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A258602
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Smallest number m such that A069492(m) = prime(n)^5.
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8
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2, 5, 12, 20, 37, 45, 68, 82, 106, 142, 153, 194, 215, 227, 251, 290, 321, 336, 373, 395, 408, 442, 463, 499, 542, 566, 573, 600, 612, 634, 709, 728, 758, 769, 819, 831, 860, 895, 916, 947, 971, 980, 1034, 1043, 1057, 1069, 1131, 1190, 1208, 1219, 1240, 1265
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listen;
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OFFSET
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1,1
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COMMENTS
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A069492(m) mod prime(n) > 0 for m < a(n);
also smallest number m such that A258570(m) = prime(n):
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LINKS
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EXAMPLE
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. ----+----+-------+---------------------------------
. 1 | 2 | 2 | 32
. 2 | 3 | 5 | 243
. 3 | 5 | 12 | 3125
. 4 | 7 | 20 | 16807
. 5 | 11 | 37 | 161051
. 6 | 13 | 45 | 371293
. 7 | 17 | 68 | 1419857
. 8 | 19 | 82 | 2476099
. 9 | 23 | 106 | 6436343
. 10 | 29 | 142 | 20511149
. 11 | 31 | 153 | 28629151
. 12 | 37 | 194 | 69343957
. 13 | 41 | 215 | 115856201
. 14 | 43 | 227 | 147008443
. 15 | 47 | 251 | 229345007
. 16 | 53 | 290 | 418195493
. 17 | 59 | 321 | 714924299
. 18 | 61 | 336 | 844596301
. 19 | 67 | 373 | 1350125107
. 20 | 71 | 395 | 1804229351
. 21 | 73 | 408 | 2073071593
. 22 | 79 | 442 | 3077056399
. 23 | 83 | 463 | 3939040643
. 24 | 89 | 499 | 5584059449
. 25 | 97 | 542 | 8587340257 .
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PROG
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(Haskell)
import Data.List (elemIndex); import Data.Maybe (fromJust)
a258602 = (+ 1) . fromJust . (`elemIndex` a258570_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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