M27839299 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	2⁷¹	17.1728	64.7887%	200000	72645930	5.5664	5.4236%	22.7392	66.6984%	1.9097%
PrimeNet	2⁶⁶	0.5305	62.1212%	130000	4500000	0.4941	5.2887%	1.0246	64.1245%	2.0033%
GPU72	2⁷⁰	8.5832	64.2857%	200000	6000000	0.6926	3.9171%	9.2758	65.6847%	1.3990%
Difference	+1	+8.5896	+0.5030%	-	+66645930	+4.8738	+1.5065%	+13.4634	+1.0138%	+1.0138%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
27839299	278392991	9	28.053	5 5	-	1	5	1.286e-12	1.635e-6	2.732e-6
27839299	14031006697	11	33.708	252 2² × 3² × 7	2008-09-08	9	9	4.335e-11	1.208e-5	2.459e-5
27839299	93510646340257	14	46.410	1679472 2⁴ × 3² × 107 × 109	2014-02-12	107	109	5.125e-7	0.0001	0.0003
27839299	10636673495376559	17	53.240	191037021 3 × 7 × 2591 × 3511	2014-09-12	2591	3511	4.330e-5	0.0035	0.0071
27839299	120133948529185164799	21	66.703	2157632426901 3 × 7 × 29 × 3542910389	2020-08-03	29	3542910389	0.9722	259.09	483.91

exponent	prime factors	composite factor	digits	bits*
27839299	278392991 14031006697	3906133921118860727	19	61.760
27839299	278392991 93510646340257	26032708525007349938687	23	74.463
27839299	14031006697 93510646340257	1312048505040944507701129	25	80.118
27839299	278392991 10636673495376559	2961175348668304931297969	25	81.292
27839299	14031006697 10636673495376559	149243237047430897865815623	27	86.948
27839299	278392991 120133948529185164799	33444449251679908821221523809	29	94.756
27839299	93510646340257 10636673495376559	994642213462942658863455835663	30	99.650
27839299	14031006697 120133948529185164799	1685600236350050347247817658903	31	100.411
27839299	278392991 14031006697 93510646340257	365265107655427118963939836386839	33	108.171
27839299	93510646340257 120133948529185164799	11233803174371271538665906773013343	35	113.113
27839299	278392991 14031006697 10636673495376559	41548271148156296522679927941498393	35	115.0003
27839299	10636673495376559 120133948529185164799	1277825586215315595888931738976546641	37	119.943
27839299	278392991 93510646340257 10636673495376559	276901420780809074462490130686627038033	39	127.703
27839299	278392991 14031006697 120133948529185164799	469259291427797439170908576284623948873	39	128.464
27839299	14031006697 93510646340257 10636673495376559	13955831558217452007840135238751284435111	41	133.358
27839299	278392991 93510646340257 120133948529185164799	3127412066018512828122373936266342640678913	43	141.166
27839299	14031006697 93510646340257 120133948529185164799	157621567572383169723426832377727874503358071	45	146.821
27839299	278392991 10636673495376559 120133948529185164799	355737686922810078748467010608512098238993231	45	147.996
27839299	14031006697 10636673495376559 120133948529185164799	17929179357785044009886146897755781845803854777	47	153.651
27839299	278392991 14031006697 93510646340257 10636673495376559	3885205689384347092861570698960469178982296707001	49	161.411
27839299	93510646340257 10636673495376559 120133948529185164799	11949029647711195695431358987198050195798291642673 7	51	166.353
27839299	278392991 14031006697 93510646340257 120133948529185164799	43880739642584359617365438635291304767062492929680 361	53	174.874
27839299	278392991 14031006697 10636673495376559 120133948529185164799	49913578675892375369788380043316032955968359306986 68007	55	181.704
27839299	278392991 93510646340257 10636673495376559 120133948529185164799	33265261031739960738374610636407959033764220430942 345800367	59	194.406
27839299	14031006697 93510646340257 10636673495376559 120133948529185164799	16765691500968733752447497025318697956258799129951 38156857689	61	200.061
27839299	278392991 14031006697 93510646340257 10636673495376559 120133948529185164799	46674510031379651868265122673420750522684742598553 6279945839202057799	69	228.114

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-04-15T15:06:04	masser	Manual testing	200000	72645930		-	skipped known factor: 278392991 skipped known factor: 14031006697 skipped known factor: 93510646340257 skipped known factor: 10636673495376559	-	-	5.566	-	-	5.424%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T23:37:00	Will Edgington	Manual testing	?	?	14031006697	33.708	11	2.24209e-12	53.06	4.61631e-12
2014-02-12T11:35:00	TJAOI	Manual testing	?	?	93510646340257	46.410	14	1.75801e-7	53.06	3.61961e-7
2014-09-12T11:10:00	TJAOI	Manual testing	2⁵³	2⁵⁴*	10636673495376559	53.240	17	1.95917e-7	53.06	4.03379e-7
2022-08-10T19:29:02	LordJulius	Manual testing	2¹	2⁶⁵	10636673495376559	53.240	17	4.32977e-5	53.06	8.91467e-5
2022-08-10T19:29:02	LordJulius	Manual testing	2¹	2⁶⁵	14031006697	33.708	11	4.33471e-11	53.06	8.92487e-11
2022-08-10T19:29:02	LordJulius	Manual testing	2¹	2⁶⁵	278392991	28.053	9	1.28592e-12	53.06	2.64762e-12
2022-08-10T19:29:02	LordJulius	Manual testing	2¹	2⁶⁵	278392991 14031006697	61.760	19	0.014	53.04	0.028
2022-08-10T19:29:02	LordJulius	Manual testing	2¹	2⁶⁵	93510646340257	46.410	14	5.12533e-7	53.06	1.05527e-6
2022-08-10T19:29:02	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.268	-	-
2020-08-03T16:10:55	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	120133948529185164799	66.703	21	0.442	52.53	0.900
2022-08-10T19:29:02	LordJulius	Manual testing	2⁶⁶	2⁶⁷	120133948529185164799	66.703	21	0.442	52.53	0.900
2022-03-28T14:24:18	masser	Manual testing	2⁶⁷	2⁶⁸		-	-	1.074	-	-
2022-08-10T19:29:02	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.074	-	-
2022-03-28T14:24:18	masser	Manual testing	2⁶⁸	2⁶⁹		-	-	2.147	-	-
2022-03-28T14:24:18	masser	Manual testing	2⁶⁹	2⁷⁰		-	-	4.295	-	-
2022-03-28T14:24:18	masser	Manual testing	2⁷⁰	2⁷¹		-	-	8.590	-	-

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