12 983 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
450425309825654577227106498991355249	36	118.4	2009-03-05 15:09:13

P-1 factors

Date	Factors	B1	B2
2023-10-10	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1584 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	0FF0	Unknown,(aka U)
Factored	George Woltman	8AF154ABB64B0FF0	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	8AF154ABB64B0FF0	Mac,John Sweeney,v1.4,(aka J3)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	F306AB81DAF187BC	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F306AB81DAF187BC	1	10301	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	53E4C22DF2203165	1	9202	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	53E4C22DF2203165	1	7181	5	3

History

Date	User	Type	Result
2025-03-02	masser	NF-PP1	Start=183/71, B1=430000000, B2=429570000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12983/450425309825654577227106498991355249 : 53E4C22DF2203165
2023-10-10	-anonymous-	F-PM1	Factor: 450425309825654577227106498991355249 / B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2020-04-17	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : 53E4C22DF2203165
2017-10-12	kkmrkkblmbrbk	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC
2017-09-21	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC
2017-09-21	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC
2009-03-05	-anonymous-	F-ECM	Factor: 450425309825654577227106498991355249
2003-09-29	-anonymous-	NF-PM1	B1=8388608, B2=838860800, E=12
2003-09-29	-anonymous-	NF-PM1	B1=16777216, B2=1677721600, E=12
2003-07-06	-anonymous-	NF-PM1	B1=4194304, B2=419430400, E=12
2003-05-19	-anonymous-	NF-PM1	B1=2097152, B2=209715200, E=12
2003-04-27	-anonymous-	NF-PM1	B1=1048576, B2=104857600, E=48
2003-04-03	-anonymous-	NF-PM1	B1=524288, B2=52428800, E=48
2003-03-27	-anonymous-	NF-PM1	B1=262144, B2=26214400, E=30
2003-02-02	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=30
2002-08-17	-anonymous-	NF	no factor TF: 1-57
2002-07-14	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-09	-anonymous-	NF-PM1	B1=32768, B2=3276800
2002-04-28	-anonymous-	NF-PM1	B1=16384, B2=1638400
2001-09-30	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-07-17	Alex Kruppa	NF-PM1	B1=1000000, B2=100000000
2001-04-29	-anonymous-	NF-PM1	B1=100000, B2=10000000
2000-09-08	-anonymous-	NF	no factor TF: 1-56
2000-01-25	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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