4 215 829 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
4417048452413791	16	52.0	old
5731141238627711	16	52.3	2008-09-07 23:39:16
1164139615231487351	19	60.0	2016-01-04 12:46:41
5130643004781463753	19	62.2	2016-07-05 10:12:27
209572520473408579801	21	67.5	2022-09-22 09:50:36

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	5F9546BC6DD3E8DD	4	0	1	3
Verified (Factored)	2018-01-21	Oliver Kruse	5F9546BC6DD3E8DD	4	656891	1	3
Verified	2022-09-28	LordJulius	0EA586F76B8D8074	5	1794769	5	3

History

Date	User	Type	Result
2022-10-03	USAFSS	NF-PM1	B1=200000, B2=135233670
2022-09-28	ANONYMOUS	CERT	PRP Certification Proof certified good
2022-09-28	LordJulius	C-PRP	M4215829/4417048452413791/5731141238627711/1164139615231487351/5130643004781463753/209572520473408579801 : 0EA586F76B8D8074 PRP proof power = 7 PRP: Verified Proof certified good
2022-09-25	Jayder	NF	no factor from 2^66 to 2^67
2022-09-25	Jayder	NF	no factor from 2^65 to 2^66
2022-09-25	Jayder	NF	no factor from 2^64 to 2^65
2022-09-25	Jayder	NF	no factor from 2^63 to 2^64
2022-09-25	LordJulius	NF	no factor from 2^66 to 2^67
2022-09-25	LordJulius	NF	no factor from 2^65 to 2^66
2022-09-25	LordJulius	NF	no factor from 2^64 to 2^65
2022-09-25	LordJulius	NF	no factor from 2^63 to 2^64
2022-09-22	TJAOI	F	Factor: 209572520473408579801 / TF: 67-68
2022-06-21	LordJulius	NF	no factor from 2^61 to 2^62
2018-01-21	Oliver Kruse	C-PRP	M4215829/4417048452413791/5731141238627711/1164139615231487351/5130643004781463753 : 5F9546BC6DD3E8DD PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4215829/1164139615231487351/4417048452413791/5130643004781463753/5731141238627711 : 5F9546BC6DD3E8DD PRP: Verified (Factored) PRP without proof (not generated)
2016-07-05	TJAOI	F	Factor: 5130643004781463753 / TF: 62-63
2016-01-04	TJAOI	F	Factor: 1164139615231487351 / TF: 60-61
2008-09-07	Will Edgington	F	Factor: 5731141238627711