M15913 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	1,867.2731	79.1045%	50000	50000	0.0000	0.2129%	1,867.2732	79.1490%	0.0445%
PrimeNet	2⁴⁰	0.0000	65.0000%	500	10000	0.0000	3.4815%	0.0000	66.2185%	1.2185%
GPU72	2⁴⁴	0.0001	68.1818%	500	10000	0.0000	1.4559%	0.0001	68.6451%	0.4632%
Difference	+23	+1,867.2730	+10.9227%	+49500	+40000	+0.0000	-1.2430%	+1,867.2730	+10.5039%	+10.5039%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15913	95479	5	16.543	3 3	-	1	3	5.490e-13	3.832e-10	7.033e-10
15913	18951969263	11	34.142	595487 59 × 10093	2008-08-26	59	10093	2.723e-7	2.093e-7	3.550e-7
15913	29723415311	11	34.791	933935 5 × 151 × 1237	2008-08-26	151	1237	1.655e-7	7.263e-8	1.062e-7
15913	4057610553122165536408768239523812031	37	121.610	127493576105139368328057821891655 3 × 5 × 7198341503 × 1180768061198585864759	2021-12-24	7198341503	1180768061198585864759	1.133e+13	2.223e+10	4.152e+10

exponent	prime factors	composite factor	digits	bits*
15913	95479 18951969263	1809515073261977	16	50.685
15913	95479 29723415311	2837961970478969	16	51.334
15913	18951969263 29723415311	563317253365455585793	21	68.933
15913	95479 18951969263 29723415311	53784968034080333875929847	26	85.475
15913	95479 4057610553122165536408768239523812031	387416598001551243250772782741494048907849	42	138.153
15913	18951969263 4057610553122165536408768239523812031	76899710483995709930016883079145907368101603153	47	155.752
15913	29723415311 4057610553122165536408768239523812031	120606043640746553958368909845312589871311406641	48	156.401
15913	95479 18951969263 4057610553122165536408768239523812031	73423074573014263884080819795137720895989729674452 87	52	172.295
15913	95479 29723415311 4057610553122165536408768239523812031	11515344440774840225391105143120600768322941794676 039	53	172.944
15913	18951969263 29723415311 4057610553122165536408768239523812031	22857220320114653049921785610031822878680189041615 26075583	58	190.543
15913	95479 18951969263 29723415311 4057610553122165536408768239523812031	21823845389442269585534821682602284166335057695043 8348170589257	63	207.085

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:47:06	Lisander Viaene	Manual testing	50000	50000		-	skipped known factor: 95479 skipped known factor: 18951969263 skipped known factor: 29723415311	-	-	1.72792e-5	-	-	0.213%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26T19:58:00	ANONYMOUS	Manual testing	?	?	18951969263	34.142	11	1.28477e-7	1.68539e-5	5.70938e-7
2008-08-26T19:58:00	ANONYMOUS	Manual testing	?	?	29723415311	34.791	11	2.16359e-8	1.68539e-5	9.61477e-8

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.628 GHz-days
Estimated T-Level:	35.914

Digits	B1	Curves	Complete	FacMiss
20	11000	2999 / 100	29.990	0.000%
25	50000	2999 / 280	10.711	0.002%
30	250000	2851 / 640	4.455	1.158%
35	1000000	2280 / 1580	1.443	23.610%
40	3000000	859 / 4700	0.183	83.295%

New Calculation Method

Total ECM effort:	20.628 GHz-days
Estimated T-Level:	35.914

Digits	B1	Complete	FacMiss
20	11000	427.158	0.000%
25	50000	88.816	0.000%
30	250000	15.038	0.000%
35	1000000	2.080	12.497%
40	3000000	0.242	78.532%
45	11000000	0.025	97.579%
50	44000000	0.002	99.779%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		148	0.037
250000	25000000		571	0.710
1000000	100000000		1,421	7.066
3000000	300000000		855	12.76
3000000	300000000	4057610553122165536408768239523812031	4	0.060

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06T12:39:00	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-06-08T12:22:00	unconnected	dual5430	250000	25000000						30	0.037
2009-06-12T13:22:00	Rob_Dee	twopc	50000	5000000						80	0.020
2009-07-04T21:44:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05T03:02:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05T11:02:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05T16:22:00	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-06T13:20:00	Rob_Dee	twopc	250000	25000000						10	0.012
2010-04-08T03:44:00	James Hintz	17_012210	250000	25000000						11	0.014
2010-10-02T12:12:00	James Hintz	home2	250000	25000000						520	0.646
2011-01-02T20:45:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-11T02:37:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-13T22:35:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-16T21:13:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-19T23:47:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-23T07:21:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-26T12:06:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-30T00:10:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-02-02T13:32:00	James Hintz	newestmember	1000000	100000000						3	0.015
2011-04-07T00:02:00	James Hintz	17_051310	1000000	100000000						11	0.055
2017-10-13T12:58:34	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.015
2017-10-30T03:02:09	James Hintz	10_12_2017	1000000	100000000						1380	6.863
2019-05-12T19:36:16	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-15T00:33:38	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-18T08:21:26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-22T17:46:31	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-27T03:52:55	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-31T19:05:45	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-05T05:37:34	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-09T17:31:40	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-14T05:57:54	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-18T16:54:08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-23T04:08:28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-27T16:50:11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-08T10:28:03	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-21T19:16:22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-24T18:02:11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-27T15:08:08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-30T13:38:22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-02T11:31:53	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-05T09:41:00	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-08T07:23:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-11T04:50:51	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-13T22:55:20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-16T21:48:26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-19T20:35:26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-22T17:30:26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-25T14:40:16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-28T13:27:41	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-31T12:15:39	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-03T08:39:43	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-06T05:53:03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-09T06:03:56	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-12T04:13:51	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-15T02:23:10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-18T01:17:31	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-21T01:03:50	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-24T00:02:43	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-26T22:49:25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-29T20:38:59	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-02T18:39:16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-05T17:52:00	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-08T14:34:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-11T13:36:08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-14T13:14:53	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-17T10:09:04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-20T10:56:43	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-23T08:57:00	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-26T06:17:03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-29T05:17:22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-01T02:00:40	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-03T23:50:47	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-06T20:08:05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-09T15:57:36	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-12T14:10:21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2021-12-24T08:20:37	nordi	sweet16_ccx1	3000000	300000000	4057610553122165536408768239523812031	121.610	4	2	8405019059908785	4	0.060
2022-01-21T22:52:03	nordi	sweet16_ccx3	3000000	300000000						696	10.38

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