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DebjitHoreDebjitHore
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Both brute force as well as sieve of eratosthenes.
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‎Euler_10.ipynb

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{
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"nbformat": 4,
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"nbformat_minor": 0,
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"metadata": {
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"colab": {
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"name": "Euler_10.ipynb",
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"provenance": [],
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"collapsed_sections": [],
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"authorship_tag": "ABX9TyNFO25cXZv5MW1CEbEvXPFO",
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"include_colab_link": true
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},
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"kernelspec": {
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"name": "python3",
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"display_name": "Python 3"
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},
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"language_info": {
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"name": "python"
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}
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},
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"id": "view-in-github",
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"colab_type": "text"
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},
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"source": [
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"<a href=\"https://colab.research.google.com/github/DebjitHore/Python-Codes/blob/master/Euler_10.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"id": "lLOdNYHJdYzm"
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},
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"source": [
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"#Sum of primes below two million\n",
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"import numpy as np"
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],
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"execution_count": 53,
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"outputs": []
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},
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{
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"cell_type": "code",
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"metadata": {
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"id": "srAMYVLPii1S",
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"outputId": "e2cd45b6-0a00-40cd-e816-ee72d0a8c4ed"
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},
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"source": [
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"n= 4\n",
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"count=[]\n",
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"i=2\n",
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"rangeNumber=int(input('Enter range till which you want to go'))\n",
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"fullcount= np.arange(2, rangeNumber+1)\n",
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"while n< rangeNumber+1:\n",
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" while i<n:\n",
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" if n%i==0:\n",
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" count.append(n)\n",
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" break\n",
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" else: \n",
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" i+=1 \n",
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" n+=1\n",
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" i=2 "
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],
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"execution_count": 83,
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"outputs": [
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{
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"output_type": "stream",
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"text": [
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"Enter range till which you want to go1000\n"
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],
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"name": "stdout"
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}
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "EY7Qy1DFZrH8",
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"outputId": "12a5bf56-9b2a-4873-f018-4d21cddd8602"
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},
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"source": [
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"fullcount"
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],
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"execution_count": 84,
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": [
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"array([ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,\n",
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" 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,\n",
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" 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,\n",
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" 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,\n",
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" 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,\n",
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" 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67,\n",
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" 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,\n",
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" 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,\n",
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" 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,\n",
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" 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
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" 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122,\n",
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" 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133,\n",
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" 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144,\n",
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" 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,\n",
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" 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166,\n",
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" 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177,\n",
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" 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188,\n",
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" 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199,\n",
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" 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210,\n",
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" 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221,\n",
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" 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232,\n",
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" 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,\n",
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" 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298,\n",
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" 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320,\n",
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" 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331,\n",
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" 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342,\n",
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" 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353,\n",
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" 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364,\n",
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" 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386,\n",
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" 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397,\n",
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" 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,\n",
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" 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430,\n",
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" 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463,\n",
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" 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474,\n",
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" 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485,\n",
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" 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496,\n",
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" 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507,\n",
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" 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518,\n",
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" 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529,\n",
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" 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540,\n",
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" 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551,\n",
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" 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562,\n",
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" 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573,\n",
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" 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584,\n",
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" 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595,\n",
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" 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606,\n",
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" 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617,\n",
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" 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628,\n",
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" 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639,\n",
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" 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672,\n",
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" 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683,\n",
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" 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705,\n",
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" 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716,\n",
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" 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727,\n",
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" 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738,\n",
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" 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749,\n",
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" 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804,\n",
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" 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815,\n",
171+
" 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826,\n",
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" 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837,\n",
173+
" 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848,\n",
174+
" 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859,\n",
175+
" 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870,\n",
176+
" 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881,\n",
177+
" 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892,\n",
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" 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903,\n",
179+
" 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914,\n",
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" 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925,\n",
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" 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947,\n",
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" 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958,\n",
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" 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969,\n",
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" 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980,\n",
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" 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991,\n",
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" 992, 993, 994, 995, 996, 997, 998, 999, 1000])"
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]
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},
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"metadata": {
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"tags": []
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},
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"execution_count": 84
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}
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "Z13mjlUEguAE",
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"outputId": "cdd25749-3a5c-4e06-d234-90cc967ddc53"
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},
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"source": [
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"count"
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],
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"execution_count": 80,
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": [
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"[4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20]"
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]
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},
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"metadata": {
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"tags": []
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},
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"execution_count": 80
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}
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "rXRT52c7jYPo",
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"outputId": "915e97fd-529a-4260-89a7-ee7c260e7cc2"
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},
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"source": [
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"x= np.array(count)\n",
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"print(fullcount.sum()- x.sum())\n"
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],
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"execution_count": 85,
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"outputs": [
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{
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"output_type": "stream",
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"text": [
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"76127\n"
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],
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"name": "stdout"
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}
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"id": "-3Ve14kFhEYa"
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},
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"source": [
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"#Implement Sieve of Erasthothenes"
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],
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"execution_count": 86,
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"outputs": []
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},
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{
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"cell_type": "code",
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "d10CeJzimUhb",
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"outputId": "b2149f5b-4b53-4ac9-9942-41c06258baa5"
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},
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"source": [
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"n= int(input('Enter range upto which you want to check'))\n",
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"sum, sieve= 0, [True]*n\n",
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"\n",
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"for i in range (2,n):\n",
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" if sieve[i]:\n",
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" sum+=i\n",
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" for j in range(i*i, n, i):\n",
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" sieve[j]= False\n",
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" \n",
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"print(sum)\n"
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],
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"execution_count": 90,
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"outputs": [
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{
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"output_type": "stream",
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"text": [
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"Enter range upto which you want to check2000000\n",
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"142913828922\n"
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],
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"name": "stdout"
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}
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"id": "5jvOZU0bnNuw"
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},
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"source": [
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""
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],
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"execution_count": null,
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"outputs": []
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}
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]
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}

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