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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258601 Smallest number m such that A036967(m) = prime(n)^4. 8
2, 5, 10, 16, 28, 37, 55, 61, 80, 105, 112, 140, 160, 165, 183, 209, 236, 244, 265, 283, 289, 316, 335, 360, 389, 408, 414, 430, 435, 452, 505, 520, 542, 549, 589, 598, 613, 637, 651, 675, 697, 701, 737, 743, 754, 765, 806, 844, 866, 870, 880, 899, 908, 940 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A036967(a(n)) = A030514(n) = prime(n)^4;

A036967(m) mod prime(n) > 0 for m < a(n);

also smallest number m such that A258569(m) = prime(n):

A258569(a(n)) = A000040(n) and A258569(m) != A000040(n) for m < a(n).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

EXAMPLE

.   n |  p |  a(n) | A036967(a(n)) = A030514(n) = p^4

. ----+----+-------+---------------------------------

.   1 |  2 |     2 |            16

.   2 |  3 |     5 |            81

.   3 |  5 |    10 |           625

.   4 |  7 |    16 |          2401

.   5 | 11 |    28 |         14641

.   6 | 13 |    37 |         28561

.   7 | 17 |    55 |         83521

.   8 | 19 |    61 |        130321

.   9 | 23 |    80 |        279841

.  10 | 29 |   105 |        707281

.  11 | 31 |   112 |        923521

.  12 | 37 |   140 |       1874161

.  13 | 41 |   160 |       2825761

.  14 | 43 |   165 |       3418801

.  15 | 47 |   183 |       4879681

.  16 | 53 |   209 |       7890481

.  17 | 59 |   236 |      12117361

.  18 | 61 |   244 |      13845841

.  19 | 67 |   265 |      20151121

.  20 | 71 |   283 |      25411681

.  21 | 73 |   289 |      28398241

.  22 | 79 |   316 |      38950081

.  23 | 83 |   335 |      47458321

.  24 | 89 |   360 |      62742241

.  25 | 97 |   389 |      88529281

PROG

(Haskell)

import Data.List (elemIndex); import Data.Maybe (fromJust)

a258601 = (+ 1) . fromJust . (`elemIndex` a258569_list) . a000040

CROSSREFS

Cf. a258569, A000040, A030514, A036967, A258599, A258600, A258602, A258603.

Sequence in context: A079984 A027613 A192701 * A264300 A326763 A067112

Adjacent sequences:  A258598 A258599 A258600 * A258602 A258603 A258604

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 October 16 15:31 EDT 2019. Contains 328101 sequences. (Running on oeis4.)