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Old 2021-09-10, 04:01   #90
SethTro
 
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"Seth"
Apr 2019

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I spent most of today working on new optimal bounds. It can be a large speedup to use these instead of the traditionally optimal B1 bounds. ecm can confirm they represent a full t<X> while taking substantially less time when accounting for the GPU speedup.

Full table at https://github.com/sethtroisi/misc-s..._gpu_optimizer and an excerpt below

Code:
GPU speedup/CPU cores	digits	optimal B1	optimal B2	B2/B1 ratio	expected curves
Fast GPU + 4 cores					
40/4	35	2,567,367	264,075,603	103	809
40/4	40	8,351,462	1,459,547,807	175	1760
40/4	45	38,803,644	17,323,036,685	446	2481
40/4	50	79,534,840	58,654,664,284	737	7269
40/4	55	113,502,213	96,313,119,323	849	29883
40/4	60	322,667,450	395,167,622,450	1225	56664
Fast GPU + 8 cores					
40/8	35	1,559,844	351,804,250	226	1038
40/8	40	6,467,580	2,889,567,750	447	1843
40/8	45	29,448,837	35,181,170,876	1195	2599
40/8	50	40,201,280	58,928,323,592	1466	11993
40/8	55	136,135,593	289,565,678,027	2127	20547
40/8	60	479,960,096	3,226,409,839,042	6722	30014
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