13 043 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
1408933449841018324321854263	28	90.2	old
8468066034717310497171346330775527	34	112.7	2009-06-22 01:02:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1856 / 9201

Estimated T-Level: 41.0 ⓘ

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	05246AC07C412837	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	05246AC07C412837	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	05246AC07C412837	2	3738	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	34B8F305946A9155	2	10049	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	34B8F305946A9155	2	5513	5	3

History

Date	User	Type	Result
2025-03-02	masser	NF-PP1	Start=76/37, B1=430000000, B2=429570000000
2025-02-01	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	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 34B8F305946A9155
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2020-04-17	Oliver Kruse	C-PRP	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 34B8F305946A9155
2017-12-07	ATH	C-PRP	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 05246AC07C412837
2017-10-02	kkmrkkblmbrbk	C-PRP	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 05246AC07C412837
2017-09-21	Oliver Kruse	C-PRP	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 05246AC07C412837
2017-09-21	Oliver Kruse	C-PRP	M13043/1408933449841018324321854263/8468066034717310497171346330775527 : 05246AC07C412837
2009-06-22	Rob_Dee	F-ECM	Factor: 8468066034717310497171346330775527
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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