4 003 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
16756559	8	24.0	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	19129 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	5174403B43465CE1	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	5174403B43465CE1	1	2385	1	3
Verified	2020-04-17	Oliver Kruse	CDAF6C80D46D8DFC	1	1821	5	3
Verified	2024-02-03	Wentao Huang	CDAF6C80D46D8DFC	1	216	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4003/16756559 : CDAF6C80D46D8DFC PRP: Verified PRP without proof (small exponent)
2023-04-04	mikr	NF-PM1	B1=500000000000, B2=2644722368893605000
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M4003/16756559 : CDAF6C80D46D8DFC PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4003/16756559 : 5174403B43465CE1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4003/16756559 : 5174403B43465CE1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4003/16756559 : 5174403B43465CE1 PRP without proof (not generated)