13 591 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Assignments

Assigned	User	Work Type	Stage	% Done	Updated	Est Complete	Expired
2026-04-09	-anonymous-	ECM	C1S1	97.39 %	2026-04-09	2026-04-11

Factored

Factor	Digits	Bits	Date
49545335924082423590506148869776808801	38	125.2	2009-03-05 15:09:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1527 / 9201

Estimated T-Level: 40.8 ⓘ

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

Status	User	Residue	Software
Factored	Unknown	1B7B	Unknown,(aka U)
Factored	George Woltman	57217D0A08A51B7B	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	57217D0A08A51B7B	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	127698BF5592D5A7	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	127698BF5592D5A7	1	1599	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	FDCEB60F603F1B2A	1	1005	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	FDCEB60F603F1B2A	1	1092	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=143/41, B1=430000000, B2=429570000000
2025-02-11	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	M13591/49545335924082423590506148869776808801 : FDCEB60F603F1B2A
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2020-04-17	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : FDCEB60F603F1B2A
2017-10-12	kkmrkkblmbrbk	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7
2017-09-21	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7
2017-09-21	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7
2009-03-05	-anonymous-	F-ECM	Factor: 49545335924082423590506148869776808801
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
2000-09-15	-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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