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A258599
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a(n) is the index m such that A001694(m) = prime(n)^2.
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8
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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
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OFFSET
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1,1
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LINKS
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FORMULA
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A001694(m) mod prime(n) > 0 for m < a(n).
Also smallest number m such that A258567(m) = prime(n):
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EXAMPLE
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. ----+----+-------+---------------------------------
. 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 .
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MATHEMATICA
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With[{m = 60}, c = Select[Range[Prime[m]^2], Min[FactorInteger[#][[;; , 2]]] > 1 &]; 1 + Flatten[FirstPosition[c, #] & /@ (Prime[Range[m]]^2)]] (* Amiram Eldar, Feb 07 2023 *)
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PROG
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(Haskell)
import Data.List (elemIndex); import Data.Maybe (fromJust)
a258599 = (+ 1) . fromJust . (`elemIndex` a258567_list) . a000040
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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