721 243 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
24522263	8	24.5	old
155788489	9	27.2	2008-07-16 09:25:08
188359985130283706651911	24	77.3	2014-10-06 18:22:41
1100025928796627304985129	25	79.9	2016-06-23 23:48:27

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	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	165A135CAC49D42D	4	0	1	3
Verified	2017-10-13	Oliver Kruse	165A135CAC49D42D	4	253116	1	3
Verified	2017-12-16	ATH	165A135CAC49D42D	4	497835	1	3
Unverified (Reliable)	2020-04-20	Oliver Kruse	EFD94080934E71__	4	300662	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-06	188359985130283706651911	500000	15000000

History

Date	User	Type	Result
2023-01-02	USAFSS	NF-PM1	B1=1650000, B2=3618231540
2020-04-20	Oliver Kruse	C-PRP	M721243/24522263/155788489/188359985130283706651911/1100025928796627304985129 : EFD94080934E71__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-16	ATH	C-PRP	M721243/24522263/155788489/188359985130283706651911/1100025928796627304985129 : 165A135CAC49D42D PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M721243/24522263/155788489/188359985130283706651911/1100025928796627304985129 : 165A135CAC49D42D PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M721243/24522263/155788489/188359985130283706651911/1100025928796627304985129 : 165A135CAC49D42D PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M721243/24522263/155788489/188359985130283706651911/1100025928796627304985129 : 165A135CAC49D42D PRP without proof (not generated)
2016-06-23	TJAOI	F-ECM	Factor: 1100025928796627304985129 / (ECM curve 57, B1=50000, B2=5000000)
2014-10-06	alpertron	F-PM1	Factor: 188359985130283706651911 / (P-1, B1=500000, B2=15000000, E=12)
2008-07-16	J Feitsma	F	Factor: 155788489