4 209 221 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
2155121153	10	31.0	old
9810288237512233	16	53.1	2014-09-05 11:11:09
185592431410531787953	21	67.3	2018-12-17 01:31:28

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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)	2017-09-20	kkmrkkblmbrbk	FCD32E3B438D370C	2	0	1	3
Verified (Factored)	2018-01-19	Oliver Kruse	FCD32E3B438D370C	2	3927080	1	3
Verified	2018-12-17	ATH	6F82FCFB51C1D86A	3	2320382	5	3
Verified	2018-12-17	J.R. Allen	6F82FCFB51C1D86A	3	4014485	5	3

History

Date	User	Type	Result
2022-09-30	USAFSS	NF-PM1	B1=200000, B2=135233670
2018-12-17	J.R. Allen	C-PRP	M4209221/2155121153/9810288237512233/185592431410531787953 : 6F82FCFB51C1D86A PRP: Verified PRP without proof (not generated)
2018-12-17	ATH	C-PRP	M4209221/2155121153/9810288237512233/185592431410531787953 : 6F82FCFB51C1D86A PRP: Verified PRP without proof (not generated)
2018-12-17	MarkS	F-ECM	Factor: 185592431410531787953 / (ECM curve 2, B1=50000, B2=5000000)
2018-01-19	Oliver Kruse	C-PRP	M4209221/2155121153/9810288237512233 : FCD32E3B438D370C PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4209221/2155121153/9810288237512233 : FCD32E3B438D370C PRP: Verified PRP without proof (not generated)
2014-09-05	TJAOI	F	Factor: 9810288237512233