A218012 Decimal expansion of -sqrt(7) + sqrt(11), Andrica's Maximum A_n.

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

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