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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.

A287307 Primes that can be generated by the concatenation in base 6, in descending order, of two consecutive integers read in base 10.

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%I A287307 #8 May 24 2017 09:14:07
%S A287307 13,41,443,739,887,1109,9547,11717,14321,16057,17359,18661,19963,
%T A287307 22133,22567,23869,25171,28643,29077,31247,32983,33851,35153,40361,
%U A287307 43399,44267,44701,45569,287933,290527,303497,306091,311279,319061,337219,345001,389099,391693
%N A287307 Primes that can be generated by the concatenation in base 6, in descending order, of two consecutive integers read in base 10.
%e A287307 1 and 2 in base 6 are 1 and 2 and concat(2,1) = 21 in base 10 is 13;
%e A287307 5 and 6 in base 6 are 5 and 10 and concat(10,5) = 105 in base 10 is 41.
%p A287307 with(numtheory): P:= proc(q,h) local a,b,c,d,k,n; a:=convert(q+1,base,h); b:=convert(q,base,h); c:=[op(a),op(b)]; d:=0; for k from nops(c) by -1 to 1 do d:=h*d+c[k]; od; if isprime(d) then d; fi; end: seq(P(i,6),i=0..1000);
%t A287307 With[{b = 6}, Select[Map[FromDigits[Flatten@ IntegerDigits[#, b], b] &, Reverse /@ Partition[Range[0, 302], 2, 1]], PrimeQ]] (* _Michael De Vlieger_, May 23 2017 *)
%Y A287307 Cf. A000040, A052089.
%K A287307 nonn,base,easy
%O A287307 1,1
%A A287307 _Paolo P. Lava_, May 23 2017