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Search: id:A084736
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| A084736 |
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a(1) = 2, a(2) = 3; for n > 0, a(n+2) is the smallest prime chosen so that {a(n+2) - a(n+1)}/{a(n+1) - a(n)} is an integer (i.e. successive differences are multiples of the previous difference). |
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1
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| 2, 3, 5, 7, 11, 19, 43, 67, 139, 211, 283, 499, 1579, 2659, 3739, 8059, 12379, 16699, 21019, 25339, 38299, 103099, 167899, 232699, 491899, 1787899, 9563899, 17339899, 25115899, 40667899, 71771899, 196187899, 818267899, 4550747899, 15748187899
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OFFSET
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1,1
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EXAMPLE
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43, 67 and 139 are three successive terms and (139-67)/(67-43) = 3.
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MATHEMATICA
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a[0] = 2; a[1] = 3; a[n_] := a[n] = Block[{k = 1}, While[ !PrimeQ[ k( a[n - 1] - a[n - 2]) + a[n - 1]], k++ ]; k(a[n - 1] - a[n - 2]) + a[n - 1]]; Table[ a[n], {n, 0, 34}]
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CROSSREFS
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Sequence in context: A071062 A002231 A087769 this_sequence A089472 A079429 A072299
Adjacent sequences: A084733 A084734 A084735 this_sequence A084737 A084738 A084739
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 14 2003
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com) and Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 17 2003
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