5 557 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
33343	5	15.0	old
588367044117919151	18	59.0	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	11422 / 16550

Estimated T-Level: 48.5 ⓘ

TF below 2^156 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	DFF1028DB0506824	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DFF1028DB0506824	2	1730	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6CF0BF168525712F	2	2978	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6CF0BF168525712F	2	657	5	3

History

Date	User	Type	Result
2025-05-13	masser	NF-PP1	Start=168/71, B1=2100000000, B2=2097900000000
2024-08-11	mikr	NF-PM1	B1=500000000000, B2=1235457560824266780
2024-02-03	Wentao Huang	C-PRP	M5557/33343/588367044117919151 : 6CF0BF168525712F
2023-07-13	-anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5557/33343/588367044117919151 : 6CF0BF168525712F
2017-10-12	kkmrkkblmbrbk	C-PRP	M5557/33343/588367044117919151 : DFF1028DB0506824
2017-09-21	Oliver Kruse	C-PRP	M5557/33343/588367044117919151 : DFF1028DB0506824
2017-09-21	Oliver Kruse	C-PRP	M5557/33343/588367044117919151 : DFF1028DB0506824