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.

A166550 Numbers n with property that n^2 and n-th prime have the same sum of digits.

This page as a plain text file.
%I A166550 #6 May 22 2015 12:05:46
%S A166550 4,8,11,22,34,59,61,85,179,229,260,266,352,385,391,403,418,440,491,
%T A166550 565,595,619,724,770,832,844,961,965,980,1012,1039,1069,1075,1099,
%U A166550 1108,1127,1139,1148,1211,1217,1390,1468,1585,1589,1649,1747,1780,1789,1795,1799
%N A166550 Numbers n with property that n^2 and n-th prime have the same sum of digits.
%C A166550 A007605(n)=A004159(n).
%H A166550 Harvey P. Dale, <a href="/A166550/b166550.txt">Table of n, a(n) for n = 1..1000</a>
%e A166550 4^2=16, prime(4)=7, 1+6=7
%e A166550 8^2=64, prime(8)=19, 6+4=1+9
%e A166550 11^2=121, prime(11)=31, 1+2+1=3+1
%e A166550 22^2=484, prime(22)=79, 4+8+4=7+9
%e A166550 34^2=1156, prime(22)=139, 1+1+5+6=1+3+9.
%t A166550 Position[Table[Plus@@IntegerDigits[Prime[n]]-Plus@@IntegerDigits[n^2],{n,1,3000}],0]//Flatten
%t A166550 Select[Range[2000],Total[IntegerDigits[#^2]]==Total[IntegerDigits[ Prime[ #]]]&] (* _Harvey P. Dale_, May 22 2015 *)
%Y A166550 Cf. A117224 Numbers for which the square and the cube have the same digital sum, A007605 Sum of digits of n-th prime, A004159 Sum of digits of n^2.
%K A166550 base,nonn
%O A166550 1,1
%A A166550 _Zak Seidov_, Oct 16 2009