How many positive integers N from 1 to 5000 satisfy the N is congruent to 11 modulo 27?
11 38 65 92 119 146 173 227 254 281 335 362 389 416 443 497 524 551 578 632 659 686 713 767 794 821 848 875 929 956 983 1118 1145 1172 1199 1226 1253 1334 1361 1388 1415 1442 1469 1496 1523 1577 1631 1658 1685 1712 1739 1766 1793 1847 1874 1928 1955 1982 2117 2144 2171 2198 2225 2252 2279 2333 2387 2414 2441 2468 2495 2522 2549 2576 2657 2684 2711 2738 2765 2792 2819 2846 2873 2927 2954 2981 3116 3143 3197 3224 3251 3278 3332 3359 3386 3413 3467 3494 3521 3548 3575 3629 3656 3683 3737 3764 3791 3818 3845 3872 3899 3926 3953 4115 4142 4169 4196 4223 4277 4331 4358 4385 4412 4439 4466 4493 4547 4574 4628 4655 4682 4736 4763 4817 4844 4871 4898 4925 4952 4979 Total = 140 such numbers
Sorry, the first list is wrong:
(11, 38, 65, 92, 119, 146, 173, 200, 227, 254, 281, 308, 335, 362, 389, 416, 443, 470, 497, 524, 551, 578, 605, 632, 659, 686, 713, 740, 767, 794, 821, 848, 875, 902, 929, 956, 983, 1010, 1037, 1064, 1091, 1118, 1145, 1172, 1199, 1226, 1253, 1280, 1307, 1334, 1361, 1388, 1415, 1442, 1469, 1496, 1523, 1550, 1577, 1604, 1631, 1658, 1685, 1712, 1739, 1766, 1793, 1820, 1847, 1874, 1901, 1928, 1955, 1982, 2009, 2036, 2063, 2090, 2117, 2144, 2171, 2198, 2225, 2252, 2279, 2306, 2333, 2360, 2387, 2414, 2441, 2468, 2495, 2522, 2549, 2576, 2603, 2630, 2657, 2684, 2711, 2738, 2765, 2792, 2819, 2846, 2873, 2900, 2927, 2954, 2981, 3008, 3035, 3062, 3089, 3116, 3143, 3170, 3197, 3224, 3251, 3278, 3305, 3332, 3359, 3386, 3413, 3440, 3467, 3494, 3521, 3548, 3575, 3602, 3629, 3656, 3683, 3710, 3737, 3764, 3791, 3818, 3845, 3872, 3899, 3926, 3953, 3980, 4007, 4034, 4061, 4088, 4115, 4142, 4169, 4196, 4223, 4250, 4277, 4304, 4331, 4358, 4385, 4412, 4439, 4466, 4493, 4520, 4547, 4574, 4601, 4628, 4655, 4682, 4709, 4736, 4763, 4790, 4817, 4844, 4871, 4898, 4925, 4952, 4979)>>Total = 185
