6 719 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
1290049	7	20.3	old
342280050529	12	38.3	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	3005 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^148 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	968EB307DD4E8710	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	968EB307DD4E8710	2	4113	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3F85EFF4AB7EA8EE	2	3992	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3F85EFF4AB7EA8EE	2	4474	5	3

History

Date	User	Type	Result
2025-03-22	masser	NF-PP1	Start=97/37, B1=1000000000, B2=999000000000
2025-03-14	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-05	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6719/1290049/342280050529 : 3F85EFF4AB7EA8EE
2023-08-12	-anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2020-04-17	Oliver Kruse	C-PRP	M6719/1290049/342280050529 : 3F85EFF4AB7EA8EE
2017-10-12	kkmrkkblmbrbk	C-PRP	M6719/1290049/342280050529 : 968EB307DD4E8710
2017-09-21	Oliver Kruse	C-PRP	M6719/1290049/342280050529 : 968EB307DD4E8710
2017-09-21	Oliver Kruse	C-PRP	M6719/1290049/342280050529 : 968EB307DD4E8710