3 347 887 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
10969926027375444359	20	63.3	2014-09-07 11:27:22
20949670663636468729	20	64.2	2017-08-08 11:29:01

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Lambert	9190F9C782964B97	0
Verified (Factored)	1999-07-04	Yrjö Fager	9190F9C782964B97	1930661

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	alpertron	3F1C66E3AC75CC3F	2	0	1	3
Verified	2017-11-20	Oliver Kruse	3F1C66E3AC75CC3F	2	904456	1	3

History

Date	User	Type	Result
2022-09-02	Joss	NF-PM1	B1=1469576, B2=218479800
2022-04-22	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-22	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-22	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-22	LordJulius	NF	no factor from 2^1 to 2^62
2022-01-06	Joss	NF-PM1	B1=1469576, B2=111642300
2021-10-20	Joss	NF	no factor from 2^67 to 2^68
2021-03-10	Joss	NF-PM1	B1=334788, B2=7030562, E=6
2021-03-10	Joss	NF-PM1	B1=334788, B2=3682675, E=6
2017-11-20	Oliver Kruse	C-PRP	M3347887/10969926027375444359/20949670663636468729 : 3F1C66E3AC75CC3F PRP: Verified PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M3347887/10969926027375444359/20949670663636468729 : 3F1C66E3AC75CC3F PRP: Verified PRP without proof (not generated)
2017-08-08	TJAOI	F	Factor: 20949670663636468729 / TF: 64-65
2014-09-07	swildner	F-ECM	Factor: 10969926027375444359 / (ECM curve 3, B1=50000, B2=5000000)
2012-12-15	Squeeky_Squirrel	NF-PM1	B1=230000, B2=6670000, E=12
2012-11-15	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-10-10	USAFSS	NF-PM1	B1=55000, B2=907500, E=6
2011-08-23	markr	NF	no factor from 2^61 to 2^62
2009-07-05	Carsten Kossendey	NF-PM1	B1=15000, B2=206250
2009-03-27	S485122	NF	no factor from 2^60 to 2^61