Inhaltsverzeichnis

Development of
Algorithmic Constructions

english

Distribution of Primes

P mod 440 =8*5*11
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 111 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 153 155 157 159 161 163 165 167 169 171 173 175 177 179 181 183 185 187 189 191 193 195 197 199 201 203 205 207 209 211 213 215 217 219 221 223 225 227 229 231 233 235 237 239 241 243 245 247 249 251 253 255 257 259 261 263 265 267 269 271 273 275 277 279 281 283 285 287 289 291 293 295 297 299 301 303 305 307 309 311 313 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 349 351 353 355 357 359 361 363 365 367 369 371 373 375 377 379 381 383 385 387 389 391 393 395 397 399 401 403 405 407 409 411 413 415 417 419 421 423 425 427 429 431 433 435 437 439
10 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10^2 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10^3 1 3 1 2 1 1 1 0 2 1 1 2 0 2 1 2 0 0 1 2 1 1 0 2 1 1 1 0 1 2 2 1 0 2 1 1 2 0 0 1 1 2 0 1 1 1 0 0 2 0 2 2 0 2 1 1 1 0 2 0 0 1 0 1 1 2 0 0 2 1 0 0 0 1 1 1 1 0 1 1 1 1 0 2 0 0 2 0 1 2 1 0 0 0 0 2 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 2 0 1 1 1 1 0 0 0 2 0 0 1 0 1 1 0 0 2 1 0 0 1 1 1 1 0 1 0 0 2 0 0 1 0 1 0 1 0 2 1 0 2 0 1 0 0 0 1 1 1 0 1 0 0 0 0 2 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 2 0 1 2 0 0 0 1 1 1 0 0 0 1 0 1 0 1 2 1 1 0 0 0 1 1 0 1 1
10^4 5 9 1 11 7 1 5 0 11 6 7 7 0 6 9 6 0 0 10 9 8 9 0 6 5 6 8 0 5 8 9 10 0 8 8 7 7 0 0 7 6 6 0 11 9 6 7 0 10 0 11 9 0 10 8 10 7 0 7 9 0 8 0 7 7 7 9 0 10 9 9 0 0 7 7 11 8 0 7 6 9 10 0 8 9 9 9 0 8 11 8 7 0 0 6 11 8 0 8 9 4 11 0 9 0 8 8 0 4 8 8 8 0 8 6 0 8 0 9 9 9 9 0 8 7 11 0 0 8 7 6 7 0 9 9 6 6 0 7 6 7 6 0 6 4 7 10 0 0 7 6 7 0 6 8 9 9 0 8 0 7 6 0 6 7 6 8 0 6 4 0 7 0 7 8 5 7 0 6 7 8 0 0 5 8 9 7 0 9 8 6 8 0 9 8 7 9 0 9 6 8 9 0 0 10 6 7 0 6 7 11 5 0 7 0 6 5 0 6 10
10^5 50 67 1 65 62 1 59 0 60 60 59 60 0 59 62 55 0 0 63 60 59 63 0 61 59 60 58 0 58 65 58 58 0 58 58 62 59 0 0 61 57 58 0 60 66 61 65 0 60 0 64 57 0 64 59 58 60 0 61 54 0 55 0 60 52 61 59 0 68 48 61 0 0 56 64 67 60 0 63 59 61 58 0 57 57 67 63 0 52 65 65 57 0 0 55 62 64 0 59 64 53 58 0 64 0 60 62 0 61 63 64 63 0 59 58 0 58 0 60 61 64 64 0 63 63 60 0 0 64 58 55 64 0 55 56 60 58 0 61 58 59 59 0 58 50 53 64 0 0 62 57 55 0 62 57 63 55 0 57 0 58 65 0 57 58 59 56 0 68 61 0 58 0 61 64 56 60 0 56 57 61 0 0 59 59 62 58 0 66 65 52 63 0 61 66 59 62 0 58 58 60 59 0 0 65 56 64 0 60 58 64 59 0 63 0 64 58 0 54 63
10^6 492 499 1 483 472 1 499 0 494 508 486 500 0 499 499 501 0 0 487 491 496 497 0 510 479 479 487 0 477 483 482 498 0 488 498 482 498 0 0 476 477 498 0 488 483 481 516 0 497 0 494 501 0 495 500 501 488 0 484 479 0 482 0 499 470 496 499 0 494 501 482 0 0 480 497 501 482 0 489 514 485 499 0 484 490 493 501 0 490 494 487 472 0 0 483 485 498 0 477 499 484 482 0 504 0 489 486 0 484 484 499 489 0 504 483 0 475 0 506 478 494 474 0 476 485 506 0 0 506 475 478 491 0 484 490 483 493 0 503 497 484 485 0 495 491 486 490 0 0 496 505 475 0 492 466 504 485 0 490 0 507 496 0 501 475 489 471 0 503 492 0 493 0 487 501 485 487 0 496 505 471 0 0 468 508 498 497 0 478 488 491 503 0 485 489 499 497 0 487 479 489 512 0 0 497 498 490 0 506 509 475 489 0 469 0 502 491 0 482 489
10^7 4115 4175 1 4113 4092 1 4149 0 4128 4176 4148 4182 0 4192 4155 4148 0 0 4140 4149 4177 4128 0 4088 4131 4132 4148 0 4156 4146 4155 4133 0 4162 4127 4107 4166 0 0 4203 4119 4144 0 4181 4152 4166 4151 0 4191 0 4159 4190 0 4141 4157 4114 4132 0 4142 4185 0 4170 0 4155 4132 4229 4173 0 4192 4173 4130 0 0 4152 4158 4197 4187 0 4175 4120 4172 4111 0 4151 4158 4154 4160 0 4121 4170 4157 4166 0 0 4142 4201 4158 0 4161 4161 4163 4121 0 4178 0 4186 4096 0 4224 4132 4189 4163 0 4165 4176 0 4125 0 4163 4089 4081 4110 0 4143 4157 4174 0 0 4162 4174 4104 4165 0 4174 4171 4176 4147 0 4186 4137 4155 4186 0 4181 4123 4151 4159 0 0 4147 4196 4153 0 4101 4109 4187 4153 0 4170 0 4174 4188 0 4184 4152 4144 4158 0 4131 4144 0 4168 0 4121 4211 4174 4179 0 4141 4151 4117 0 0 4151 4186 4154 4187 0 4147 4148 4160 4132 0 4147 4165 4142 4134 0 4152 4167 4114 4172 0 0 4136 4076 4153 0 4162 4142 4165 4183 0 4182 0 4141 4175 0 4105 4128
10^8 36004 36117 1 36156 35852 1 35959 0 35895 35891 36047 36018 0 36046 36128 36003 0 0 36001 36026 35948 36181 0 35913 35864 36127 35994 0 36038 36120 35936 36104 0 35969 35903 36032 36006 0 0 35992 35893 35938 0 36076 35949 35987 35982 0 35986 0 36046 36028 0 36006 35955 35972 35898 0 36084 36108 0 36023 0 36057 36146 36013 36005 0 36065 36003 36035 0 0 35999 36036 36070 36065 0 35926 35928 36123 35998 0 35986 35912 36020 36081 0 36006 36071 35845 36050 0 0 35970 36031 36028 0 36055 36036 35967 35977 0 36023 0 36017 36018 0 36109 35892 36115 35873 0 35879 35990 0 36005 0 36021 35937 35953 35974 0 35948 35956 36021 0 0 35972 36032 35999 35942 0 36032 36307 35858 35984 0 36021 35850 36000 36057 0 35964 35928 36023 36041 0 0 36059 36117 35904 0 35959 36029 36106 36080 0 35976 0 36029 35959 0 36041 36147 36086 36071 0 36002 35900 0 36002 0 36098 35965 35973 35987 0 35995 36162 35985 0 0 35997 36061 36046 36027 0 36106 36050 35938 35962 0 36043 35985 35980 35851 0 35979 35968 36002 35974 0 0 36033 35836 36024 0 36035 36010 36006 36187 0 36110 0 36108 36100 0 35921 36035
10^9 317671 317865 1 317648 317877 1 317493 0 317576 318124 317986 317800 0 317617 318107 317661 0 0 317843 317520 318127 317940 0 318095 317271 317844 317951 0 318034 318072 317617 317713 0 318022 317843 317842 318101 0 0 317852 317649 317952 0 317453 317416 317666 318238 0 317489 0 318103 317789 0 317824 317650 317775 317538 0 317905 318125 0 317687 0 317823 317397 317960 317846 0 317979 317778 317970 0 0 317735 318124 317489 317739 0 317764 317490 317673 317736 0 317822 317604 317898 318021 0 317755 317796 317653 317646 0 0 318045 318090 317935 0 317688 317974 317754 317952 0 317937 0 318050 317942 0 317974 317605 317959 317693 0 317547 317201 0 317885 0 318118 317757 318181 317775 0 318196 317813 317664 0 0 318383 317874 317765 317863 0 317726 317927 317966 317804 0 317685 317537 317904 317727 0 317637 317594 317837 317689 0 0 317825 317394 317725 0 317816 317860 317906 317508 0 317744 0 317171 317671 0 318136 318159 317870 317686 0 317741 317681 0 317920 0 317723 317804 317701 317967 0 317479 317890 317549 0 0 317673 317970 317655 317901 0 317860 318117 317714 317684 0 317684 317875 317805 317783 0 317464 317580 317718 317690 0 0 317807 317550 317713 0 317870 317644 317794 317937 0 318140 0 317804 317994 0 317709 317748
10^10 2843451 2843174 1 2843461 2843555 1 2843764 0 2843644 2843835 2843965 2844860 0 2844109 2844110 2844299 0 0 2843350 2843416 2844481 2843888 0 2845022 2843785 2844081 2843416 0 2844194 2845647 2843688 2843311 0 2844264 2844507 2843815 2843994 0 0 2843599 2843557 2844529 0 2843872 2843729 2844067 2844974 0 2843917 0 2843805 2844298 0 2843337 2844139 2843380 2843403 0 2844872 2844398 0 2844237 0 2844218 2843314 2843778 2843129 0 2844701 2842871 2843916 0 0 2844007 2844250 2844696 2844408 0 2843841 2844131 2844733 2843252 0 2844631 2843562 2843947 2844260 0 2844254 2844153 2843357 2844207 0 0 2844945 2844328 2843426 0 2843756 2843983 2843345 2844282 0 2844244 0 2844582 2845591 0 2844045 2843407 2845003 2843896 0 2844309 2843850 0 2844594 0 2844389 2845152 2843856 2843927 0 2844135 2844543 2844681 0 0 2844334 2844895 2843780 2843900 0 2843473 2844458 2844061 2843342 0 2843209 2843163 2844125 2843839 0 2844075 2843575 2844191 2843798 0 0 2844021 2844720 2843883 0 2844842 2842864 2844690 2843391 0 2843492 0 2843900 2844394 0 2843850 2844152 2843727 2844963 0 2843336 2844408 0 2845292 0 2843923 2844636 2844618 2845665 0 2843931 2844434 2844035 0 0 2843461 2844310 2844002 2844474 0 2843895 2844492 2844484 2844179 0 2844521 2843718 2844503 2844734 0 2844684 2844322 2843502 2844703 0 0 2843155 2843089 2843540 0 2844590 2843548 2843630 2844481 0 2844594 0 2843650 2844227 0 2845257 2844294
10^11 25736321 25733511 1 25737100 25738435 1 25736230 0 25735358 25741216 25739725 25737376 0 25738959 25738897 25736124 0 0 25736223 25739946 25740942 25737953 0 25739002 25737716 25739965 25737140 0 25740121 25734672 25737355 25738924 0 25738794 25737878 25739148 25737156 0 0 25740393 25736880 25738428 0 25737358 25736550 25738761 25739086 0 25737207 0 25737408 25737036 0 25738363 25740154 25738986 25737646 0 25738234 25739186 0 25736962 0 25739414 25736165 25739433 25737297 0 25738750 25738353 25739888 0 0 25739567 25737206 25738796 25738723 0 25737767 25739757 25740480 25740296 0 25737277 25734697 25737580 25737622 0 25738334 25740833 25738130 25736936 0 0 25737533 25738194 25740733 0 25739374 25736618 25736871 25740166 0 25739178 0 25737567 25739888 0 25736650 25734049 25737507 25739200 0 25736750 25738895 0 25738360 0 25739879 25736329 25736693 25737367 0 25736229 25738279 25741217 0 0 25737753 25739920 25737997 25738856 0 25737966 25735082 25736841 25738388 0 25736113 25736850 25736058 25737307 0 25735852 25734626 25736188 25737571 0 0 25734016 25739664 25738008 0 25735124 25739957 25737583 25735483 0 25737135 0 25738213 25737150 0 25739146 25738316 25737761 25736646 0 25738155 25735616 0 25739233 0 25735089 25737458 25738657 25738135 0 25735549 25739883 25735476 0 0 25742523 25737826 25736101 25736833 0 25737932 25738723 25735283 25733982 0 25738898 25738822 25739390 25735472 0 25739523 25737099 25735091 25738044 0 0 25738318 25738328 25737345 0 25738748 25735831 25738635 25737032 0 25738577 0 25735892 25739927 0 25738366 25737796
10^12 235042630 235045313 1 235053087 235051375 1 235040893 0 235052353 235051376 235053003 235051538 0 235063215 235049071 235049277 0 0 235037531 235045746 235051969 235046031 0 235054417 235047966 235060937 235049405 0 235045044 235049644 235055713 235043086 0 235043493 235050447 235051840 235052671 0 0 235053655 235044756 235055517 0 235044163 235047458 235053271 235052848 0 235046586 0 235043613 235048024 0 235051967 235055176 235051600 235048434 0 235053117 235060306 0 235055411 0 235057685 235048649 235051037 235055882 0 235048003 235047304 235050432 0 0 235053639 235045085 235056471 235051903 0 235050252 235055810 235052483 235050626 0 235053776 235054686 235042767 235057652 0 235053732 235053216 235048040 235044375 0 0 235048043 235058264 235049309 0 235050753 235047758 235052976 235054176 0 235056482 0 235045948 235055847 0 235052078 235048483 235042979 235052700 0 235041501 235041481 0 235047883 0 235044121 235044427 235056910 235047470 0 235039982 235047739 235047499 0 0 235047886 235060263 235046956 235048299 0 235054324 235051409 235039576 235044589 0 235052459 235041630 235044623 235052798 0 235049057 235039150 235049102 235049693 0 0 235053012 235051150 235045955 0 235046138 235042908 235038604 235045455 0 235055042 0 235048849 235044618 0 235053447 235052719 235052200 235049174 0 235046484 235044906 0 235049557 0 235044854 235045324 235044771 235056666 0 235045706 235050213 235037542 0 0 235050924 235044430 235039221 235042531 0 235048890 235039486 235050099 235046466 0 235047685 235051623 235053160 235047015 0 235056496 235049724 235049075 235054348 0 0 235055955 235049712 235051388 0 235053277 235052762 235050996 235052706 0 235049203 0 235050928 235041652 0 235048151 235053717