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.

A034818 Concatenations C1 and C2 and C3 are all prime (see the comment lines).

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%I A034818 #8 Oct 06 2019 18:17:54
%S A034818 657,4929,10647,18291,20907,22653,27381,28053,28671,42471,48441,57363,
%T A034818 69651,79569,89853,93261,95967,101283,110763,119481,128613,145719,
%U A034818 149409,174993,201417,204861,205329,221883,248391,269199,272799,293451
%N A034818 Concatenations C1 and C2 and C3 are all prime (see the comment lines).
%C A034818 C1 = 'nextprime(n) followed by n'
%C A034818 C2 = 'n followed by prevprime(n)'
%C A034818 C3 = 'nextprime(n) followed by n followed by prevprime(n)'
%e A034818 n=95967 -> next prime is 95971, previous prime is 95959, thus '9597195967' and '9596795959' and '959719596795959' are all three primes.
%t A034818 ccatQ[n_]:=Module[{idn=IntegerDigits[n],pp=IntegerDigits[NextPrime[n,-1]], np= IntegerDigits[ NextPrime[n]]}, And@@PrimeQ[{FromDigits[ Join[np, idn]], FromDigits[Join[idn,pp]],FromDigits[Join[np,idn,pp]]}]]; Select[ Range[300000],ccatQ] (* _Harvey P. Dale_, Sep 09 2011 *)
%Y A034818 Cf. A034808-A034821.
%K A034818 nonn,base
%O A034818 0,1
%A A034818 _Patrick De Geest_, Oct 15 1998