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.

A052073 Primes p with the property that nextprime(p) is a substring of p^2.

This page as a plain text file.
%I A052073 #29 Feb 19 2024 01:58:34
%S A052073 23,83,113,1123,200003,328127,381289,714597769,4916552822383
%N A052073 Primes p with the property that nextprime(p) is a substring of p^2.
%C A052073 a(10) > 4*10^13. The prime 482564152712479922509389813571 is also a term. - _Giovanni Resta_, May 24 2018
%e A052073 381289 is a term because nextprime(381289) = 381301 is a substring of 381289^2 = 145381301521.
%t A052073 Select[Prime@Range[1000000],
%t A052073 StringContainsQ[ToString[#^2], ToString[NextPrime[#]]] &] (* _Robert Price_, Oct 12 2019 *)
%Y A052073 Cf. A052074, A052075, A052076.
%K A052073 nonn,base,more
%O A052073 1,1
%A A052073 _Patrick De Geest_, Jan 15 2000
%E A052073 a(8) from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Sep 04 2006
%E A052073 a(9) from _Giovanni Resta_, May 24 2018