3 074 299 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
40832839319	11	35.2	old
57110795066700088799	20	65.6	2019-02-19 11:24:57
1425468234361086743512119481	28	90.2	2021-03-04 23:53:16

ECM

Digits	B1	Curves
25	50000	61 / 280

Estimated T-Level: 21.1 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-29	Oliver Kruse	7EF4A89A38321B98	1	381115	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	7EF4A89A38321B98	1	1272640	5	3
Verified (Factored)	2019-02-20	artorollo	7EF4A89A38321B98	2	738186	5	3
Verified (Factored)	2019-02-20	alex	7EF4A89A38321B98	2	1278079	5	3
Verified	2021-03-05	riccardo uberti	7EF4A89A38321B98	3	1034129	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-04	1425468234361086743512119481	307429	3381728

History

Date	User	Type	Result
2022-10-06	Joss	NF-PM1	B1=3074299, B2=433737150
2022-03-14	LordJulius	NF	no factor from 2^66 to 2^67
2022-01-11	Joss	NF	no factor from 2^68 to 2^69
2021-12-19	Joss	NF-PM1	B1=3074299, B2=326903850
2021-06-20	Joss	NF-PM1	B1=3074299
2021-04-10	Joss	NF	no factor from 2^67 to 2^68
2021-03-06	riccardo uberti	NF-PM1	B1=5000000, B2=80000000, E=12
2021-03-05	Joss	NF-PM1	B1=307429, B2=9530326, E=6
2021-03-05	Joss	NF-PM1	B1=307429, B2=6456027, E=6
2021-03-05	curtisc	CERT	PRP Certification Proof certified good
2021-03-05	riccardo uberti	C-PRP	M3074299/40832839319/57110795066700088799/1425468234361086743512119481 : 7EF4A89A38321B98 PRP proof power = 7 PRP: Verified Proof certified good
2021-03-04	Joss	F-PM1	Factor: 1425468234361086743512119481 / (P-1, B1=307429, B2=3381728, E=6)
2019-02-20	alex	C-PRP	M3074299/40832839319/57110795066700088799 : 7EF4A89A38321B98 PRP: Verified (Factored) PRP without proof (not generated)
2019-02-20	artorollo	C-PRP	M3074299/40832839319/57110795066700088799 : 7EF4A89A38321B98 PRP: Verified (Factored) PRP without proof (not generated)
2019-02-19	TJAOI	F	Factor: 57110795066700088799 / TF: 65-66
2017-12-11	kkmrkkblmbrbk	C-PRP	M3074299/40832839319 : 7EF4A89A38321B98 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-29	Oliver Kruse	C-PRP	M3074299/40832839319 : 7EF4A89A38321B98 PRP: Verified (Factored) PRP without proof (not generated)