423 667 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
117502583912587045557445783	27	86.6	2019-05-05 07:41:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad		Alex and Nick Myrman	136C	0
Verified (Factored)		Jean-Charles Meyrignac	885546577A03136B	0
Verified (Factored)		Cornelius Caesar	885546577A03136B	0
Verified (Factored)		Eivind Triel	885546577A03136B	251362
Verified (Factored)	2016-06-01	MadPoo	885546577A03136B	286486

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-05	Niels_Mache_Nextcloud	C1C26F7A9CD8414A	1	349904	5	3
Verified	2019-05-05	ATH	C1C26F7A9CD8414A	1	291752	5	3

History

Date	User	Type	Result
2019-05-05	ATH	C-PRP	M423667/117502583912587045557445783 : C1C26F7A9CD8414A PRP: Verified PRP without proof (small exponent)
2019-05-05	Niels_Mache_Nextcloud	C-PRP	M423667/117502583912587045557445783 : C1C26F7A9CD8414A PRP: Verified PRP without proof (small exponent)
2019-05-05	alex	F-ECM	Factor: 117502583912587045557445783 / (ECM curve 33, B1=250000, B2=25000000, Sigma=1576931768838006)
2018-12-07	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-01-07	BloodERazor	NF	no factor from 2^64 to 2^65
2016-06-01	MadPoo	C-LL	885546577A03136B
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-14	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-14	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-15	NR	NF	no factor from 2^61 to 2^62
2012-08-23	markr	NF-PM1	B1=10000000, B2=400000000, E=12
2012-04-20	Sid & Andy	NF	no factor from 2^60 to 2^61
2012-03-10	Joss	NF-PM1	B1=1264561
2011-08-06	Joss	NF-PM1	B1=1011648
2010-07-26	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-07-25	Rob_Dee	NF-PM1	B1=500000, B2=1000000