553 363 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
23491802846165153503	20	64.3	2009-10-30 10:50:23
243576699733039119911	21	67.7	2016-03-18 10:46:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	2500	0
Verified (Factored)		Charles F. Kerchner III	FE9C4E10382D6500	0
Verified (Factored)	2002-05-11	Dennis Pope	FE9C4E10382D6500	119726

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	97DBF828EFF3CF91	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	97DBF828EFF3CF91	2	302833	1	3
Unverified (Reliable)	2020-04-19	Oliver Kruse	494A3EE3DE18EB__	2	122942	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-08-27	ViliamF	NF-PM1	B1=15000000, B2=1815000000
2020-04-19	Oliver Kruse	C-PRP	M553363/23491802846165153503/243576699733039119911 : 494A3EE3DE18EB__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M553363/23491802846165153503/243576699733039119911 : 97DBF828EFF3CF91 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M553363/23491802846165153503/243576699733039119911 : 97DBF828EFF3CF91 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M553363/23491802846165153503/243576699733039119911 : 97DBF828EFF3CF91 PRP without proof (not generated)
2016-03-18	TJAOI	F-ECM	Factor: 243576699733039119911 / (ECM curve 58, B1=50000, B2=5000000)
2016-03-17	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12
2009-10-30	JimBa	F-ECM	Factor: 23491802846165153503