A378294 Nonnegative norms of ideals in Q(sqrt(10), sqrt(26)).
0, 1, 2, 4, 5, 8, 9, 10, 13, 16, 18, 20, 25, 26, 32, 36, 37, 40, 45, 49, 50, 52, 64, 65, 67, 72, 74, 79, 80, 81, 83, 90, 98, 100, 104, 117, 121, 125, 128, 130, 134, 144, 148, 158, 160, 162, 163, 166, 169, 180, 185, 191, 196, 197, 199, 200, 208, 225, 227, 234, 242, 245, 250
Offset: 0
Keywords
Examples
74=2*37. Using the formula above, 74 is in this sequence. 849=3*283. Using the formula above, 849 is not in this sequence, although 849=1849-1000=43^2-10*100=43^2-10*10^2 and 849==329 (mod 520).
Crossrefs
Cf. A378295.
Programs
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Magma
IsRepresentablePrime:=func
Formula
A positive integer n is in this sequence if and only if all prime factors of n congruent to {3, 7, 11, 17, 19, 21, 23, 27, 29, 31, 33, 41, 43, 47, 51, 53, 57, 59, 61, 63, 69, 71, 73, 77, 87, 89, 97, 99, 101, 103, 107, 109, 111, 113, 119, 127, 131, 133, 137, 139, 141, 147, 149, 151, 153, 157, 161, 167, 171, 173, 177, 179, 181, 183, 189, 193, 201, 207, 211, 217, 219, 223, 229, 233, 237, 239, 241, 243, 249, 251, 257, 259, 261, 263, 269, 271, 277, 279, 281, 283, 287, 291, 297, 301, 303, 309, 313, 319, 327, 331, 337, 339, 341, 343, 347, 349, 353, 359, 363, 367, 369, 371, 373, 379, 381, 383, 387, 389, 393, 401, 407, 409, 411, 413, 417, 419, 421, 423, 431, 433, 443, 447, 449, 451, 457, 459, 461, 463, 467, 469, 473, 477, 479, 487, 489, 491, 493, 497, 499, 501, 503, 509, 513, 517} mod 520 occur with even exponents.
Comments