729 601 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
7893906117523264607	19	62.8	2009-11-13 19:25:03

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 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)		Eric Hamilton	792703C1296636FF	0
Verified (Factored)		Horng-Ming Chen	792703C1296636FF	0
Verified (Factored)	2003-03-07	Nicholas Glover	792703C1296636FF	463985

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-27	Oliver Kruse	49EDADC81B6F284E	1	0	1	3
Verified	2017-09-28	Oliver Kruse	49EDADC81B6F284E	1	0	1	3
Verified	2017-11-09	kkmrkkblmbrbk	49EDADC81B6F284E	1	245859	1	3
Unverified (Reliable)	2020-04-20	Oliver Kruse	62DFD6E845FDBB__	1	546515	5	3

History

Date	User	Type	Result
2023-01-07	USAFSS	NF-PM1	B1=1500000, B2=3613488450
2020-04-20	Oliver Kruse	C-PRP	M729601/7893906117523264607 : 62DFD6E845FDBB__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M729601/7893906117523264607 : 49EDADC81B6F284E PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M729601/7893906117523264607 : 49EDADC81B6F284E PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M729601/7893906117523264607 : 49EDADC81B6F284E PRP: Unverified (Reliable) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2009-11-13	SubPrime	F-ECM	Factor: 7893906117523264607
2008-10-13	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-13	Sturle Sunde	NF	no factor from 2^58 to 2^59