5 563 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
534049	6	19.0	old
623057	6	19.2	old
136292564169889	15	47.0	old
7327182584114527975308718994273	31	102.5	old
16312873387504276439869149299843221361	38	123.6	old
30114825434345856020882301960335490814721	41	134.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	4764 / 16550

Estimated T-Level: 46.4 ⓘ

TF below 2^149 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	1FFB605673355124	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	1FFB605673355124	6	0	1	3
Verified	2017-12-07	ATH	1FFB605673355124	6	3153	1	3
Verified	2020-04-17	Oliver Kruse	133146DBB933CFF3	6	5154	5	3
Verified	2024-02-03	Wentao Huang	133146DBB933CFF3	6	1189	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5563/534049/623057/136292564169889/7327182584114527975308718994273/16312873387504276439869149299843221361/30114825434345856020882301960335490814721 : 133146DBB933CFF3 PRP: Verified PRP without proof (small exponent)
2023-07-13	-Anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2022-01-24	Ethan O'Connor	NF-PM1	B1=520000000, B2=513010076208630
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M5563/534049/623057/136292564169889/7327182584114527975308718994273/16312873387504276439869149299843221361/30114825434345856020882301960335490814721 : 133146DBB933CFF3 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5563/534049/623057/136292564169889/7327182584114527975308718994273/16312873387504276439869149299843221361/30114825434345856020882301960335490814721 : 1FFB605673355124 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5563/534049/623057/136292564169889/7327182584114527975308718994273/16312873387504276439869149299843221361/30114825434345856020882301960335490814721 : 1FFB605673355124 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5563/known_factors : 1FFB605673355124 PRP without proof (not generated)