M471190021 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	2⁶⁸	0.1265	57.3529%	-	-	-	-	0.1265	57.3529%	0.0000%
PrimeNet	2⁷⁸	129.9189	62.8205%	1800000	120000000	279.7085	5.7764%	409.6274	64.9682%	2.1476%
GPU72	2⁸²	2,078.7086	64.6341%	2800000	120000000	311.8048	4.3058%	2,390.5135	66.1569%	1.5228%
Difference	-14	-2,078.5821	-7.2812%	-2800000	-120000000	-311.8048	-4.3058%	-2,390.3870	-8.8040%	-8.8040%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
471190021	10366180463	11	33.271	11 11	2008-03-25	1	11	2.434e-12	5.244e-5	6.909e-5
471190021	1073370867839	13	39.965	1139 17 × 67	2008-03-25	17	67	1.938e-10	0.0007	0.0012
471190021	19314896946666457	17	54.101	20495868 2² × 3 × 971 × 1759	2014-11-03	971	1759	6.800e-6	0.0344	0.0671
471190021	1134738949253233063	19	59.977	1204120311 3 × 23 × 71 × 245789	2015-12-29	71	245789	0.0002	0.4569	0.8490
471190021	4570176455774294777	19	61.987	4849610828 2² × 151 × 8029157	2016-06-17	151	8029157	0.0009	14.854	27.735

exponent	prime factors	composite factor	digits	bits*
471190021	10366180463 1073370867839	11126756119745996829457	23	73.236
471190021	10366180463 19314896946666457	200221707373392179530829591	27	87.372
471190021	10366180463 1134738949253233063	11762908726354013017256248169	29	93.248
471190021	1073370867839 19314896946666457	20732047697864226248161376423	29	94.066
471190021	10366180463 4570176455774294777	47375273888310078054940341751	29	95.258
471190021	1073370867839 1134738949253233063	1217995730730657753808838160857	31	99.942
471190021	1073370867839 4570176455774294777	4905494268511819987496694976903	31	101.952
471190021	19314896946666457 1134738949253233063	21917365866194774985067387545467791	35	114.078
471190021	19314896946666457 4570176455774294777	88272487271361856343767020216195089	35	116.088
471190021	1134738949253233063 4570176455774294777	5185957229327188018815378076044611951	37	121.964
471190021	10366180463 1073370867839 19314896946666457	214912147803584268960302249947291423849	39	127.337
471190021	10366180463 1073370867839 1134738949253233063	12625963547917553122672641979804684736791	41	133.214
471190021	10366180463 1073370867839 4570176455774294777	50851238847605704438961143746642114846089	41	135.223
471190021	10366180463 19314896946666457 1134738949253233063	227199369842571348602886669512277739259967233	45	147.349
471190021	10366180463 19314896946666457 4570176455774294777	915048532972807454634170296788847567788346207	45	149.359
471190021	1073370867839 19314896946666457 1134738949253233063	23525462020542361578329110035575302896892273649	47	154.043
471190021	10366180463 1134738949253233063 4570176455774294777	53758568512605107075371648615852184722872513313	47	155.235
471190021	1073370867839 19314896946666457 4570176455774294777	94749116268768756835111254007884380082459842671	47	156.053
471190021	1073370867839 1134738949253233063 4570176455774294777	5566455411818859745833385426202899266324860943889	49	161.929
471190021	19314896946666457 1134738949253233063 4570176455774294777	10016622945427454299657064628428507155855146559302 7607	54	176.065
471190021	10366180463 1073370867839 19314896946666457 1134738949253233063	24386918478039473325715706463495793985507199051591 3519487	57	187.314
471190021	10366180463 1073370867839 19314896946666457 4570176455774294777	98218643795182614416892799372796150877366155007817 3936673	57	189.324
471190021	10366180463 1073370867839 1134738949253233063 4570176455774294777	57702881338157283192195185658253422648533807327733 891040607	59	195.200
471190021	10366180463 19314896946666457 1134738949253233063 4570176455774294777	10383412108212759194493041095114394527128131632104 59488703042041	64	209.336
471190021	1073370867839 19314896946666457 1134738949253233063 4570176455774294777	10751551263749506958439415420303616796647460292533 3391313075431273	66	216.030
471190021	10366180463 1073370867839 19314896946666457 1134738949253233063 4570176455774294777	11145252065722309915845722109909228596564554678302 73648791136452107471819399	76	249.301

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-11-03T12:28:00	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	19314896946666457	54.101	17	1.70654e-6	22,590	3.49485e-6
2015-12-29T14:45:54	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	1134738949253233063	59.977	19	1.66156e-5	22,590	3.40273e-5
2022-07-12T07:52:01	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	0.000	-	-
2016-06-17T15:45:38	TJAOI	Manual testing	2⁶¹	2⁶²*	4570176455774294777	61.987	19	0.000	22,590	0.000
2022-08-10T19:29:47	LordJulius	Manual testing	2¹	2⁶⁸	10366180463	33.271	11	2.43439e-12	22,590	4.98542e-12
2022-08-10T19:29:47	LordJulius	Manual testing	2¹	2⁶⁸	1073370867839	39.965	13	1.93750e-10	22,590	3.96784e-10
2022-08-10T19:29:47	LordJulius	Manual testing	2¹	2⁶⁸	1134738949253233063	59.977	19	0.000	22,590	0.000
2022-08-10T19:29:47	LordJulius	Manual testing	2¹	2⁶⁸	19314896946666457	54.101	17	6.79970e-6	22,590	1.39252e-5
2022-08-10T19:29:47	LordJulius	Manual testing	2¹	2⁶⁸	4570176455774294777	61.987	19	0.001	22,590	0.002

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