5 743 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
643217	6	19.3	old
13432968889	11	33.6	old
222450873235993	15	47.7	old
28324876016639159	17	54.7	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	2378 / 16550

Estimated T-Level: 45.7 ⓘ

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	171B76BB4F5AED34	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	171B76BB4F5AED34	4	0	1	3
Verified	2017-12-07	ATH	171B76BB4F5AED34	4	4095	1	3
Verified	2020-04-17	Oliver Kruse	F8D1C458D823E09C	4	4144	5	3
Verified	2024-02-03	Wentao Huang	F8D1C458D823E09C	4	5614	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5743/643217/13432968889/222450873235993/28324876016639159 : F8D1C458D823E09C PRP: Verified PRP without proof (small exponent)
2023-07-19	-Anonymous-	NF-PM1	B1=43000000000, B2=180124832351714250
2021-08-31	H Michaelson	NF-PM1	B1=1000000000, B2=100000000000
2020-04-17	Oliver Kruse	C-PRP	M5743/643217/13432968889/222450873235993/28324876016639159 : F8D1C458D823E09C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5743/643217/13432968889/222450873235993/28324876016639159 : 171B76BB4F5AED34 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5743/643217/13432968889/222450873235993/28324876016639159 : 171B76BB4F5AED34 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5743/known_factors : 171B76BB4F5AED34 PRP without proof (not generated)