5 749 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

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	2697 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	4CDA7E45C47FE8A2	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4CDA7E45C47FE8A2	2	0	1	3
Verified	2017-12-07	ATH	4CDA7E45C47FE8A2	2	155	1	3
Verified	2020-04-17	Oliver Kruse	3998B0B1EBA780CB	2	2851	5	3
Verified	2024-02-03	Wentao Huang	3998B0B1EBA780CB	2	3709	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 3998B0B1EBA780CB PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 4CDA7E45C47FE8A2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5749/4088779944647/281187405853771897534805048884318063423 : 4CDA7E45C47FE8A2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5749/known_factors : 4CDA7E45C47FE8A2 PRP without proof (not generated)