6 473 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
2796337	7	21.4	old
8145477428041	13	42.9	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	2947 / 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	6BB4C0721228180A	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	6BB4C0721228180A	2	132	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AC9621E37DEC00D6	2	736	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AC9621E37DEC00D6	2	3939	5	3

History

Date	User	Type	Result
2025-03-20	masser	NF-PP1	Start=93/59, B1=1000000000, B2=999000000000
2025-03-12	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-03	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6473/2796337/8145477428041 : AC9621E37DEC00D6
2023-08-07	-anonymous-	NF-PM1	B1=38000000000, B2=159095079570076650
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006397938886340
2020-04-17	Oliver Kruse	C-PRP	M6473/2796337/8145477428041 : AC9621E37DEC00D6
2017-10-12	kkmrkkblmbrbk	C-PRP	M6473/2796337/8145477428041 : 6BB4C0721228180A
2017-09-21	Oliver Kruse	C-PRP	M6473/2796337/8145477428041 : 6BB4C0721228180A
2017-09-21	Oliver Kruse	C-PRP	M6473/2796337/8145477428041 : 6BB4C0721228180A