M14 593 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,036.1761	79.1045%	250000000	42750000000	0.8866	14.9574%	2,037.0627	82.2299%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.4183%	0.0002	68.6331%
Difference	+23	+2,036.1759	+10.9227%	+249999500	+42749990000	+0.8866	+13.5392%	+2,037.0625	+13.5968%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
14593	87559	5	16.418	3 3	-	1	3	5.986e-13	3.832e-10	7.033e-10
14593	933953	6	19.833	32 2⁵	2008-08-26	32	32	4.819e-12	1.106e-8	2.251e-8
14593	3012228689	10	31.488	103208 2³ × 7 × 19 × 97	2008-08-26	19	97	2.626e-8	8.035e-9	1.336e-8
14593	4211423057	10	31.972	144296 2³ × 17 × 1061	2008-08-26	17	1061	2.417e-8	2.553e-8	3.729e-8
14593	63369110177	11	35.883	2171216 2⁴ × 135701	2008-08-26	16	135701	6.148e-7	2.560e-6	4.772e-6

exponent	prime factors	composite factor	digits	bits*
14593	87559 933953	81775990727	11	36.251
14593	87559 3012228689	263747731780151	15	47.906
14593	87559 4211423057	368747991447863	15	48.390
14593	933953 3012228689	2813280020777617	16	51.321
14593	933953 4211423057	3933271198354321	16	51.805
14593	87559 63369110177	5548535917987943	16	52.301
14593	933953 63369110177	59183770557139681	17	55.716
14593	3012228689 4211423057	12685769353811482273	20	63.460
14593	3012228689 63369110177	190882251671561267953	21	67.371
14593	87559 933953 3012228689	246327985339267366903	21	67.739
14593	4211423057 63369110177	266874131700991151089	21	67.855
14593	87559 933953 4211423057	344393292856705992439	21	68.223
14593	87559 933953 63369110177	5182071766212593328679	22	72.134
14593	87559 3012228689 4211423057	1110753278850379576341607	25	79.878
14593	933953 3012228689 4211423057	11847912345300295303315169	26	83.293
14593	87559 3012228689 63369110177	16713459074110233060696727	26	83.789
14593	87559 4211423057 63369110177	23367232097607084198201751	26	84.273
14593	933953 3012228689 63369110177	178275051595409660888508209	27	87.204
14593	933953 4211423057 63369110177	249247895924535788533024817	27	87.688
14593	3012228689 4211423057 63369110177	803885915861689915045419392321	30	99.343
14593	87559 933953 3012228689 4211423057	1037391357042148556462972882471	31	99.711
14593	87559 933953 3012228689 63369110177	15609585242642474497736890271831	32	103.622
14593	87559 933953 4211423057 63369110177	21823896519256429108163119951703	32	104.106
14593	87559 3012228689 4211423057 63369110177	70387446906933707271461876572234439	35	115.761
14593	933953 3012228689 4211423057 63369110177	750791662776772881226414577716374913	36	119.176
14593	87559 933953 3012228689 4211423057 63369110177	65738567201071456707303634010268071007367	41	135.594

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-01	ViliamF	3	250000000	42750000000		-	skipped known factor: 87559 skipped known factor: 933953 skipped known factor: 3012228689 skipped known factor: 4211423057 skipped known factor: 63369110177	-	-	0.887	-	-	14.957%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 87559 skipped known factor: 933953 skipped known factor: 3012228689 skipped known factor: 4211423057 skipped known factor: 63369110177	-	-	0.138	-	-	7.865%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	3012228689	31.488	10	6.65354e-9	0.000	3.21134e-7
2008-08-26	ANONYMOUS	Manual testing	?	?	4211423057	31.972	10	4.56582e-9	0.000	2.20370e-7
2008-08-26	ANONYMOUS	Manual testing	?	?	63369110177	35.883	11	3.01175e-7	0.000	1.44853e-5
2008-08-26	ANONYMOUS	Manual testing	?	?	933953	19.833	6	3.31510e-14	0.000	1.60041e-12

ECM factoring results:

Total ECM effort:	23.149 GHz-days
Estimated T-Level:	36.619

Digits	B1	Complete	FacMiss
20	11000	499.467	0.000%
25	50000	109.977	0.000%
30	250000	19.065	0.000%
35	1000000	2.714	6.627%
40	3000000	0.324	72.337%
45	11000000	0.034	96.685%
50	44000000	0.003	99.693%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	148	0.037
250000	25000000	551	0.685
500000	50000000	10	0.025
1000000	100000000	1,421	7.066
3000000	300000000	1,028	15.34

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

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-06-07	unconnected	dual5430	250000	25000000						30	0.037
2009-06-10	Rob_Dee	twopc	50000	5000000						80	0.020
2009-07-06	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-06	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-08	Rob_Dee	twopc	250000	25000000						10	0.012
2009-08-07	Rob_Dee	twopc	500000	50000000						5	0.012
2009-08-13	Rob_Dee	twopc	500000	50000000						5	0.012
2010-04-09	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-09	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-09	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-10	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-10	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-11	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-11	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-11	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-12	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-12	James Hintz	14_091909	250000	25000000						11	0.014
2010-04-13	James Hintz	14_091909	250000	25000000						11	0.014
2011-04-09	James Hintz	17_051310	250000	25000000						11	0.014
2013-11-18	BloodIce	URM2	250000	25000000						379	0.471
2014-08-11	James Hintz	08_04_2014	1000000	100000000						11	0.055
2017-07-08	kkmrkkblmbrbk	c4.large	1000000	100000000						1410	7.012
2019-03-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-03-29	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-03-31	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-06	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-22	storm5510	HP-Z220-CMT	3000000	300000000						3	0.045
2019-04-25	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-29	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-05-02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-23	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-31	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-16	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-20	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-10	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-07-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-06	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-06	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-31	mnd9	75204	3000000	300000000						3	0.045
2019-11-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-11-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2021-10-30	nordi	sweet16	3000000	300000000						800	11.93