6 211 Exponent Status

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
1110196860540711188306812523817624319633363099818286801	55	179.5	2009-06-25 11:02:18

ECM

Estimated T-Level: 47.4 ⓘ

TF below 2^152 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	72AA	Unknown,(aka U)
Factored	George Woltman	320C67EBCB30F2AA	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	320C67EBCB30F2AA	Mac,John Sweeney,v1.4,(aka J3)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D8127C8FD303A153	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D8127C8FD303A153	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D8127C8FD303A153	1	3678	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BFFF3C8FDE895C32	1	883	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	BFFF3C8FDE895C32	1	5386	5	3

History

Date	User	Type	Result
2025-05-27	masser	NF-PP1	Start=165/37, B1=1500000000, B2=1498500000000
2024-02-03	Wentao Huang	C-PRP	M6211/1110196860540711188306812523817624319633363099818286801 : BFFF3C8FDE895C32
2023-07-31	-anonymous-	NF-PM1	B1=40000000000, B2=169615672618692300
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6211/1110196860540711188306812523817624319633363099818286801 : BFFF3C8FDE895C32
2017-12-07	ATH	C-PRP	M6211/1110196860540711188306812523817624319633363099818286801 : D8127C8FD303A153
2017-10-02	kkmrkkblmbrbk	C-PRP	M6211/1110196860540711188306812523817624319633363099818286801 : D8127C8FD303A153
2017-09-21	Oliver Kruse	C-PRP	M6211/known_factors : D8127C8FD303A153
2009-06-25	eteo	F-ECM	Factor: 1110196860540711188306812523817624319633363099818286801
2003-01-25	-anonymous-	NF-PM1	B1=4290000000
2002-12-31	-anonymous-	NF	no factor TF: 1-57
2002-10-07	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-17	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-08-12	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-25	-anonymous-	NF	no factor TF: 1-56
2000-02-23	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53

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