5 749 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
4088779944647	13	41.9	old
281187405853771897534805048884318063423	39	127.7	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	4933 / 16550

Estimated T-Level: 46.5 ⓘ

TF below 2^149 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	4CDA7E45C47FE8A2	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4CDA7E45C47FE8A2	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4CDA7E45C47FE8A2	2	155	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3998B0B1EBA780CB	2	2851	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3998B0B1EBA780CB	2	3709	5	3

History

Date	User	Type	Result
2025-05-25	masser	NF-PP1	Start=124/13, B1=2100000000, B2=2097900000000
2025-03-19	mikr	NF-PM1	B1=500000000000, B2=1735545234797984610
2024-02-03	Wentao Huang	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 3998B0B1EBA780CB
2023-07-19	-anonymous-	NF-PM1	B1=43000000000, B2=180124832351714250
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006397938886340
2020-04-17	Oliver Kruse	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 3998B0B1EBA780CB
2017-12-07	ATH	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 4CDA7E45C47FE8A2
2017-10-02	kkmrkkblmbrbk	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 4CDA7E45C47FE8A2
2017-09-21	Oliver Kruse	C-PRP	M5749/known_factors : 4CDA7E45C47FE8A2