3 349 033 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
122309937288468250431854153	27	86.7	2020-09-11 00:43:42
50834587081880206544288506381756183	35	115.3	2020-09-11 00:43:42

ECM

Digits	B1	Curves
25	50000	15 / 280

Estimated T-Level: 20.3 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-03-23	Dongsheng Liu	0F337E3BAC3DEBE2	0
Verified (Factored)	1999-10-15	Roger Yerdon	0F337E3BAC3DEBE2	3296233

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-09-13	fre_games	FE3BA33988607AE7	2	705525	5	3
Verified	2020-09-14	kutens	FE3BA33988607AE7	2	735557	5	3

P-1 factors

Date	Factor	B1	B2
2020-09-11	6217575158069946300914632364196267867798278947818161061977999	4000000	150000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3349033, B2=3370348800
2022-02-16	Joss	NF-PM1	B1=1000000, B2=119912100
2020-09-14	kutens	C-PRP	M3349033/122309937288468250431854153/50834587081880206544288506381756183 : FE3BA33988607AE7 PRP: Verified PRP without proof (not generated)
2020-09-13	fre_games	C-PRP	M3349033/122309937288468250431854153/50834587081880206544288506381756183 : FE3BA33988607AE7 PRP: Verified PRP without proof (not generated)
2020-09-11	mikr	F-PM1	Factor: 6217575158069946300914632364196267867798278947818161061977999 / (P-1, B1=4000000, B2=150000000, E=12)
2018-10-29	TJAOI	NF	no factor from 2^67 to 2^68
2017-03-03	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-03	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-02-11	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-11	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-12-16	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
2011-08-22	markr	NF	no factor from 2^61 to 2^62
2009-07-05	Carsten Kossendey	NF-PM1	B1=15000, B2=206250
2009-03-28	S485122	NF	no factor from 2^60 to 2^61