6 673 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
6766423	7	22.7	old
19551502967	11	34.2	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	2900 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	F833A528FBA3E4A8	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F833A528FBA3E4A8	2	2113	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	29C25776575845E2	2	6137	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	29C25776575845E2	2	1012	5	3

History

Date	User	Type	Result
2025-03-22	masser	NF-PP1	Start=115/53, B1=1000000000, B2=999000000000
2025-03-13	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6673/6766423/19551502967 : 29C25776575845E2
2023-08-11	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1014019569853290
2020-04-17	Oliver Kruse	C-PRP	M6673/6766423/19551502967 : 29C25776575845E2
2017-10-12	kkmrkkblmbrbk	C-PRP	M6673/6766423/19551502967 : F833A528FBA3E4A8
2017-09-21	Oliver Kruse	C-PRP	M6673/6766423/19551502967 : F833A528FBA3E4A8
2017-09-21	Oliver Kruse	C-PRP	M6673/6766423/19551502967 : F833A528FBA3E4A8