3 212 959 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
59734938437654231	17	55.7	old
2869458375899178377	19	61.3	2016-04-19 11:09:28
53529693676724275303	20	65.5	2018-09-07 15:07:48

ECM

Digits	B1	Curves
25	50000	105 / 280

Estimated T-Level: 21.9 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-01	Oliver Kruse	5F54E5ACD88F0FA0	2	2796329	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	5F54E5ACD88F0FA0	2	1016992	5	3
Verified	2018-09-11	Oliver Kruse	5F54E5ACD88F0FA0	3	2914424	5	3

History

Date	User	Type	Result
2022-10-07	Joss	NF-PM1	B1=1200000, B2=451528350
2022-09-03	Joss	NF-PM1	B1=1200000, B2=236513550
2022-04-03	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-03	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-03	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-03	LordJulius	NF	no factor from 2^62 to 2^63
2022-01-07	Joss	NF-PM1	B1=1050000, B2=116447100
2021-07-22	Joss	NF	no factor from 2^67 to 2^68
2020-12-28	Joss	NF-PM1	B1=321295, B2=3212959, E=6
2018-09-11	Oliver Kruse	C-PRP	M3212959/59734938437654231/2869458375899178377/53529693676724275303 : 5F54E5ACD88F0FA0 PRP: Verified PRP without proof (not generated)
2018-09-07	Oliver Kruse	F-ECM	Factor: 53529693676724275303 / (ECM curve 2, B1=50000, B2=5000000)
2017-12-13	kkmrkkblmbrbk	C-PRP	M3212959/59734938437654231/2869458375899178377 : 5F54E5ACD88F0FA0 PRP: Verified PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3212959/59734938437654231/2869458375899178377 : 5F54E5ACD88F0FA0 PRP: Verified PRP without proof (not generated)
2016-04-19	TJAOI	F	Factor: 2869458375899178377 / TF: 61-62