6 833 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
229091334408799	15	47.7	old
700769260051569001	18	59.3	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	2980 / 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	C2ED3B5469350766	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	C2ED3B5469350766	2	4918	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	054CED458A8E4DEF	2	431	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	054CED458A8E4DEF	2	3929	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=193/11, B1=1000000000, B2=999000000000
2025-03-14	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-06	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6833/229091334408799/700769260051569001 : 054CED458A8E4DEF
2023-08-17	-anonymous-	NF-PM1	B1=36000000000, B2=144596153139137700
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6833/229091334408799/700769260051569001 : 054CED458A8E4DEF
2017-10-12	kkmrkkblmbrbk	C-PRP	M6833/229091334408799/700769260051569001 : C2ED3B5469350766
2017-09-21	Oliver Kruse	C-PRP	M6833/229091334408799/700769260051569001 : C2ED3B5469350766
2017-09-21	Oliver Kruse	C-PRP	M6833/229091334408799/700769260051569001 : C2ED3B5469350766
2009-10-25	Carsten Kossendey	F-PM1	Factor: 700769260051569001
1999-04-23	-anonymous-	F-PM1	Factor: 229091334408799