3 316 559 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
6633119	7	22.7	old
29271196847513229121	20	64.7	2017-12-12 12:35:33
3036018830295385256593	22	71.4	2018-09-29 20:00:32

ECM

Digits	B1	Curves
25	50000	4 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-04	Oliver Kruse	45EED3B885156E69	1	501442	5	3
Verified (Factored)	2017-12-12	kkmrkkblmbrbk	45EED3B885156E69	2	2428166	5	3
Verified (Factored)	2018-01-07	ATH	45EED3B885156E69	2	2735741	5	3
Verified	2018-09-29	rucio	45EED3B885156E69	3	2317120	5	3

History

Date	User	Type	Result
2022-10-06	Joss	NF-PM1	B1=3316559, B2=445853100
2022-04-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-20	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-20	LordJulius	NF	no factor from 2^62 to 2^63
2022-01-19	Joss	NF-PM1	B1=3316559, B2=339025050
2021-12-20	Joss	NF-PM1	B1=3316559, B2=116701200
2021-07-31	Joss	NF	no factor from 2^67 to 2^68
2021-07-31	Joss	NF-PM1	B1=3316559
2021-01-20	Joss	NF-PM1	B1=331655, B2=3316559, E=6
2018-09-29	rucio	C-PRP	M3316559/6633119/29271196847513229121/3036018830295385256593 : 45EED3B885156E69 PRP: Verified PRP without proof (not generated)
2018-09-29	ATH	F-ECM	Factor: 3036018830295385256593 / (ECM curve 1, B1=50000, B2=5000000)
2018-01-07	ATH	C-PRP	M3316559/6633119/29271196847513229121 : 45EED3B885156E69 PRP: Verified PRP without proof (not generated)
2017-12-12	kkmrkkblmbrbk	C-PRP	M3316559/6633119/29271196847513229121 : 45EED3B885156E69 PRP: Verified PRP without proof (not generated)
2017-12-12	TJAOI	F	Factor: 29271196847513229121 / TF: 64-65
2017-11-04	Oliver Kruse	C-PRP	M3316559/6633119 : 45EED3B885156E69 PRP: Verified PRP without proof (not generated)