A090124 a(n) is the least positive n-th power integer such that nextprime[a(n)]-prevprime[a(n)]=q-p-4;.

5, 4, 8, 16, 11727599043051, 54980371265625, 128, 557556054479199010816, 22027845102081762861, 162889462677744140625, 803596764671634487466709, 14231716419191575233132742871310396257144854491849

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

n=4:a(n)=16,{p=13,16=4^4,q=17}

Mathematica

Table[fla=1; Do[If[((PrimeQ[s=n^k-3]&&PrimeQ[s1=n^k+1]) ||(PrimeQ[s=n^k-2]&&PrimeQ[s1=n^k+2])||(PrimeQ[s=n^k-1] &&PrimeQ[s1=n^k+3]))&&Equal[fla, 1]&&!Equal[n, 1], Print[n^k]; fla=0], {n, 1, 1000000}], {k, 1, 60}]

Crossrefs

Cf. A090121-A090125.

Sequence in context: A160427 A343244 A215337 * A338346 A097943 A241420

Adjacent sequences: A090121 A090122 A090123 * A090125 A090126 A090127

Keyword

nonn

Author

Labos Elemer, Jan 12 2004

Status

approved