4 597 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
27583	5	14.8	old
73553	5	16.2	old
93769607	8	26.5	old
116579921	9	26.8	old
14631164828130204368519	23	73.6	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	16550 / 16550
55	110000000	14572 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	23A04D67B7A52BB5	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	23A04D67B7A52BB5	5	0	1	3
Verified	2017-12-07	ATH	23A04D67B7A52BB5	5	78	1	3
Verified	2020-04-17	Oliver Kruse	6C1BA43C92D840A0	5	3615	5	3
Verified	2024-02-03	Wentao Huang	6C1BA43C92D840A0	5	3223	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 6C1BA43C92D840A0 PRP: Verified PRP without proof (small exponent)
2023-05-25	-Anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 6C1BA43C92D840A0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 23A04D67B7A52BB5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 23A04D67B7A52BB5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4597/known_factors : 23A04D67B7A52BB5 PRP without proof (not generated)