A119416 - OEIS

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A119416

n * (smallest prime greater than largest prime factor of n).

3

2, 6, 15, 12, 35, 30, 77, 24, 45, 70, 143, 60, 221, 154, 105, 48, 323, 90, 437, 140, 231, 286, 667, 120, 175, 442, 135, 308, 899, 210, 1147, 96, 429, 646, 385, 180, 1517, 874, 663, 280, 1763, 462, 2021, 572, 315, 1334, 2491, 240, 539, 350, 969, 884, 3127, 270

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OFFSET

1,1

COMMENTS

a(n) = n * A117366(n);

A000005(a(n)) = 2*A000005(n) = A062011(n).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = n * A151800(A006530(n)). - Reinhard Zumkeller, Apr 06 2015

EXAMPLE

a(10) = (2*5)*7.

MATHEMATICA

Insert[Table[n*Prime[PrimePi[FactorInteger[n][[ -1]][[1]]] + 1], {n, 2, 100}], 2, 1] (* Stefan Steinerberger, May 18 2006 *)

PROG

(Haskell)

a119416 n = n * (a151800 $ a006530 n) -- Reinhard Zumkeller, Apr 06 2015

CROSSREFS

Cf. A006530, A087560.

Sequence in context: A215081 A348592 A337737 * A134891 A020947 A011777

Adjacent sequences: A119413 A119414 A119415 * A119417 A119418 A119419

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 17 2006

STATUS

approved