A276198 Smallest prime >= decimal expansion of phi truncated to n places (A011551), where phi is the golden ratio (A001622).

2, 17, 163, 1619, 16183, 161807, 1618033, 16180349, 161803403, 1618033999, 16180339933, 161803398917, 1618033988749, 16180339887557, 161803398874991, 1618033988749901, 16180339887498961, 161803398874989661, 1618033988749894853, 16180339887498948503, 161803398874989484891

Offset

0,1

Links

Table of n, a(n) for n=0..20.

Eric Weisstein's World of Mathematics, Next Prime

Eric Weisstein's World of Mathematics, Golden Ratio

Eric Weisstein's World of Mathematics, Phi-Prime

Index entries related to "constant primes"

Formula

a(n) = A007918(A011551(n)).

a(n) = A000040(A000720(A011551(n)-1)+1).

a(A064119(n)-1) = A064117(n).

Example

a(5) = 161807, since this is the smallest prime >= floor(phi*10^5) = 161803.
phi = 1.61803398874989484820458683436563811772...

Mathematica

Table[NextPrime[Floor[GoldenRatio 10^n] - 1], {n, 0, 20}]

Crossrefs

Cf. A000040, A000720, A001622, A007918, A011551, A064117, A064119.

Sequence in context: A241135 A112321 A362477 * A178806 A197864 A231616

Adjacent sequences: A276195 A276196 A276197 * A276199 A276200 A276201

Keyword

nonn,base

Author

Ilya Gutkovskiy, Aug 24 2016

Status

approved