Thread: 3-tuples and 4-tuples View Single Post
 2020-12-31, 09:16 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 222558 Posts But why? Thomas Nicely's tables from 1999 had shown billions of quads. Why extend it to 10000? Code:  Table 1. Counts of prime quadruplets and estimates of Brun's B_4 constant. ====================================================================== x pi_4(x) delta_4(x) S_4(x) F_4(x) ====================================================================== 10 1 10.29 0.510689310689311 0.964070321217938 100 2 11.60 0.789976586880612 0.846649213196690 1000 5 11.49 0.853473194253130 0.870265083531968 10000 12 12.17 0.863733192400183 0.870817270689693 10^05 38 14.88 0.867011003684134 0.870638051768363 10^06 166 17.68 0.868379532753497 0.870478518913352 10^07 899 -36.05 0.869267876960829 0.870589687487152 10^08 4768 -33.36 0.869705293632323 0.870590803418512 10^09 28388 8.84 0.869966856425087 0.870588778250229 10^10 180529 545.93 0.870134891176928 0.870588272187457 10^11 1209318 638.22 0.870247695545365 0.870588327409023 10^12 8398278 -3699.97 0.870326020813441 0.870588394083423 10^13 60070590 4848.36 0.870382016088034 0.870588379770569 10^14 441296836 -6103.68 0.870423153466140 0.870588379781931 2.0e+14 807947960 2717.36 0.870433368925933 0.870588379517423 3.0e+14 1151928827 -12660.14 0.870438957019776 0.870588379757893 4.0e+14 1482125418 -15032.60 0.870442759816539 0.870588379787802 5.0e+14 1802539207 -23557.26 0.870445621161320 0.870588379871401 6.0e+14 2115416076 -35177.17 0.870447903679533 0.870588379961704 7.0e+14 2422194981 -49882.89 0.870449795732922 0.870588380059497 8.0e+14 2723839871 -35301.69 0.870451407176393 0.870588379983029 9.0e+14 3021126140 -38141.52 0.870452807976233 0.870588379996686 1.0e+15 3314576487 -26197.22 0.870454044834374 0.870588379948604 1.1e+15 3604646822 -19485.07 0.870455150797010 0.870588379922608 1.2e+15 3891706125 -36034.00 0.870456149967533 0.870588379981021 1.3e+15 4175985018 -18182.67 0.870457060200978 0.870588379923299 1.4e+15 4457782901 -24552.75 0.870457895584737 0.870588379943262 1.5e+15 4737286827 -38254.45 0.870458666969910 0.870588379980055 1.6e+15 5014641832 -29496.94 0.870459383002448 0.870588379958289 ====================================================================== Computing 10000 triplets or quads on the fly would be likely faster than fetching it from internet.