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 A258603 Smallest number m such that A069493(m) = prime(n)^6. 8
 2, 6, 13, 22, 45, 58, 87, 102, 135, 181, 198, 249, 281, 298, 331, 379, 430, 444, 488, 525, 539, 584, 620, 663, 720, 755, 767, 794, 810, 847, 944, 969, 1014, 1028, 1099, 1111, 1154, 1196, 1225, 1267, 1306, 1317, 1384, 1399, 1427, 1433, 1516, 1596, 1620, 1633 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A069493(a(n)) = A030516(n) = prime(n)^6; A069493(m) mod prime(n) > 0 for m < a(n); also smallest number m such that A258571(m) = prime(n): A258571(a(n)) = A000040(n) and A258571(m) != A000040(n) for m < a(n). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..1000 EXAMPLE . n | p | a(n) | A069493(a(n)) = A030516(n) = p^6 . ----+----+-------+--------------------------------- . 1 | 2 | 2 | 64 . 2 | 3 | 6 | 729 . 3 | 5 | 13 | 15625 . 4 | 7 | 22 | 117649 . 5 | 11 | 45 | 1771561 . 6 | 13 | 58 | 4826809 . 7 | 17 | 87 | 24137569 . 8 | 19 | 102 | 47045881 . 9 | 23 | 135 | 148035889 . 10 | 29 | 181 | 594823321 . 11 | 31 | 198 | 887503681 . 12 | 37 | 249 | 2565726409 . 13 | 41 | 281 | 4750104241 . 14 | 43 | 298 | 6321363049 . 15 | 47 | 331 | 10779215329 . 16 | 53 | 379 | 22164361129 . 17 | 59 | 430 | 42180533641 . 18 | 61 | 444 | 51520374361 . 19 | 67 | 488 | 90458382169 . 20 | 71 | 525 | 128100283921 . 21 | 73 | 539 | 151334226289 . 22 | 79 | 584 | 243087455521 . 23 | 83 | 620 | 326940373369 . 24 | 89 | 663 | 496981290961 . 25 | 97 | 720 | 832972004929 . PROG (Haskell) import Data.List (elemIndex); import Data.Maybe (fromJust) a258603 = (+ 1) . fromJust . (`elemIndex` a258571_list) . a000040 CROSSREFS Cf. a258571, A000040, A030516, A069493, A258599, A258600, A258601, A258602. Sequence in context: A226292 A026052 A049616 * A064960 A293503 A143689 Adjacent sequences: A258600 A258601 A258602 * A258604 A258605 A258606 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jun 06 2015 STATUS approved

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Last modified June 3 22:46 EDT 2023. Contains 363116 sequences. (Running on oeis4.)