5 647 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
29344601623139452340102540734183	32	104.5	old
14993693964816450781103439481795577	35	113.5	2016-10-19 00:04:17
640468202794318024410534088038327061238567359	45	148.8	2016-10-21 12:23:02

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	5671 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	F88666A38D4562FF	3	0	1	3
Verified	2017-09-26	George Woltman	F88666A38D4562FF	3	577	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F88666A38D4562FF	3	0	1	3
Verified	2020-04-17	Oliver Kruse	15251BF74A385608	3	612	5	3
Verified	2024-02-03	Wentao Huang	15251BF74A385608	3	1500	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : 15251BF74A385608 PRP: Verified PRP without proof (small exponent)
2023-07-15	-Anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : 15251BF74A385608 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : F88666A38D4562FF PRP: Verified PRP without proof (not generated)
2017-09-26	George Woltman	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : F88666A38D4562FF PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M5647/14993693964816450781103439481795577/29344601623139452340102540734183/640468202794318024410534088038327061238567359 : F88666A38D4562FF PRP: Verified PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	F-ECM	Factor: 640468202794318024410534088038327061238567359 / (ECM curve 30, B1=3000000, B2=300000000)
2016-10-19	kkmrkkblmbrbk	F-ECM	Factor: 14993693964816450781103439481795577 / (ECM curve 627, B1=3000000, B2=300000000)