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2, 3, 4, 5, 9, 7, 8, 9, 25, 11, 8, 13, 25, 25, 16, 17, 27, 19, 8, 25, 49, 23, 16, 25, 121, 27, 8, 29, 27, 31, 32, 49, 121, 49, 81, 37, 121, 121, 16, 41, 27, 43, 8, 27, 169, 47, 32, 49, 125, 121, 8, 53, 81, 121, 16, 121, 289, 59, 81, 61, 289, 27, 64, 121, 27, 67, 8, 169, 125
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OFFSET
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2,1
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COMMENTS
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a(n) is by definition the power of a prime. It coincides with n iff n is also a power of prime (A246655).
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LINKS
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FORMULA
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EXAMPLE
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a(308) = 5^4 because Omega(308)=4 and the median of [2, 2, 7, 11] is (2+7)/2 = 4.5, whose next prime is 5. See A273290 for other examples.
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MATHEMATICA
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Table[If[PrimeQ@ #, #, NextPrime@ #] &[Median@ #]^Length@ # &@ Flatten@ Apply[Table[#1, {#2}] &, FactorInteger@ n, 1], {n, 2, 70}] (* Michael De Vlieger, May 27 2016 *)
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PROG
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(Sage) def r(n): return [f[0] for f in factor(n) for _ in range(f[1])]
[next_prime(ceil(median(r(n)))-1)^sloane.A001222(n) for n in (2..70)]
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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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