cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A276198 #7 Feb 16 2025 08:33:36
%S A276198 2,17,163,1619,16183,161807,1618033,16180349,161803403,1618033999,
%T A276198 16180339933,161803398917,1618033988749,16180339887557,
%U A276198 161803398874991,1618033988749901,16180339887498961,161803398874989661,1618033988749894853,16180339887498948503,161803398874989484891
%N A276198 Smallest prime >= decimal expansion of phi truncated to n places (A011551), where phi is the golden ratio (A001622).
%H A276198 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/NextPrime.html">Next Prime</a>
%H A276198 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldenRatio.html">Golden Ratio</a>
%H A276198 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Phi-Prime.html">Phi-Prime</a>
%H A276198 <a href="/index/Con#constant_primes">Index entries related to "constant primes"</a>
%F A276198 a(n) = A007918(A011551(n)).
%F A276198 a(n) = A000040(A000720(A011551(n)-1)+1).
%F A276198 a(A064119(n)-1) = A064117(n).
%e A276198 a(5) = 161807, since this is the smallest prime >= floor(phi*10^5) = 161803.
%e A276198 phi = 1.61803398874989484820458683436563811772...
%t A276198 Table[NextPrime[Floor[GoldenRatio 10^n] - 1], {n, 0, 20}]
%Y A276198 Cf. A000040, A000720, A001622, A007918, A011551, A064117, A064119.
%K A276198 nonn,base
%O A276198 0,1
%A A276198 _Ilya Gutkovskiy_, Aug 24 2016