A258603 Smallest number m such that A069493(m) = prime(n)^6.

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

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