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Search: id:A074174
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| A074174 |
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Smallest number k such that k and k+n are of the form p^2*q where p and q are primes. |
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+0
4
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| 44, 18, 172, 171, 45, 12, 45, 12, 236, 18, 52, 63, 50, 261, 524, 12, 28, 45, 44, 637, 404, 28, 45, 20, 20, 18, 18, 147, 63, 20, 44, 12, 12, 18, 28, 63, 116, 12, 236, 12, 75, 50, 20, 325, 18, 52, 28, 20, 50, 18, 12, 423, 45, 44, 20, 12, 18, 18, 116, 147, 63, 325, 12, 12, 52
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(2) = 18 as 18 = 3^2*2 and 18 +2 =20 = 2^2*5.
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MATHEMATICA
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Table[k=1; found=False; While[ !found, k++; f1=FactorInteger[k]; If[Sort[Transpose[f1][[2]]]=={1, 2}, f2=FactorInteger[k+n]; If[Sort[Transpose[f2][[2]]]=={1, 2}, found=True]]]; k, {n, 100}]
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CROSSREFS
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Cf. A074172, A074173, A054753.
Sequence in context: A037939 A040010 A074175 this_sequence A033977 A033364 A108213
Adjacent sequences: A074171 A074172 A074173 this_sequence A074175 A074176 A074177
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 30 2002
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EXTENSIONS
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Corrected and extended by T. D. Noe (noe(AT)sspectra.com), Oct 04 2004
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