2 137 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
434527865148151913428610180914321766584011558417928142522774921	63	208.1	2020-09-01 12:05:02

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	72502 / 194238

Estimated T-Level: 61.9 ⓘ

TF below 2^201 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Unknown	7D57	0	Unknown,(aka U)
Factored		George Woltman	46CC3618AE127D57	0	Woltman,Prime95,first web release,(aka W4)
Factored		Brian J. Beesley	46CC3618AE127D57	0	Mac,John Sweeney,v1.4,(aka J3)
Factored	2015-04-11	MadPoo 🙂	46CC3618AE127D57	572	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)	2020-09-01	M Miller	6095C7586B32A230	1	1989	5	3
Verified	No proof (small exponent)	2020-09-02	kutens	6095C7586B32A230	1	763	5	3

History

Date	User	Type	Result
2026-02-07	Jason Lynch	NF-PM1	B1=137270786000, B2=726193437073404300
2025-04-02	masser	NF-PP1	Start=141/37, B1=5300000000, B2=5294700000000
2020-09-02	kutens	C-PRP	M2137/434527865148151913428610180914321766584011558417928142522774921 : 6095C7586B32A230
2020-09-01	M Miller	C-PRP	M2137/434527865148151913428610180914321766584011558417928142522774921 : 6095C7586B32A230
2020-09-01	Ryan Propper	F-ECM	Factor: 434527865148151913428610180914321766584011558417928142522774921
2017-10-07	snme2pm1	NF	no factor TF: 63-64
2016-09-20	James Hintz	NF-PM1	B1=3220658789332, B2=257652703146560, E=12
2016-06-20	snme2pm1	NF	no factor TF: 62-63
2016-02-09	James Hintz	NF-PM1	B1=1777333115906, B2=142186649272480, E=12
2015-07-08	MadPoo 🙂	NF-PM1	B1=2222038391137, B2=10000000000000, E=12
2015-06-22	trebor	NF-PM1	B1=100000000000, B2=10000000000000, E=12
2015-04-11	MadPoo 🙂	C-LL	46CC3618AE127D57
2015-01-04	Chris Smith	NF	no factor TF: 61-62
2013-04-05	Le Comte	NF-PM1	B1=100000000000
2012-04-16	bcp19	NF	no factor TF: 60-61
2010-11-29	monst	NF	no factor TF: 59-60
2008-12-12	Matthias Wurtinger	NF-PM1	B1=20000000000, B2=2000000000000, E=12
2005-04-02	garyfu	NF	no factor TF: 1-59
2002-12-25	-anonymous-	NF-PM1	B1=4290000000
2002-10-19	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
2001-05-27	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-25	-anonymous-	NF	no factor TF: 1-56
2000-05-05	-anonymous-	NF	no factor TF: 50-52
2000-01-25	-anonymous-	NF	no factor TF: 54-55
1999-09-14	-anonymous-	NF	no factor TF: 50-53
1999-01-02	-anonymous-	NF	no factor TF: 50-52
1998-10-25	-anonymous-	NF	no factor TF: 1-54

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