1 849 843 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
474274367577551287	18	58.7	old
673906381801109443654877201	27	89.1	2021-03-28 10:50:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Clark	BB4545B52DE25083	0
Verified (Factored)	1998-12-13	Jim Simpson	BB4545B52DE25083	1338642

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	36BB8468FB00C844	1	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	36BB8468FB00C844	1	1779598	1	3
Verified	2021-03-29	mrh	AC7076C148BB8C5F	2	37065	5	3

History

Date	User	Type	Result
2022-08-28	USAFSS	NF-PM1	B1=400000, B2=431631816
2022-04-12	Lisander Viaene	NF-PM1	B1=500100
2021-03-29	curtisc	CERT	PRP Certification Proof certified good
2021-03-29	mrh	C-PRP	M1849843/474274367577551287/673906381801109443654877201 : AC7076C148BB8C5F PRP proof power = 7 PRP: Verified Proof certified good
2021-03-28	_p95holder_	F-ECM	Factor: 673906381801109443654877201 / (ECM curve 4, B1=50000, B2=5000000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M1849843/474274367577551287 : 36BB8468FB00C844 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1849843/474274367577551287 : 36BB8468FB00C844 PRP: Verified (Factored) PRP without proof (not generated)