39 409 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
811625603090654894157972094386309926337383	42	139.2	2016-12-17 08:15:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	877 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	5434	0
Verified (Factored)		George Woltman	E4284468772CD434	0
Verified (Factored)		Brian J. Beesley	E4284468772CD434	0
Verified (Factored)	2015-04-11	MadPoo	E4284468772CD434	4524

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	21267E5863255C89	1	0	1	3
Verified	2017-09-21	Oliver Kruse	21267E5863255C89	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	21267E5863255C89	1	20921	1	3
Unverified	2020-04-17	Oliver Kruse	F49CC33567F8AA__	1	36719	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-17	811625603090654894157972094386309926337383	1000000000	76326095473590

History

Date	User	Type	Result
2021-05-07	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M39409/811625603090654894157972094386309926337383 : F49CC33567F8AA__ PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M39409/811625603090654894157972094386309926337383 : 21267E5863255C89 PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M39409/811625603090654894157972094386309926337383 : 21267E5863255C89 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M39409/811625603090654894157972094386309926337383 : 21267E5863255C89 PRP without proof (not generated)
2016-12-17	kkmrkkblmbrbk	F-PM1	Factor: 811625603090654894157972094386309926337383 / (P-1, B1=1000000000, B2=76326095473590)
2016-10-26	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-04-29	Joss	NF-PM1	B1=193273527, B2=3478923486, E=12
2016-04-25	Joss	NF-PM1	B1=134217728, B2=2415919104, E=12
2016-04-18	Joss	NF-PM1	B1=67108864, B2=2993780024, E=12
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-04-11	MadPoo	C-LL	E4284468772CD434
2012-08-25	bcp19	NF	no factor from 2^61 to 2^62
2012-08-25	bcp19	NF	no factor from 2^60 to 2^61
2012-07-10	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-05-15	Joss	NF-PM1	B1=65993663
2009-02-15	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-11	Sturle Sunde	NF	no factor from 2^58 to 2^59