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Search: id:A118755
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| A118755 |
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Smallest prime >= 6*n. First prime after 6n. Bifurcation of A118751. |
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+0
1
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| 2, 7, 13, 19, 29, 31, 37, 43, 53, 59, 61, 67, 73, 79, 89, 97, 97, 103, 109, 127, 127, 127, 137, 139, 149, 151, 157, 163, 173, 179, 181, 191, 193, 199, 211, 211, 223, 223, 229, 239, 241, 251, 257, 263, 269, 271, 277, 283, 293, 307, 307
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Analogous to A060264 First prime after 2n; A118751 First prime after 3n (Strictly, "first prime after 3n" would have a(1) = 5; so the second definition of the sequence "least prime >= 3n" should explicitly altered to a(1) = 3 to maintain these analogies); A118753 First prime after 4n; A118753 First prime after 6n. "First prime after 6n" includes A002476 "primes of the form 6n+1" as a subset.
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FORMULA
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a(n) = min{A008588(n)+k such that k>0 and A008588(n)+k in A000040}.
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MATHEMATICA
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Prime[1+PrimePi[6Range[0, 50]]] - T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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CROSSREFS
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Cf. A000040, A002476, A008588, A060308, A060264, A118747-56.
Adjacent sequences: A118752 A118753 A118754 this_sequence A118756 A118757 A118758
Sequence in context: A063637 A020623 A109346 this_sequence A106011 A045375 A138042
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Apr 29 2006
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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