3 243 239 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
6486479	7	22.6	old
90222245202319	14	46.4	2014-02-11 11:44:08
2121861812068965607	19	60.9	2016-03-14 12:05:32
119728089116442426791	21	66.7	2020-07-30 10:22:48

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)	2017-11-02	Oliver Kruse	E76C09C6A30CE6EA	3	2951021	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	E76C09C6A30CE6EA	3	2973624	5	3
Verified	2020-07-30	ATH	E76C09C6A30CE6EA	4	2594887	5	3

History

Date	User	Type	Result
2022-07-26	Joss	NF-PM1	B1=3243239, B2=3280440240
2022-04-05	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-05	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-05	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-21	Joss	NF-PM1	B1=3243239, B2=1019987430
2021-09-16	Joss	NF-PM1	B1=3243239, B2=12972956, E=12
2021-09-12	Joss	NF-PM1	B1=3243239
2021-08-31	Joss	NF	no factor from 2^68 to 2^69
2021-02-03	Joss	NF	no factor from 2^67 to 2^68
2021-02-01	Joss	NF	no factor from 2^65 to 2^66
2020-08-01	Kriesel	CERT	PRP Certification Proof certified good
2020-07-30	ATH	C-PRP	M3243239/6486479/90222245202319/2121861812068965607/119728089116442426791 : E76C09C6A30CE6EA PRP proof power = 8 PRP: Verified Proof certified good
2020-07-30	TJAOI	F	Factor: 119728089116442426791 / TF: 66-67
2020-05-04	Joss	NF-PM1	B1=324323, B2=3243239, E=6
2017-12-13	kkmrkkblmbrbk	C-PRP	M3243239/6486479/90222245202319/2121861812068965607 : E76C09C6A30CE6EA PRP: Verified (Factored) PRP without proof (not generated)
2017-11-02	Oliver Kruse	C-PRP	M3243239/6486479/90222245202319/2121861812068965607 : E76C09C6A30CE6EA PRP: Verified (Factored) PRP without proof (not generated)
2016-03-14	TJAOI	F	Factor: 2121861812068965607 / TF: 60-61
2014-02-11	TJAOI	F	Factor: 90222245202319