4 591 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
622304041006452740824160434864315474346236458056663	51	168.7	2018-12-13 07:52:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	32173 / 40830

Estimated T-Level: 53.9 ⓘ

TF below 2^174 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Unknown	4EA3	0	Unknown,(aka U)
Factored		George Woltman	4DF7B43264724EA3	0	Woltman,Prime95,first web release,(aka W4)
Factored		Brian J. Beesley	4DF7B43264724EA3	0	Mac,John Sweeney,v1.4,(aka J3)
Factored	2015-04-11	MadPoo 🙂	4DF7B43264724EA3	2496	Windows 64-bit,Prime95,v26,(aka We4)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2018-12-13	Anton Repko	7BF6B168FBCCDE42	1	2678	5	3
Verified	No proof (small exponent)	2018-12-14	kkmrkkblmbrbk	7BF6B168FBCCDE42	1	3103	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7BF6B168FBCCDE42	1	2051	5	3

History

Date	User	Type	Result
2025-05-18	masser	NF-PP1	Start=72/71, B1=2100000000, B2=2097900000000
2023-05-25	-anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2020-04-17	Oliver Kruse	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42
2018-12-14	kkmrkkblmbrbk	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42
2018-12-13	Anton Repko	C-PRP	M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42
2018-12-13	Anton Repko	F-ECM	Factor: 622304041006452740824160434864315474346236458056663
2018-07-13	snme2pm1	NF	no factor TF: 63-64
2016-12-02	snme2pm1	NF	no factor TF: 62-63
2016-11-24	-anonymous-	NF-PM1	B1=100000000000, B2=1000000000000, E=12
2016-02-23	LaurV	NF	no factor TF: 57-58
2015-06-21	mikr	NF-PM1	B1=30000000000, B2=2400000000000, E=12
2015-06-19	Sid & Andy	NF	no factor TF: 61-62
2015-04-11	MadPoo 🙂	C-LL	4DF7B43264724EA3
2015-02-12	Jayder	NF-PM1	B1=2560040779, B2=163842609831, E=12
2012-09-29	bcp19	NF	no factor TF: 60-61
2011-05-04	Joss	NF-PM1	B1=10000000000
2011-01-27	monst	NF	no factor TF: 58-60
2003-01-09	-anonymous-	NF	no factor TF: 1-57
2003-01-09	-anonymous-	NF-PM1	B1=4290000000
2002-09-22	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-10	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-07-07	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-24	-anonymous-	NF	no factor TF: 1-56
2000-02-16	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-30	-anonymous-	NF	no factor TF: 52-53

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