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A263404 Smallest square containing the first n primes as substrings. 0

%I #29 Aug 30 2019 06:11:08

%S 25,324,3025,35721,11730625,71132356,1132591716,17136119025,

%T 1923311317225,58191311792329,58191311792329,231372178511929,

%U 1722376411319529,1134152319174379129,472643754131992311729,17298113195343723473641,419723711317595314724329,4319231361106417537475929

%N Smallest square containing the first n primes as substrings.

%C The sequence is infinite.

%e a(6) = 71132356 = 8464^2 contains 2, 3, 5, 7, 11 and 13 as substrings and no smaller square has that property.

%t Do[k = 1; While[! AllTrue[Prime@ Range@ n, StringContainsQ[ToString[k^2], ToString@ #] &], k++]; Print[k^2], {n, 9}] (* _Michael De Vlieger_, Oct 19 2015, Version 10 *)

%Y Cf. A054261, A069600.

%K nonn,base

%O 1,1

%A _Emmanuel Vantieghem_, Oct 17 2015

%E a(15)-a(16) from _Bert Dobbelaere_, Oct 28 2018

%E a(17)-a(18) from _Giovanni Resta_, Aug 27 2019

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Last modified April 16 12:52 EDT 2024. Contains 371711 sequences. (Running on oeis4.)