31 817 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 10 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
34553263	8	25.0	old
35571407	8	25.1	2008-08-26 19:59:26
53134391	8	25.7	2008-08-26 19:59:26
106147811767	12	36.6	2008-08-26 19:59:26
3334510852141488233	19	61.5	2009-03-30 14:34:02
312876296180312279168622885407233	33	107.9	2018-05-29 08:48:48
61616511924264545425643699355785809	35	115.6	2018-05-30 03:17:06
265196408951138298839977855543644017	36	117.7	2018-05-30 22:18:05
17438226631414339226285213748690669100831	41	133.7	2020-02-18 10:06:32
24120390327081671517843130891211537004871	41	134.1	2018-07-21 09:50:54

P-1 factors

Date	Factors	B1	B2
2024-03-07	No new factors discovered	1000000000000	2004561742532529152
2021-02-25	No new factors discovered	10000000000	10000000000

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	8868 / 40830

Estimated T-Level: 51.1 ⓘ

TF below 2^165 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	9F398D66DB9EACF6	5	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9F398D66DB9EACF6	5	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	9F398D66DB9EACF6	5	5895	1	3
Factored	No proof (small exponent)	2018-06-01	M Graber	91637D3708C39040	8	11897	5	3
Factored	No proof (small exponent)	2018-06-01	M Graber	91637D3708C39040	8	15005	5	3
Factored	No proof (small exponent)	2018-06-01	M Graber	91637D3708C39040	8	24392	5	3
Factored	No proof (small exponent)	2018-06-01	M Graber	91637D3708C39040	8	1439	5	3
Factored	No proof (small exponent)	2018-06-02	Oliver Kruse	91637D3708C39040	7	12082	5	3
Factored	No proof (small exponent)	2018-06-03	Oliver Kruse	91637D3708C39040	6	7541	5	3
Factored	No proof (small exponent)	2018-07-01	kkmrkkblmbrbk	91637D3708C39040	8	160	5	3
Factored	No proof (small exponent)	2018-07-22	_p95holder_	91637D3708C39040	9	20080	5	3
Factored	No proof (small exponent)	2019-08-10	nordi	91637D3708C39040	1	19427	5	3
Verified	No proof (small exponent)	2020-02-18	nordi	91637D3708C39040	10	28957	5	3
Verified	No proof (small exponent)	2020-02-19	Jinyuan Wang	91637D3708C39040	10	14325	5	3
Verified	No proof (small exponent)	2020-02-19	xyuzyz	91637D3708C39040	10	13531	5	3

History

Date	User	Type	Result
2024-03-07	-anonymous-	F-PM1	Factor: 312876296180312279168622885407233 / B1=1000000000000, B2=2004561742532529180
2022-07-19	nordi	NF-PM1	B1=400000000000, B2=400119674985600570
2022-02-09	nordi	NF-PM1	B1=400000000000
2021-12-22	Seth_Tr	NF-PM1	B1=10000000000, B2=252517976190480
2021-08-24	nordi	NF-PP1	Start=6/5, B1=2200000000, B2=220000000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=2200000000, B2=220000000000
2021-03-01	Seth_Tr	NF-PM1	B1=10000000000, B2=1000000000000
2021-02-25	Seth_Tr	F-PM1	Factor: 6932292235325039464332944259181777 / B1=10000000000
2021-02-18	Seth_Tr	NF-PM1	B1=100000000
2020-05-21	Oliver Kruse	NF-PM1	B1=1000000000, B2=200000000000
2020-02-19	xyuzyz	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017/24120390327081671517843130891211537004871/17438226631414339226285213748690669100831 : 91637D3708C39040
2020-02-19	Jinyuan Wang	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017/17438226631414339226285213748690669100831/24120390327081671517843130891211537004871 : 91637D3708C39040
2020-02-18	nordi	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017/24120390327081671517843130891211537004871/17438226631414339226285213748690669100831 : 91637D3708C39040
2020-02-18	nordi	F-ECM	Factor: 17438226631414339226285213748690669100831 / ECM curve 6, B1=43000000, B2=4300000000, Montgomery Sigma=4101079660800333
2019-08-10	nordi	C-PRP	M31817/2850563627269674533202886063020109347531951769480594468198146018565464630543215088809765717524154002845624716356709102235048978615178624657177396487614752656095467223859589968368667258496204548239 : 91637D3708C39040
2018-07-22	_p95holder_	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017/24120390327081671517843130891211537004871 : 91637D3708C39040
2018-07-21	nordi	F-ECM	Factor: 24120390327081671517843130891211537004871
2018-07-01	kkmrkkblmbrbk	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017 : 91637D3708C39040
2018-06-03	Oliver Kruse	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233 : 91637D3708C39040
2018-06-02	Oliver Kruse	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809 : 91637D3708C39040
2018-06-01	M Graber	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017 : 91637D3708C39040
2018-06-01	M Graber	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017 : 91637D3708C39040
2018-06-01	M Graber	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017 : 91637D3708C39040
2018-06-01	M Graber	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233/312876296180312279168622885407233/61616511924264545425643699355785809/265196408951138298839977855543644017 : 91637D3708C39040
2018-05-30	nordi	F-ECM	Factor: 265196408951138298839977855543644017
2018-05-30	kkmrkkblmbrbk	F-ECM	Factor: 61616511924264545425643699355785809
2018-05-29	kkmrkkblmbrbk	F-ECM	Factor: 312876296180312279168622885407233
2017-12-07	ATH	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233 : 9F398D66DB9EACF6
2017-10-02	kkmrkkblmbrbk	C-PRP	M31817/34553263/35571407/53134391/106147811767/3334510852141488233 : 9F398D66DB9EACF6
2017-09-21	Oliver Kruse	C-PRP	M31817/known_factors : 9F398D66DB9EACF6
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2009-03-30	Matthias Wurtinger	F-ECM	Factor: 3334510852141488233
2008-08-26	-anonymous-	F	Factor: 106147811767
2008-08-26	-anonymous-	F	Factor: 53134391
2008-08-26	-anonymous-	F	Factor: 35571407

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