login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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