3 365 443 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
33654431	8	25.0	old
1696183273	10	30.7	2008-09-07 19:48:41
2503889593	10	31.2	2008-09-07 19:48:41
7444966514702863513797943369049	31	102.6	2020-09-15 20:24:00

ECM

Digits	B1	Curves
25	50000	3 / 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)	2017-11-05	Oliver Kruse	57BA1E49EB6B5E67	3	1282533	5	3
Verified (Factored)	2017-12-15	ATH	57BA1E49EB6B5E67	3	1873426	5	3
Verified	2020-09-16	mrh	57BA1E49EB6B5E67	4	1820920	5	3

P-1 factors

Date	Factor	B1	B2
2020-09-15	7444966514702863513797943369049	336544	6730886

History

Date	User	Type	Result
2022-07-24	Joss	NF-PM1	B1=3365443, B2=3407196870
2021-09-08	Joss	NF-PM1	B1=3365443, B2=134617720, E=12
2021-09-07	Joss	NF-PM1	B1=3365443, B2=104328733, E=12
2021-09-07	Joss	NF-PM1	B1=3365443, B2=70674303, E=12
2021-09-06	Joss	NF-PM1	B1=3365443, B2=37019873, E=12
2021-09-04	Joss	NF-PM1	B1=3365443
2021-08-27	Joss	NF	no factor from 2^68 to 2^69
2021-02-01	Joss	NF	no factor from 2^67 to 2^68
2021-01-31	Joss	NF	no factor from 2^66 to 2^67
2021-01-30	Joss	NF	no factor from 2^65 to 2^66
2020-09-16	James Heinrich	CERT	PRP Certification Proof certified good
2020-09-16	mrh	C-PRP	M3365443/33654431/1696183273/2503889593/7444966514702863513797943369049 : 57BA1E49EB6B5E67 PRP proof power = 7 PRP: Verified Proof certified good
2020-09-15	Joss	F-PM1	Factor: 7444966514702863513797943369049 / (P-1, B1=336544, B2=6730886, E=6)
2020-05-04	Joss	NF-PM1	B1=336544, B2=3365443, E=6
2017-12-15	ATH	C-PRP	M3365443/33654431/1696183273/2503889593 : 57BA1E49EB6B5E67 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	Oliver Kruse	C-PRP	M3365443/33654431/1696183273/2503889593 : 57BA1E49EB6B5E67 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 2503889593
2008-09-07	Will Edgington	F	Factor: 1696183273