4 491 533 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
673729951	9	29.3	old
4563397529	10	32.1	2008-09-07 23:41:31
16960028609	11	34.0	2008-09-07 23:41:31
112432054057	12	36.7	2008-09-07 23:41:31
2827101331267519	16	51.3	2014-06-24 13:36:15
580903756066707373567	21	69.0	2023-07-27 19:32:04

ECM

Digits	B1	Curves
25	50000	3 / 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)	2017-11-17	kkmrkkblmbrbk	7CE87AF5B60795C4	5	3057436	5	3
Verified (Factored)	2018-02-17	Oliver Kruse	7CE87AF5B60795C4	5	1608993	5	3
Verified	2023-07-27	Naegi Makoto	7CE87AF5B60795C4	6	3911227	5	3

P-1 factors

Date	Factor	B1	B2
2023-07-27	580903756066707373567	336000	158258100

History

Date	User	Type	Result
2023-07-27	Schnell Lab	CERT	PRP Certification Proof certified good
2023-07-27	Naegi Makoto	C-PRP	M4491533/673729951/4563397529/16960028609/112432054057/2827101331267519/580903756066707373567 : 7CE87AF5B60795C4 PRP proof power = 7 PRP: Verified Proof certified good
2023-07-27	USAFSS	F-PM1	Factor: 580903756066707373567 / (P-1, B1=336000, B2=158258100)
2018-02-17	Oliver Kruse	C-PRP	M4491533/673729951/4563397529/16960028609/112432054057/2827101331267519 : 7CE87AF5B60795C4 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-17	kkmrkkblmbrbk	C-PRP	M4491533/673729951/4563397529/16960028609/112432054057/2827101331267519 : 7CE87AF5B60795C4 PRP: Verified (Factored) PRP without proof (not generated)
2014-06-24	TJAOI	F	Factor: 2827101331267519
2008-09-07	Will Edgington	F	Factor: 112432054057
2008-09-07	Will Edgington	F	Factor: 16960028609
2008-09-07	Will Edgington	F	Factor: 4563397529