4 309 451 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
206853649	9	27.6	old
18840881332352116553	20	64.0	2017-06-29 13:18:16
302150021771865546817641247	27	88.0	2022-10-18 22:31:34

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)	2017-09-28	alpertron	C44D4C3E8EFBA55E	2	0	1	3
Verified (Factored)	2017-12-30	kkmrkkblmbrbk	C44D4C3E8EFBA55E	2	2619184	1	3
Verified	2022-10-24	Funky Waddle	1D9050E0D0C01144	3	3181044	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-18	302150021771865546817641247	220000	145842840

History

Date	User	Type	Result
2022-10-24	curtisc	CERT	PRP Certification Proof certified good
2022-10-24	Funky Waddle	C-PRP	M4309451/206853649/18840881332352116553/302150021771865546817641247 : 1D9050E0D0C01144 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-18	USAFSS	F-PM1	Factor: 302150021771865546817641247 / (P-1, B1=220000, B2=145842840)
2017-12-30	kkmrkkblmbrbk	C-PRP	M4309451/206853649/18840881332352116553 : C44D4C3E8EFBA55E PRP: Verified (Factored) PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M4309451/18840881332352116553/206853649 : C44D4C3E8EFBA55E PRP: Verified (Factored) PRP without proof (not generated)
2017-06-29	TJAOI	F	Factor: 18840881332352116553 / TF: 64-65