856 469 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
8349155856981602121143	22	72.8	2019-02-20 14:59:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	316E	0
Verified (Factored)		Horng-Ming Chen	6AD5F31422BCB16E	0
Verified (Factored)	2001-08-31	Brian J. Beesley	6AD5F31422BCB16E	241603
Verified (Factored)	2015-04-11	MadPoo	6AD5F31422BCB16E	617454

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-02-20	ATH	D7476A28901F0CDB	1	458523	5	3
Verified	2019-02-20	kkmrkkblmbrbk	D7476A28901F0CDB	1	185319	5	3
Verified	2019-02-22	alex	D7476A28901F0CDB	1	123520	5	3

History

Date	User	Type	Result
2019-02-22	alex	C-PRP	M856469/8349155856981602121143 : D7476A28901F0CDB PRP: Verified PRP without proof (small exponent)
2019-02-20	kkmrkkblmbrbk	C-PRP	M856469/8349155856981602121143 : D7476A28901F0CDB PRP: Verified PRP without proof (small exponent)
2019-02-20	ATH	C-PRP	M856469/8349155856981602121143 : D7476A28901F0CDB PRP: Verified PRP without proof (small exponent)
2019-02-20	alex	F-ECM	Factor: 8349155856981602121143 / (ECM curve 1, B1=250000, B2=25000000)
2018-04-09	Smok_bmv	NF	no factor from 2^67 to 2^68
2018-04-09	Smok_bmv	NF	no factor from 2^66 to 2^67
2018-04-09	Smok_bmv	NF	no factor from 2^65 to 2^66
2016-02-02	lycorn	NF	no factor from 2^64 to 2^65
2015-12-03	Sid & Andy	NF-PM1	B1=8564690, B2=256940700, E=12
2015-10-06	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-06	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	6AD5F31422BCB16E
2015-02-13	TJAOI	NF	no factor from 2^61 to 2^62
2010-05-31	Architects Cubed	NF	no factor from 2^60 to 2^61
2010-01-11	BigBrother	NF-PM1	B1=2000000, B2=40000000, E=12
2009-08-30	Carsten Kossendey	NF-PM1	B1=856469
2008-10-13	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-13	Sturle Sunde	NF	no factor from 2^58 to 2^59