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A090530 Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists. 1
4, 6, 30, 42, 198, 312, 102, 228, 138, 348, 1302, 1998, 1230, 1032, 282, 6360, 1062, 15738, 1608, 1278, 6132, 10428, 4482, 4272, 11058, 4242, 618, 642, 5232, 2712, 18288, 3930, 822, 1668, 1788, 11778, 3768, 5868, 5010, 9342, 23628, 3258, 17190 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

a(n) is a multiple of 6*prime(n) for n>2. Conjecture: No term is zero.

EXAMPLE

a(5) = 198 = 11*18, (197,199) forms a twin prime pair.

MATHEMATICA

For[n = 1, n < 40, n++, a := Prime[n]; k := 2; While[Not[PrimeQ[k*a + 1] && PrimeQ[k*a - 1]], k += 2]; Print[k*a]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 17 2006

CROSSREFS

Cf. A090531.

Sequence in context: A142859 A056221 A046849 * A154667 A093121 A075590

Adjacent sequences:  A090527 A090528 A090529 * A090531 A090532 A090533

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 07 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Dec 21 2005

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 17 2006

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Last modified February 17 04:46 EST 2012. Contains 205985 sequences.