Search a number
congruent n.  and  Hogben n.

First numbers that belong to both sets:

7, 13, 21, 31, 111, 133, 157, 183, 343, 381, 421, 463, 651, 703, 757, 813, 871, 1057, 1191, 1261, 1333, 1407, 1561, 1807, 1893, 1981, 2071, 2257, 2551, 2653, 2757, 2863, 3081, 3423, 3541, 3661, 3783, 4033, 4423, 4557, 4693, 4831, 5551, 5701, 5853, 6007, 6807, 6973, 7141, 7311, 8191, 8373, 8557, 8743, 8931, 9121, 9703, 9901, 10101, 10303, 11343, 11557, 11773, 11991, 13111, 13341, 13573, 13807, 14281, 14763, 15007, 15253, 15501, 15751, 16771, 17031, 17293, 17557, 17823, 18907, 19183, 19461, 19741, 20023, 21463, 21757, 22053, 22351, 23871, 24181, 24493, 24807, 26407, 26733, 27061, 27391, 29071, 29413, 29757, 30103, 31863, 32221, 32581, 32943, 33307, 34041, 34783, 35157, 35533, 35911, 37057, 37443, 37831, 38221, 38613, 39007, 41007, 41413, 41821, 42231, 44311, 44733, 45157, 45583, 47743, 48181, 48621, 49063, 50851, 51303, 51757, 52213, 52671, 53593, 54991, 55461, 55933, 56407, 58807, 59293, 59781, 60271, 62751, 63253, 63757, 64263, 66823, 67341, 67861, 68383, 70491, 71023, 71557, 72093, 72631, 75351, 75901, 76453, 77007, 79807, 80373, 80941, 81511, 84391, 84973, 85557, 86143, 89103, 89701, 90301, 90903, 92721, 93943, 94557, 95173, 95791, 98911, 99541, 100173, 100807, 104007, 104653, 105301, 105951, 109231, 109893, 110557, 111223, 114583, 115261, 115941, 116623, 120063, 120757, 121453, 122151, 125671, 126381, 127093, 127807, 131407, 132133, 132861, 133591, 137271, 138013, 138757, 139503, 143263, 144021, 144781, 145543, 146307, 149383, 150157, 150933, 151711, 155631, 156421, 157213, 158007, 162007, 162813, 163621, 164431, 166873, 168511, 169333, 170157, 170983, 174307, 175143, 175981, 176821, 177663, 181903, 182757, 183613, 184471, 188791, 189661, 190533, 191407, 195807, 196693, 197581, 198471, 202951, 203853, 204757, 205663, 206571, 210223, 211141, 212061, 212983, 217623, 218557, 219493, 220431, 225151, 226101, 227053, 228007, 232807, 233773, 234741, 235711, 238633, 240591, 241573, 242557, 243543, 245521, 248503, 249501, 250501, 251503, 256543, 257557.

Some larger examples :