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 A218012 Decimal expansion of -sqrt(7) + sqrt(11), Andrica's Maximum A_n. 2
 6, 7, 0, 8, 7, 3, 4, 7, 9, 2, 9, 0, 8, 0, 9, 2, 5, 8, 6, 1, 3, 3, 1, 6, 9, 8, 3, 0, 3, 1, 4, 2, 6, 2, 5, 8, 2, 1, 6, 8, 2, 9, 3, 6, 2, 5, 0, 6, 9, 0, 3, 4, 1, 6, 6, 9, 0, 3, 4, 7, 6, 8, 6, 9, 1, 5, 4, 1, 5, 8, 1, 9, 3, 7, 8, 7, 6, 0, 2, 1, 8, 9, 4, 8, 4, 5, 0, 5, 1, 2, 6, 5, 3, 7, 4, 7, 0, 4, 0, 2, 9, 1, 9, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS For each consecutive prime pair, p and q with p < q, d = -sqrt(p) + sqrt(q) is unique. Place d in order from greatest to least and specify p. This is the maximum d. LINKS Table of n, a(n) for n=0..104. Titu Andreescu and Dorin Andrica, Number Theory, Structures, Examples, and Problems. Marek Wolf, A Note on the Andrica Conjecture, arXiv:1010.3945 [math.NT] (2010). EXAMPLE 0.670873479290809258613316983031426258216829362506903416690347686915... MATHEMATICA RealDigits[- Sqrt[7] + Sqrt[11], 10, 111][[1]] CROSSREFS Cf. A079296, A218014, A218015. Sequence in context: A227718 A198932 A010499 * A195714 A247043 A019734 Adjacent sequences: A218009 A218010 A218011 * A218013 A218014 A218015 KEYWORD cons,nonn AUTHOR Marek Wolf and Robert G. Wilson v, Oct 18 2012 STATUS approved

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Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)