M59281 Mersenne number exponent details

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M59281

<<<

<<

is 2 ⁵⁹²⁸¹ - 1

has 17846 decimal digits

takes 0.000 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown			100000000	2000000000	0.3500	47.4972%	0.3500	47.4972%	47.4972%
PrimeNet	2⁴⁰	0.0000	60.0000%	600	10000	0.0000	5.1678%	0.0000	62.0671%	2.0671%
GPU72	2⁴⁴	0.0000	63.6364%	500	10000	0.0000	2.1417%	0.0000	64.4152%	0.7788%
Difference	-44	0.0000	-63.6364%	+99999500	+1999990000	+0.3500	+45.3555%	+0.3500	-16.9180%	-16.9180%

Known prime factors (3 factors, 184.5 bits, 0.31121933% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
59281	1266597847	10	30.238	10683 3² × 1187	-	9	1187	3.167e-9	1.259e-7	2.072e-7
59281	10366235014308281	17	53.203	87433030940 2² × 5 × 71 × 61572557	2009-06-20	71	61572557	0.0298	0.0058	0.0108
59281	2629952747349016244022846861359	31	101.053	22182088252129824429605159 7² × 2479096579 × 182605099958429	2020-07-13	2479096579	182605099958429	2.194e+12	17,115	31,958

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
59281	1266597847 10366235014308281	13129850950618882908871007	26	83.441
59281	1266597847 2629952747349016244022846861359	3331092487503998932247364453408016894073	40	131.291
59281	10366235014308281 2629952747349016244022846861359	27262708255545632330149905426903276677292613879	47	154.256
59281	1266597847 10366235014308281 2629952747349016244022846861359	34530887579863223719621463400969306116704138528143 718513	56	184.494

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-10-11T03:50:52	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1266597847 skipped known factor: 10366235014308281	-	-	0.350	-	-	39.807%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-05-06T18:45:55	ATH	colab-Pp2	15000000	1500000000	2	7			-	-	0.176

Trial Factoring results:
No TF results for M59281

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.328 GHz-days
Estimated T-Level:	31.326

Digits	B1	Curves	Complete	FacMiss
20	11000	1278 / 100	12.780	0.000%
25	50000	1278 / 280	4.564	1.033%
30	250000	1004 / 640	1.569	20.805%
35	1000000	419 / 1580	0.265	76.700%

New Calculation Method

Total ECM effort:	14.328 GHz-days
Estimated T-Level:	31.326

Digits	B1	Complete	FacMiss
20	11000	117.446	0.000%
25	50000	19.818	0.000%
30	250000	2.672	6.910%
35	1000000	0.294	74.555%
40	3000000	0.027	97.333%
45	11000000	0.002	99.783%

ECM Summary

B1	B2	factor	curves	GHz-days
		10366235014308281	1	0.00000e+0
50000	5000000		274	0.339
250000	25000000		585	3.619
1000000	100000000		348	8.612
1000000	100000000	2629952747349016244022846861359	71	1.757

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-06-20T03:27:00	Matthias Wurtinger	WUR_E6600	50000	5000000						23	0.028
2009-06-20T03:27:00	Matthias Wurtinger	WUR_E6600			10366235014308281	53.203		1		1	-
2010-04-30T12:42:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-01T07:11:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-02T01:53:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-02T20:33:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-03T15:10:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-04T11:01:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-05T04:38:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-05T23:18:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-06T18:03:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-07T12:44:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-08T07:30:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-09T03:27:00	James Hintz	16_122109	50000	5000000						11	0.014
2010-05-09T22:10:00	James Hintz	16_122109	50000	5000000						11	0.014
2011-02-22T19:00:00	James Hintz	lappy_010411	50000	5000000						11	0.014
2014-05-13T11:57:00	TJAOI	Manual testing	50000	5000000						97	0.120
2016-09-23T16:18:14	TJAOI	Manual testing	250000	25000000						44	0.272
2016-12-30T04:11:11	kkmrkkblmbrbk	x116xl	250000	25000000						541	3.347
2018-10-21T13:31:04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-10-23T21:13:08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-10-26T02:40:33	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-10-27T20:01:27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-10-29T07:41:20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-10-30T20:41:25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-11-01T21:58:24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-11-04T04:33:16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-11-05T23:13:20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-11-08T05:17:34	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-10T14:53:41	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-11T11:20:17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-11-13T01:25:22	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-13T14:00:08	Ducho_YYZ	Pantalaimon	1000000	100000000						3	0.074
2018-11-15T04:28:48	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-17T05:24:33	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-11-19T03:04:01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-20T18:38:15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-11-22T11:56:39	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-11-24T19:13:35	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-11-27T05:51:48	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-11-29T11:39:32	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-12-02T01:44:24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-12-04T13:06:23	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-06T20:28:57	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-09T12:22:31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-12-11T21:12:50	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-12-14T07:00:44	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-16T17:37:34	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2018-12-19T14:59:08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2018-12-22T00:09:23	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-24T07:35:16	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-27T01:12:14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2018-12-30T01:01:29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-01-02T02:45:32	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-01-05T05:58:36	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-01-08T10:42:31	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-01-11T14:05:53	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-01-13T11:40:54	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-01-15T10:32:16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-01-19T08:51:46	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-01-22T13:35:29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-01-25T19:18:18	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-01-29T02:22:16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-02-01T10:32:14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-02-04T17:42:47	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-02-08T03:09:19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-02-11T12:17:24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-02-14T20:53:42	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-02-18T07:13:46	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-02-21T16:24:37	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-02-25T03:01:11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-02-28T12:50:26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-03-03T20:49:51	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-03-07T06:34:55	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-03-09T09:16:06	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-03-12T05:00:18	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-03-15T11:08:28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-03-20T02:25:37	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-03-23T19:43:05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-03-27T19:27:11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-03-31T04:36:09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-04-03T15:54:34	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-04-07T01:06:56	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-04-10T13:05:29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-04-15T01:01:37	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-04-21T01:07:18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-04-25T14:37:36	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-04-29T00:27:24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-05-03T20:11:20	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-05-08T01:59:12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-05-12T11:36:20	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.074
2019-05-15T15:30:18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-05-21T09:13:09	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-05-27T16:16:35	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-06-03T03:16:36	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-06-09T09:58:08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-06-15T17:33:00	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-06-22T00:52:36	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-06-28T10:25:17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.074
2019-07-18T20:52:56	Niels_Mache_Nextcloud		1000000	100000000						3	0.074
2019-07-24T16:47:14	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-07-28T18:08:21	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-08-01T22:52:08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-08-06T00:22:20	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-08-10T02:23:26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-08-14T02:16:48	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-08-18T06:54:42	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-08-22T07:19:07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-08-26T10:33:44	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-08-30T14:33:36	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-09-03T15:25:26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-09-07T19:07:35	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-09-11T21:25:27	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-09-16T01:08:10	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-09-20T05:12:10	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-09-24T09:16:04	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-09-28T12:02:36	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-02T16:18:50	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-06T19:12:08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-10T21:55:04	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-15T02:02:25	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-19T05:28:49	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-23T10:08:38	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-10-27T13:45:21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-10-31T15:47:06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2019-11-04T15:30:24	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-11-08T15:53:11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2019-11-12T19:08:20	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.074
2020-03-17T09:45:34	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2020-03-19T01:00:06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2020-03-20T21:33:34	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2020-03-22T18:24:46	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.074
2020-04-20T10:52:31	Alex Kruppa	lily	1000000	100000000						3	0.074
2020-05-04T17:43:55	Alex Kruppa	lily	1000000	100000000						3	0.074
2020-05-19T01:10:44	Alex Kruppa	lily	1000000	100000000						3	0.074
2020-07-12T01:33:22	nordi	sweet16	1000000	100000000	2629952747349016244022846861359	101.053	71	2	1839501894401793	71	1.757

Lucas-Lehmer results:
No L-L results for M59281

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T20:08:15

Oliver Kruse

Oliver-PC

1266597847

10366235014308281

04C1EEF434A082__

no

2017-09-21T20:28:08

Oliver Kruse

Manual testing

1266597847

10366235014308281

04C1EEF434A082__

no

2017-10-13T06:11:34

kkmrkkblmbrbk

Manual testing

1266597847

10366235014308281

04C1EEF434A082__

no

2020-04-17T13:47:32

Oliver Kruse

AddPrpType5

1266597847

10366235014308281

0545AB8FFA1659__

no

2020-07-12T01:37:45

CrypticClue

cruncher

1266597847

10366235014308281

2629952747349016244022846861359

0545AB8FFA1659D3

no

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 100000000, B2 = 2000000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2021-05-06T18:45:55+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront