Calculations on the set of prime numbers using various formulas.
#PRIMES #COMPOSITES #NUMBERS #THEORY NEW FORMULA FOR PRIMES XXI CENTURY!!!
My new formula for primes and composites in relation to the Golden Number Phi explained in this video:
Fib(11) = 89 - Fib(12) = 144 SUM P = 1164 QTY P = 10 AVG P = 116.00 Phi P = 1.611111 Fib(11) = 89 - Fib(12) = 144 SUM C = 5271 QTY C = 45 AVG C = 117.00 Phi C = 1.625000
Phi P = 1.611111 < Phi Phi C = 1.625000 > Phi
Fib(12) = 144 - Fib(13) = 233 SUM P = 3223 QTY P = 17 AVG P = 189.00 Phi P = 1.622318 Fib(12) = 144 - Fib(13) = 233 SUM C = 13598 QTY C = 72 AVG C = 188.00 Phi C = 1.613734
Phi P = 1.622318 > Phi Phi C = 1.613734 < Phi
Fib(13) = 233 - Fib(14) = 377 SUM P = 6989 QTY P = 23 AVG P = 303.00 Phi P = 1.607427 Fib(13) = 233 - Fib(14) = 377 SUM C = 37003 QTY C = 121 AVG C = 305.00 Phi C = 1.618037
Phi P = 1.607427 < Phi Phi C = 1.618037 > Phi
Fib(14) = 377 - Fib(15) = 610 SUM P = 18165 QTY P = 37 AVG P = 490.00 Phi P = 1.606557 Fib(14) = 377 - Fib(15) = 610 SUM C = 96937 QTY C = 196 AVG C = 494.00 Phi C = 1.619672
Phi P = 1.606557 < Phi Phi C = 1.619672 > Phi
Fib(15) = 610 - Fib(16) = 987 SUM P = 43635 QTY P = 55 AVG P = 793.00 Phi P = 1.606890 Fib(15) = 610 - Fib(16) = 987 SUM C = 257588 QTY C = 322 AVG C = 799.00 Phi C = 1.619048
Phi P = 1.606890 < Phi Phi C = 1.619048 > Phi
Fib(16) = 987 - Fib(17) = 1597 SUM P = 109567 QTY P = 85 AVG P = 1289.00 Phi P = 1.614277 Fib(16) = 987 - Fib(17) = 1597 SUM C = 678858 QTY C = 525 AVG C = 1293.00 Phi C = 1.619286
Phi P = 1.614277 < Phi Phi C = 1.619286 > Phi
Fib(17) = 1597 - Fib(18) = 2584 SUM P = 259979 QTY P = 125 AVG P = 2079.00 Phi P = 1.609133 Fib(17) = 1597 - Fib(18) = 2584 SUM C = 1803838 QTY C = 862 AVG C = 2092.00 Phi C = 1.619195
Phi P = 1.609133 < Phi Phi C = 1.619195 > Phi
Fib(18) = 2584 - Fib(19) = 4181 SUM P = 667790 QTY P = 198 AVG P = 3372.00 Phi P = 1.613011 Fib(18) = 2584 - Fib(19) = 4181 SUM C = 4734861 QTY C = 1399 AVG C = 3384.00 Phi C = 1.618751
Phi P = 1.613011 < Phi Phi C = 1.618751 > Phi
Fib(19) = 4181 - Fib(20) = 6765 SUM P = 1624217 QTY P = 297 AVG P = 5468.00 Phi P = 1.616556 Fib(19) = 4181 - Fib(20) = 6765 SUM C = 12519307 QTY C = 2287 AVG C = 5474.00 Phi C = 1.618330
Phi P = 1.616556 < Phi Phi C = 1.618330 > Phi
Fib(20) = 6765 - Fib(21) = 10946 SUM P = 4047056 QTY P = 458 AVG P = 8836.00 Phi P = 1.614471 Fib(20) = 6765 - Fib(21) = 10946 SUM C = 32979880 QTY C = 3723 AVG C = 8858.00 Phi C = 1.618491
Phi P = 1.614471 < Phi Phi C = 1.618491 > Phi
Fib(21) = 10946 - Fib(22) = 17711 SUM P = 10070738 QTY P = 704 AVG P = 14305.00 Phi P = 1.615380 Fib(21) = 10946 - Fib(22) = 17711 SUM C = 86864947 QTY C = 6061 AVG C = 14331.00 Phi C = 1.618316
Phi P = 1.615380 < Phi Phi C = 1.618316 > Phi
Fib(22) = 17711 - Fib(23) = 28657 SUM P = 25189072 QTY P = 1088 AVG P = 23151.00 Phi P = 1.615731 Fib(22) = 17711 - Fib(23) = 28657 SUM C = 228588465 QTY C = 9858 AVG C = 23188.00 Phi C = 1.618313
Phi P = 1.615731 < Phi Phi C = 1.618313 > Phi
Fib(23) = 28657 - Fib(24) = 46368 SUM P = 62628735 QTY P = 1673 AVG P = 37434.00 Phi P = 1.614648 Fib(23) = 28657 - Fib(24) = 46368 SUM C = 601764008 QTY C = 16038 AVG C = 37521.00 Phi C = 1.618401
Phi P = 1.614648 < Phi Phi C = 1.618401 > Phi
Fib(24) = 46368 - Fib(25) = 75025 SUM P = 157627850 QTY P = 2602 AVG P = 60579.00 Phi P = 1.614902 Fib(24) = 46368 - Fib(25) = 75025 SUM C = 1581766079 QTY C = 26055 AVG C = 60708.00 Phi C = 1.618341
Phi P = 1.614902 < Phi Phi C = 1.618341 > Phi
Fib(25) = 75025 - Fib(26) = 121393 SUM P = 395031813 QTY P = 4029 AVG P = 98047.00 Phi P = 1.615365 Fib(25) = 75025 - Fib(26) = 121393 SUM C = 4158746283 QTY C = 42339 AVG C = 98224.00 Phi C = 1.618281
Phi P = 1.615365 < Phi Phi C = 1.618281 > Phi
Fib(26) = 121393 - Fib(27) = 196418 SUM P = 993603937 QTY P = 6263 AVG P = 158646.00 Phi P = 1.615392 Fib(26) = 121393 - Fib(27) = 196418 SUM C = 10928318713 QTY C = 68762 AVG C = 158929.00 Phi C = 1.618273
Phi P = 1.615392 < Phi Phi C = 1.618273 > Phi
Fib(27) = 196418 - Fib(28) = 317811 SUM P = 2499980948 QTY P = 9738 AVG P = 256724.00 Phi P = 1.615577 Fib(27) = 196418 - Fib(28) = 317811 SUM C = 28711980247 QTY C = 111655 AVG C = 257149.00 Phi C = 1.618251
Phi P = 1.615577 < Phi Phi C = 1.618251 > Phi
Fib(28) = 317811 - Fib(29) = 514229 SUM P = 6308496827 QTY P = 15187 AVG P = 415387.00 Phi P = 1.615572 Fib(28) = 317811 - Fib(29) = 514229 SUM C = 75405417742 QTY C = 181231 AVG C = 416073.00 Phi C = 1.618240
Phi P = 1.615572 < Phi Phi C = 1.618240 > Phi
Fib(29) = 514229 - Fib(30) = 832040 SUM P = 15937072700 QTY P = 23704 AVG P = 672336.00 Phi P = 1.616115 Fib(29) = 514229 - Fib(30) = 832040 SUM C = 197992634785 QTY C = 294107 AVG C = 673199.00 Phi C = 1.618189
Phi P = 1.616115 < Phi Phi C = 1.618189 > Phi
Fib(30) = 832040 - Fib(31) = 1346269 SUM P = 40227359343 QTY P = 36981 AVG P = 1087784.00 Phi P = 1.615998 Fib(30) = 832040 - Fib(31) = 1346269 SUM C = 519847727152 QTY C = 477248 AVG C = 1089261.00 Phi C = 1.618192
Phi P = 1.615998 < Phi Phi C = 1.618192 > Phi
Fib(31) = 1346269 - Fib(32) = 2178309 SUM P = 101931466309 QTY P = 57909 AVG P = 1760200.00 Phi P = 1.616116 Fib(31) = 1346269 - Fib(32) = 2178309 SUM C = 1364363889271 QTY C = 774131 AVG C = 1762445.00 Phi C = 1.618177
Phi P = 1.616116 < Phi Phi C = 1.618177 > Phi
Fib(32) = 2178309 - Fib(33) = 3524578 SUM P = 257870996074 QTY P = 90550 AVG P = 2847829.00 Phi P = 1.615983 Fib(32) = 2178309 - Fib(33) = 3524578 SUM C = 3580939666362 QTY C = 1255719 AVG C = 2851704.00 Phi C = 1.618182
Phi P = 1.615983 < Phi Phi C = 1.618182 > Phi
Fib(33) = 3524578 - Fib(34) = 5702887 SUM P = 654441400687 QTY P = 142033 AVG P = 4607671.00 Phi P = 1.615908 Fib(33) = 3524578 - Fib(34) = 5702887 SUM C = 9395694716810 QTY C = 2036276 AVG C = 4614155.00 Phi C = 1.618182
Phi P = 1.615908 < Phi Phi C = 1.618182 > Phi
Fib(34) = 5702887 - Fib(35) = 9227465 SUM P = 1661677489343 QTY P = 222855 AVG P = 7456316.00 Phi P = 1.616114 Fib(34) = 5702887 - Fib(35) = 9227465 SUM C = 24649919368674 QTY C = 3301723 AVG C = 7465774.00 Phi C = 1.618164
Phi P = 1.616114 < Phi Phi C = 1.618164 > Phi
Fib(35) = 9227465 - Fib(36) = 14930352 SUM P = 4221069024488 QTY P = 349862 AVG P = 12064954.00 Phi P = 1.616165 Fib(35) = 9227465 - Fib(36) = 14930352 SUM C = 64663584085795 QTY C = 5353025 AVG C = 12079821.00 Phi C = 1.618156
Phi P = 1.616165 < Phi Phi C = 1.618156 > Phi
Fib(36) = 14930352 - Fib(37) = 24157817 SUM P = 10735109882717 QTY P = 549903 AVG P = 19521824.00 Phi P = 1.616191 Fib(36) = 14930352 - Fib(37) = 24157817 SUM C = 169607250411808 QTY C = 8677562 AVG C = 19545495.00 Phi C = 1.618151
Phi P = 1.616191 < Phi Phi C = 1.618151 > Phi
Fib(37) = 24157817 - Fib(38) = 39088169 SUM P = 27324559743219 QTY P = 865019 AVG P = 31588392.00 Phi P = 1.616264 Fib(37) = 24157817 - Fib(38) = 39088169 SUM C = 444817864505493 QTY C = 14065333 AVG C = 31625121.00 Phi C = 1.618143
Phi P = 1.616264 < Phi Phi C = 1.618143 > Phi
Fib(38) = 39088169 - Fib(39) = 63245986 SUM P = 69592739215201 QTY P = 1361581 AVG P = 51111714.00 Phi P = 1.616283 Fib(38) = 39088169 - Fib(39) = 63245986 SUM C = 1166492167533525 QTY C = 22796236 AVG C = 51170384.00 Phi C = 1.618139
Phi P = 1.616283 < Phi Phi C = 1.618139 > Phi
Fib(39) = 63245986 - Fib(40) = 102334155 SUM P = 177416424882449 QTY P = 2145191 AVG P = 82704255.00 Phi P = 1.616357 Fib(39) = 63245986 - Fib(40) = 102334155 SUM C = 3058695861887550 QTY C = 36942978 AVG C = 82795054.00 Phi C = 1.618131
Phi P = 1.616357 < Phi Phi C = 1.618131 > Phi
Fib(40) = 102334155 - Fib(41) = 165580141 SUM P = 452491851513992 QTY P = 3381318 AVG P = 133821146.00 Phi P = 1.616391 Fib(40) = 102334155 - Fib(41) = 165580141 SUM C = 8019760087116929 QTY C = 59864668 AVG C = 133964830.00 Phi C = 1.618127
Phi P = 1.616391 < Phi Phi C = 1.618127 > Phi
Fib(41) = 165580141 - Fib(42) = 267914296 SUM P = 1155101203883449 QTY P = 5334509 AVG P = 216533743.00 Phi P = 1.616440 Fib(41) = 165580141 - Fib(42) = 267914296 SUM C = 21025542301081496 QTY C = 96999646 AVG C = 216758959.00 Phi C = 1.618122
Phi P = 1.616440 < Phi Phi C = 1.618122 > Phi
Fib(42) = 267914296 - Fib(43) = 433494437 SUM P = 2949939781199270 QTY P = 8419528 AVG P = 350368783.00 Phi P = 1.616486 Fib(42) = 267914296 - Fib(43) = 433494437 SUM C = 55119738755976477 QTY C = 157160613 AVG C = 350722345.00 Phi C = 1.618117
Phi P = 1.616486 < Phi Phi C = 1.618117 > Phi
Fib(43) = 433494437 - Fib(44) = 701408733 SUM P = 7539299522749130 QTY P = 13298630 AVG P = 566923023.00 Phi P = 1.616527 Fib(43) = 433494437 - Fib(44) = 701408733 SUM C = 144489092520567178 QTY C = 254615666 AVG C = 567479192.00 Phi C = 1.618113
Phi P = 1.616527 < Phi Phi C = 1.618113 > Phi
Fib(44) = 701408733 - Fib(45) = 1134903170 SUM P = 19277443065477372 QTY P = 21014892 AVG P = 917322966.00 Phi P = 1.616566 Fib(44) = 701408733 - Fib(45) = 1134903170 SUM C = 378738054424961652 QTY C = 412479545 AVG C = 918198390.00 Phi C = 1.618109
Phi P = 1.616566 < Phi Phi C = 1.618109 > Phi
Fib(45) = 1134903170 - Fib(46) = 1836311903 SUM P = 49319944945730044 QTY P = 33227992 AVG P = 1484289058.00 Phi P = 1.616598 Fib(45) = 1134903170 - Fib(46) = 1836311903 SUM C = 992698155316690577 QTY C = 668180741 AVG C = 1485673103.00 Phi C = 1.618105
Phi P = 1.616598 < Phi Phi C = 1.618105 > Phi
Your calculations took 34.00 seconds to run.
More info and other results here: www.bogusiak.pl