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A287302
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Primes that can be generated by the concatenation in base 4, in ascending order, of two consecutive integers read in base 10.
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0
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11, 103, 137, 239, 1171, 1301, 1951, 2081, 2341, 2731, 2861, 3121, 3251, 3511, 16963, 17477, 20047, 21589, 23131, 26729, 30841, 34439, 40093, 43177, 43691, 45233, 46261, 60139, 61681, 63737, 270601, 272651, 278801, 291101, 295201, 297251, 315701, 321851, 325951
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..39.
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EXAMPLE
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2 and 3 in base 4 are 2 and 3 and concat(2,3) = 23 in base 10 is 11;
6 and 7 in base 4 are 12 and 13 and concat(12,13) = 1213 in base 10 is 103.
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MAPLE
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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, 4), i=1..1000);
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MATHEMATICA
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With[{b = 4}, Select[Map[FromDigits[Flatten@ IntegerDigits[#, b], b] &, Partition[Range@ 320, 2, 1]], PrimeQ]] (* Michael De Vlieger, May 23 2017 *)
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CROSSREFS
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Cf. A000040, A030458.
Sequence in context: A099294 A081552 A156948 * A141915 A016133 A287833
Adjacent sequences: A287299 A287300 A287301 * A287303 A287304 A287305
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KEYWORD
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nonn,base,easy
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AUTHOR
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Paolo P. Lava, May 23 2017
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STATUS
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approved
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