534 923 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
360538103	9	28.4	old
75518688565818607	17	56.1	2015-03-05 12:41:20
550097583190851024327654398832916947049	39	128.7	2022-12-19 18:06:17

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	210 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	4591CD73B8CFB78F	2	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	4591CD73B8CFB78F	2	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	4591CD73B8CFB78F	2	247133	1	3
Verified (Factored)	2020-04-19	Oliver Kruse	A810B1AE2F3559F6	2	41907	5	3
Verified	2022-12-19	LordJulius	A810B1AE2F3559F6	3	32672	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-19	550097583190851024327654398832916947049	2000000	6733146420

History

Date	User	Type	Result
2022-12-23	LordJulius	NF	no factor from 2^66 to 2^67
2022-12-23	LordJulius	NF	no factor from 2^65 to 2^66
2022-12-23	LordJulius	NF	no factor from 2^64 to 2^65
2022-12-23	LordJulius	NF	no factor from 2^63 to 2^64
2022-12-23	LordJulius	NF	no factor from 2^62 to 2^63
2022-12-23	LordJulius	NF	no factor from 2^61 to 2^62
2022-12-23	LordJulius	NF	no factor from 2^60 to 2^61
2022-12-20	MatiasCardullo	CERT	PRP Certification Proof certified good
2022-12-19	LordJulius	C-PRP	M534923/360538103/75518688565818607/550097583190851024327654398832916947049 : A810B1AE2F3559F6 PRP proof power = 6 PRP: Verified Proof certified good
2022-12-19	USAFSS	F-PM1	Factor: 550097583190851024327654398832916947049 / (P-1, B1=2000000, B2=6733146420)
2020-04-19	Oliver Kruse	C-PRP	M534923/360538103/75518688565818607 : A810B1AE2F3559F6 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-07	kkmrkkblmbrbk	C-PRP	M534923/360538103/75518688565818607 : 4591CD73B8CFB78F PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M534923/360538103/75518688565818607 : 4591CD73B8CFB78F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M534923/360538103/75518688565818607 : 4591CD73B8CFB78F PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12
2015-03-05	TJAOI	F	Factor: 75518688565818607 / TF: 56-57