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 A349734 Numbers k such that A255217(k) divides A007504(k). 2
 2, 5, 15, 17, 20, 25, 26, 33, 37, 45, 49, 51, 71, 87, 88, 91, 105, 111, 121, 127, 173, 175, 199, 203, 213, 221, 262, 271, 287, 305, 307, 319, 324, 329, 368, 377, 410, 411, 415, 439, 445, 455, 463, 467, 468, 473, 547, 558, 561, 567, 585, 589, 591, 614, 651, 661, 663, 665, 670, 673, 743, 761, 765 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE a(2) = 5 is a term because A255217(5) = 2*3*5*7*11 mod (2+3+5+7+11) = 14 divides 2+3+5+7+11 = 28. MAPLE P:= 1: S:= 0: p:= 1: count:= 0: R:= NULL: for n from 1 while count < 100 do p:= nextprime(p); P:= P*p; S:= S+p; r:= P mod S; if r = 0 then next fi; v:= S mod r; if v = 0 then count:= count+1; R:= R, n; fi od: R; MATHEMATICA Select[Range[1000], (m = Mod[Times @@ (p = Prime[Range[#]]), Plus @@ p]) > 0 && Divisible[Plus @@ p, m] &] (* Amiram Eldar, Nov 28 2021 *) CROSSREFS Cf. A002110, A007504, A255217, A349738. Sequence in context: A146108 A032841 A058221 * A146122 A263457 A146121 Adjacent sequences: A349731 A349732 A349733 * A349735 A349736 A349737 KEYWORD nonn AUTHOR J. M. Bergot and Robert Israel, Nov 28 2021 STATUS approved

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Last modified June 23 06:39 EDT 2024. Contains 373629 sequences. (Running on oeis4.)