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A291542
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a(n) = prime(n)^3 - prime(n) * prime(n^2).
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7
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4, 6, 10, -28, 264, 234, 1054, 950, 2530, 8700, 9300, 20054, 27552, 28208, 36754, 63070, 94518, 96258, 137484, 163300, 163958, 219620, 256138, 330190, 462884, 520150, 524270, 582294, 588600, 652236, 1086612, 1179000, 1374384, 1387220, 1828230, 1838274, 2092496, 2366760, 2529382, 2842390
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OFFSET
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1,1
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COMMENTS
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Same as prime(n) * A123914(n). See A123914 for other comments and formulas.
All terms are even.
For prime(n)^3 - prime(n^3) see A262199.
For prime(n) * prime(n^2) - prime(n^3) see A291541.
For PrimePi(n) * PrimePi(n^2) - PrimePi(n)^3 see A291540.
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LINKS
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FORMULA
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EXAMPLE
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a(4) = prime(4)^3 - prime(4) * prime(16) = 7^3 - 7*53 = -28.
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MAPLE
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seq(ithprime(n)^3 - ithprime(n)*ithprime(n^2), n=1..100); # Robert Israel, Sep 11 2017
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MATHEMATICA
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Table[ Prime[n]^3 - Prime[n] * Prime[n^2], {n, 40}]
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PROG
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(PARI) a(n) = prime(n)^3 - prime(n) * prime(n^2); \\ Michel Marcus, Sep 10 2017
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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