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A033286
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a(n) = n * prime(n).
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22
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2, 6, 15, 28, 55, 78, 119, 152, 207, 290, 341, 444, 533, 602, 705, 848, 1003, 1098, 1273, 1420, 1533, 1738, 1909, 2136, 2425, 2626, 2781, 2996, 3161, 3390, 3937, 4192, 4521, 4726, 5215, 5436, 5809, 6194, 6513, 6920, 7339, 7602, 8213, 8492, 8865, 9154, 9917
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OFFSET
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1,1
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COMMENTS
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Does an n exist such that n*prime(n)/(n+prime(n)) is an integer? - Ctibor O. Zizka, Mar 04 2008. The answer to Zizka's question is easily seen to be No: such an integer k would be positive and less than prime(n), but then k*(n + prime(n)) = prime(n)*n would be impossible. - Robert Israel, Apr 20 2015
Sums of rows of the triangle in A005145. - Reinhard Zumkeller, Aug 05 2009
Complement of A171520(n). - Jaroslav Krizek, Dec 13 2009
Partial sums of A090942. - Omar E. Pol, Apr 20 2015
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Albert Frank, International Contest Of Logical Sequences, 2002 - 2003. Item 1
Albert Frank, Solutions of International Contest Of Logical Sequences, 2002 - 2003.
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FORMULA
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a(n) = n * A000040(n) = n * A008578(n+1) = n * A158611(n+2). - Jaroslav Krizek, Aug 31 2009
a(n) = A007504(n) + A152535(n). - Omar E. Pol, Aug 09 2012
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MAPLE
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A033286 := proc(n) n*ithprime(n) ; end proc:
seq(A033286(n), n=1..20) ; # R. J. Mathar, Mar 21 2011
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MATHEMATICA
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Table[Prime[n]*n, {n, 38}] (* Alonso del Arte *)
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PROG
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(Mupad) ithprime(i)*i $ i = 1..47 // Zerinvary Lajos, Feb 26 2007
(MAGMA) [ n*NthPrime(n): n in [1..47] ]; // Klaus Brockhaus, Sep 09 2009
(PARI) a(n)=n*prime(n) \\ Charles R Greathouse IV, Jul 01 2013
(Haskell)
a033286 n = a000040 n * n -- Reinhard Zumkeller, Jul 24 2013
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CROSSREFS
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Cf. A000040, A007504, A014689, A090942, A141042, A152535.
Sequence in context: A256313 A138621 A163061 * A182724 A098651 A087427
Adjacent sequences: A033283 A033284 A033285 * A033287 A033288 A033289
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Correction for change of offset in A158611 and A008578 in Aug 2009 from Jaroslav Krizek, Jan 27 2010
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STATUS
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approved
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