-04-18 23:23:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2258 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 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	CCB3BA01E2AE4480	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	CCB3BA01E2AE4480	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	CCB3BA01E2AE4480	2	5892	1	3
Verified	2019-04-18	ATH	5CF0C91F157BC693	3	10704	5	3
Verified	2019-04-19	marssystems	5CF0C91F157BC693	3	5562	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-29	8460065944165966026431	100000000000	122192573512709696

History

Date	User	Type	Result
2022-12-29	-Anonymous-	F-PM1	Factor: 8460065944165966026431 / (P-1, B1=100000000000, B2=122192573512709700)
2019-04-19	marssystems	C-PRP	M10909/8460065944165966026431/14704545991563431938620649/36399194500918895191243708135847380472791 : 5CF0C91F157BC693 PRP: Verified PRP without proof (small exponent)
2019-04-18	ATH	C-PRP	M10909/8460065944165966026431/14704545991563431938620649/36399194500918895191243708135847380472791 : 5CF0C91F157BC693 PRP: Verified PRP without proof (small exponent)
2019-04-18	alex	F-ECM	Factor: 36399194500918895191243708135847380472791 / (ECM curve 2818, B1=3000000, B2=300000000, Sigma=68699221570912)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 14704545991563431938620649