13 513 Exponent Status

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
64879397924324925613132529328223	32	105.7	old
109383531877474552274846014944007	33	106.4	2017-03-20 15:54:01

P-1 factors

Date	Factors	B1	B2
2024-01-29	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	1528 / 9201

Estimated T-Level: 40.8 ⓘ

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

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	15EE1D55BE77C8E1	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	15EE1D55BE77C8E1	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	15EE1D55BE77C8E1	2	9778	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	FBB147B38F0357AD	2	2938	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	FBB147B38F0357AD	2	6777	5	3

History

Date	User	Type	Result
2025-03-08	masser	NF-PP1	Start=109/11, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-27	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13513/109383531877474552274846014944007/64879397924324925613132529328223 : FBB147B38F0357AD
2024-01-29	-anonymous-	F-PM1	Factor: 109383531877474552274846014944007 / B1=100000000000, B2=122154521813133810
2020-04-17	Oliver Kruse	C-PRP	M13513/64879397924324925613132529328223/109383531877474552274846014944007 : FBB147B38F0357AD
2017-12-07	ATH	C-PRP	M13513/64879397924324925613132529328223/109383531877474552274846014944007 : 15EE1D55BE77C8E1
2017-10-02	kkmrkkblmbrbk	C-PRP	M13513/64879397924324925613132529328223/109383531877474552274846014944007 : 15EE1D55BE77C8E1
2017-09-21	Oliver Kruse	C-PRP	M13513/64879397924324925613132529328223/109383531877474552274846014944007 : 15EE1D55BE77C8E1
2017-03-20	kkmrkkblmbrbk	F-PM1	Factor: 109383531877474552274846014944007 / B1=10000000000, B2=1206738685689916
2003-09-29	-anonymous-	NF-PM1	B1=16777216, B2=1677721600, E=12
2003-09-29	-anonymous-	NF-PM1	B1=8388608, B2=838860800, 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
2002-08-24	-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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