12 413 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
5865438465548926483874570379275657	34	112.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1446 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	7491EC22058984AF	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	7491EC22058984AF	1	6863	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1CD3ADEB103FF48A	1	994	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1CD3ADEB103FF48A	1	1443	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=139/59, B1=430000000, B2=429570000000
2025-02-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12413/5865438465548926483874570379275657 : 1CD3ADEB103FF48A
2023-05-13	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2021-02-24	gLauss	NF-PM1	B1=1000000000, B2=100000000000
2020-04-17	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 1CD3ADEB103FF48A
2017-10-12	kkmrkkblmbrbk	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF
2017-09-21	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF
2017-09-21	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
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
2002-08-17	-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
2001-09-22	-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
2000-08-31	-anonymous-	NF	no factor TF: 1-56
2000-07-17	-anonymous-	NF	no factor TF: 1-55
2000-01-19	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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