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 A112456 Least triangular number divisible by n-th prime. 3
 6, 3, 10, 21, 55, 78, 136, 171, 253, 406, 465, 666, 820, 903, 1081, 1378, 1711, 1830, 2211, 2485, 2628, 3081, 3403, 3916, 4656, 5050, 5253, 5671, 5886, 6328, 8001, 8515, 9316, 9591, 11026, 11325, 12246, 13203, 13861, 14878, 15931, 16290 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Essentially the same as A008837; only the first terms differ. LINKS MATHEMATICA With[{tr=Accumulate[Range[300]]}, Table[SelectFirst[tr, Divisible[#, Prime[n]]&], {n, 50}]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 06 2018 *) PROG (PARI) T(n) = n*(n+1)/2 for(n=1, 100, p=prime(n); tr=1; while(T(tr)%p<>0, tr++); print1(T(tr), ", ")) CROSSREFS Cf. A000217 (triangular numbers), A008837 (p(p-1)/2 for p prime). Sequence in context: A249948 A066070 A272549 * A060534 A060445 A131894 Adjacent sequences:  A112453 A112454 A112455 * A112457 A112458 A112459 KEYWORD nonn AUTHOR Rick L. Shepherd, Sep 06 2005 STATUS approved

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Last modified October 18 03:22 EDT 2019. Contains 328135 sequences. (Running on oeis4.)