5 647 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	5992 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^151 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)	2017-09-20	kkmrkkblmbrbk	F88666A38D4562FF	3	0	1	3
Verified	No proof (small exponent)	2017-09-26	George Woltman	F88666A38D4562FF	3	577	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F88666A38D4562FF	3	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	15251BF74A385608	3	612	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	15251BF74A385608	3	1500	5	3

History

Date	User	Type	Result
2025-05-20	masser	NF-PP1	Start=114/11, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : 15251BF74A385608
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
2017-10-02	kkmrkkblmbrbk	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : F88666A38D4562FF
2017-09-26	George Woltman	C-PRP	M5647/29344601623139452340102540734183/14993693964816450781103439481795577/640468202794318024410534088038327061238567359 : F88666A38D4562FF
2017-09-20	kkmrkkblmbrbk	C-PRP	M5647/14993693964816450781103439481795577/29344601623139452340102540734183/640468202794318024410534088038327061238567359 : F88666A38D4562FF
2016-10-21	kkmrkkblmbrbk	F-ECM	Factor: 640468202794318024410534088038327061238567359
2016-10-19	kkmrkkblmbrbk	F-ECM	Factor: 14993693964816450781103439481795577
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53