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A358900
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Primes prime(k) such that prime(k)^prime(k) > prime(k-1)^prime(k+1).
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2
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5, 11, 29, 149, 1151, 1277, 1931, 1949, 2129, 2237, 2267, 2999, 3251, 3299, 3821, 4049, 4481, 4547, 4721, 5501, 6197, 6449, 6761, 6947, 8999, 9461, 9719, 10007, 10037, 10427, 10937, 11351, 11549, 11777, 12071, 13217, 13829, 13997, 14591, 15727, 16183, 17291
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OFFSET
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1,1
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LINKS
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EXAMPLE
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For k = 3, we have prime(2) = 2, prime(3) = 5, prime(4) = 7, and 3125 = 5^5 > 3^7 = 2187.
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MATHEMATICA
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p[n_] := Prime[n];
u = Select[1 + Range[3000], p[#]^p[#] > p[# - 1]^p[# + 1] &] (* A358899 *)
Select[Partition[Prime[Range[2000]], 3, 1], #[[2]]^#[[2]]>#[[1]]^#[[3]]&][[;; , 2]] (* Harvey P. Dale, Oct 12 2023 *)
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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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