2 557 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
92006001376648044276967530077499930523710420381051263551	56	185.9	2019-04-07 22:23:29

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	40830 / 40830
60	260000000	105362 / 105362
65	800000000	194238 / 194238
70	2400000000	136707 / 350860

Estimated T-Level: 66.9 ⓘ

TF below 2^217 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Unknown	34D1	0	Unknown,(aka U)
Factored		George Woltman	B31C2E206863B4D1	0	Woltman,Prime95,first web release,(aka W4)
Factored		Brian J. Beesley	B31C2E206863B4D1	0	Mac,John Sweeney,v1.4,(aka J3)
Factored	2015-04-11	MadPoo 🙂	B31C2E206863B4D1	904	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)	2019-04-07	matzetoni	992E7F45D5B4F7AE	1	1982	5	3
Verified	No proof (small exponent)	2019-04-08	ATH	992E7F45D5B4F7AE	1	1313	5	3
Verified	No proof (small exponent)	2019-04-08	kkmrkkblmbrbk	992E7F45D5B4F7AE	1	1314	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	992E7F45D5B4F7AE	1	1120	5	3

History

Date	User	Type	Result
2025-04-13	masser	NF-PP1	Start=82/23, B1=4300000000, B2=4295700000000
2020-04-17	Oliver Kruse	C-PRP	M2557/92006001376648044276967530077499930523710420381051263551 : 992E7F45D5B4F7AE
2019-04-08	kkmrkkblmbrbk	C-PRP	M2557/92006001376648044276967530077499930523710420381051263551 : 992E7F45D5B4F7AE
2019-04-08	ATH	C-PRP	M2557/92006001376648044276967530077499930523710420381051263551 : 992E7F45D5B4F7AE
2019-04-07	matzetoni	C-PRP	M2557/92006001376648044276967530077499930523710420381051263551 : 992E7F45D5B4F7AE
2019-04-07	Ryan Propper	F-ECM	Factor: 92006001376648044276967530077499930523710420381051263551
2018-11-06	Joss	NF-PM1	B1=200000000000, B2=18000000000000, E=12
2018-11-05	Joss	NF-PM1	B1=200000000000, B2=15000000000000, E=12
2018-11-02	Joss	NF-PM1	B1=200000000000, B2=7000000000000, E=12
2018-11-01	Joss	NF-PM1	B1=200000000000, B2=4000000000000, E=12
2018-10-31	Joss	NF-PM1	B1=200000000000, B2=2000000000000, E=12
2018-05-02	snme2pm1	NF	no factor TF: 63-64
2016-11-21	snme2pm1	NF	no factor TF: 62-63
2016-02-23	LaurV	NF	no factor TF: 57-58
2015-06-29	snme2pm1	NF	no factor TF: 61-62
2015-04-11	MadPoo 🙂	C-LL	B31C2E206863B4D1
2014-12-24	James Hintz	NF-PM1	B1=100000000000, B2=10000000000000, E=12
2013-01-31	Stef42	NF-PM1	B1=20000000000
2012-05-22	bcp19	NF	no factor TF: 60-61
2011-04-15	Joss	NF-PM1	B1=10000000000
2011-01-04	monst	NF	no factor TF: 58-60
2003-01-16	Alex Kruppa	NF	no factor TF: 1-57
2002-12-31	-anonymous-	NF-PM1	B1=4290000000
2002-12-25	Alex Kruppa	NF	no factor TF: 1-57
2002-09-14	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-03	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-05-25	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000
2001-06-03	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-06-03	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-10	-anonymous-	NF	no factor TF: 1-56
2000-02-01	-anonymous-	NF	no factor TF: 54-55
1999-12-23	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53

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