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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: A233274 A336980 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 February 2 05:15 EST 2023. Contains 359997 sequences. (Running on oeis4.)