6 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1835345745569959138793	22	70.6	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	3520 / 16550

Estimated T-Level: 46.1 ⓘ

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	76CFF5EFEA91B94D	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	76CFF5EFEA91B94D	1	1993	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	21230E5E9DEB6C40	1	322	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	21230E5E9DEB6C40	1	951	5	3

History

Date	User	Type	Result
2025-03-20	masser	NF-PP1	Start=72/41, B1=1000000000, B2=999000000000
2025-03-11	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	M6451/1835345745569959138793 : 21230E5E9DEB6C40
2023-08-07	-anonymous-	NF-PM1	B1=38000000000, B2=159095079570076650
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6451/1835345745569959138793 : 21230E5E9DEB6C40
2017-10-12	kkmrkkblmbrbk	C-PRP	M6451/1835345745569959138793 : 76CFF5EFEA91B94D
2017-09-21	Oliver Kruse	C-PRP	M6451/1835345745569959138793 : 76CFF5EFEA91B94D
2017-09-21	Oliver Kruse	C-PRP	M6451/1835345745569959138793 : 76CFF5EFEA91B94D