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A258599 Smallest number m such that A001694(m) = prime(n)^2. 8
2, 4, 6, 10, 16, 20, 28, 31, 39, 48, 51, 65, 71, 75, 84, 94, 107, 110, 120, 129, 133, 145, 152, 163, 180, 187, 191, 199, 202, 212, 238, 246, 258, 261, 282, 286, 297, 309, 319, 330, 342, 344, 366, 372, 377, 382, 407, 431, 440, 443, 450, 463, 468, 487, 498 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A001694(a(n)) = A001248(n) = prime(n)^2;

A001694(m) mod prime(n) > 0 for m < a(n);

also smallest number m such that A258567(m) = prime(n):

A258567(a(n)) = A000040(n) and A258567(m) != A000040(n) for m < a(n).

LINKS

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

EXAMPLE

.   n |  p |  a(n) | A001694(a(n)) = A001248(n) = p^2

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

.   1 |  2 |     2 |             4

.   2 |  3 |     4 |             9

.   3 |  5 |     6 |            25

.   4 |  7 |    10 |            49

.   5 | 11 |    16 |           121

.   6 | 13 |    20 |           169

.   7 | 17 |    28 |           289

.   8 | 19 |    31 |           361

.   9 | 23 |    39 |           529

.  10 | 29 |    48 |           841

.  11 | 31 |    51 |           961

.  12 | 37 |    65 |          1369

.  13 | 41 |    71 |          1681

.  14 | 43 |    75 |          1849

.  15 | 47 |    84 |          2209

.  16 | 53 |    94 |          2809

.  17 | 59 |   107 |          3481

.  18 | 61 |   110 |          3721

.  19 | 67 |   120 |          4489

.  20 | 71 |   129 |          5041

.  21 | 73 |   133 |          5329

.  22 | 79 |   145 |          6241

.  23 | 83 |   152 |          6889

.  24 | 89 |   163 |          7921

.  25 | 97 |   180 |          9409  .

PROG

(Haskell)

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

a258599 = (+ 1) . fromJust . (`elemIndex` a258567_list) . a000040

CROSSREFS

Cf. A258567, A000040, A001248, A001694, A258600, A258601, A258602, A258603.

Sequence in context: A073805 A301374 A130320 * A101176 A192447 A131882

Adjacent sequences:  A258596 A258597 A258598 * A258600 A258601 A258602

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jun 06 2015

STATUS

approved

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Last modified September 16 18:24 EDT 2019. Contains 327116 sequences. (Running on oeis4.)