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 A258600 Smallest number m such that A036966(m) = prime(n)^3. 9
 2, 4, 8, 13, 23, 29, 39, 45, 57, 75, 80, 98, 108, 114, 126, 142, 161, 166, 183, 193, 196, 215, 227, 241, 261, 273, 278, 285, 294, 305, 338, 348, 366, 370, 393, 397, 412, 428, 435, 451, 465, 468, 492, 495, 509, 510, 535, 565, 574, 578, 588, 599, 601, 625, 638 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A036966(a(n)) = A030078(n) = prime(n)^3; A036966(m) mod prime(n) > 0 for m < a(n); also smallest number m such that A258568(m) = prime(n): A258568(a(n)) = A000040(n) and A258568(m) != A000040(n) for m < a(n). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..1000 EXAMPLE .   n |  p |  a(n) | A036966(a(n)) = A030078(n) = p^3 . ----+----+-------+--------------------------------- .   1 |  2 |     2 |             8 .   2 |  3 |     4 |            27 .   3 |  5 |     8 |           125 .   4 |  7 |    13 |           343 .   5 | 11 |    23 |          1331 .   6 | 13 |    29 |          2197 .   7 | 17 |    39 |          4913 .   8 | 19 |    45 |          6859 .   9 | 23 |    57 |         12167 .  10 | 29 |    75 |         24389 .  11 | 31 |    80 |         29791 .  12 | 37 |    98 |         50653 .  13 | 41 |   108 |         68921 .  14 | 43 |   114 |         79507 .  15 | 47 |   126 |        103823 .  16 | 53 |   142 |        148877 .  17 | 59 |   161 |        205379 .  18 | 61 |   166 |        226981 .  19 | 67 |   183 |        300763 .  20 | 71 |   193 |        357911 .  21 | 73 |   196 |        389017 .  22 | 79 |   215 |        493039 .  23 | 83 |   227 |        571787 .  24 | 89 |   241 |        704969 .  25 | 97 |   261 |        912673  . PROG (Haskell) import Data.List (elemIndex); import Data.Maybe (fromJust) a258600 = (+ 1) . fromJust . (`elemIndex` a258568_list) . a000040 CROSSREFS Cf. A258568, A000040, A030078, A036966, A258599, A258601, A258602, A258603. Sequence in context: A164415 A233274 A164417 * A227232 A303852 A096573 Adjacent sequences:  A258597 A258598 A258599 * A258601 A258602 A258603 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jun 06 2015 STATUS approved

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Last modified September 21 11:18 EDT 2019. Contains 327253 sequences. (Running on oeis4.)