A287311 Primes that can be generated by the concatenation in base 8, in descending order, of two consecutive integers read in base 10.

17, 53, 71, 1039, 1429, 1559, 1949, 2339, 2729, 3119, 3769, 4159, 33857, 34883, 40013, 41039, 48221, 50273, 54377, 58481, 61559, 63611, 69767, 70793, 74897, 76949, 84131, 86183, 89261, 96443, 100547, 101573, 104651, 106703, 110807, 111833, 112859, 117989, 120041

Offset: 1

Author

Paolo P. Lava, May 24 2017

Keywords

• nonn
• base
• easy

Examples

			1 and 2 in base 8 are 1 and 2 and concat(2,1) = 21 in base 10 is 17;
7 and 8 in base 8 are 7 and 10 and concat(10,7) = 107 in base 10 is 71.
		

Crossrefs

Cf. A000040, A052089.

Programs

Maple

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,8),i=0..1000);

Mathematica

With[{b = 8}, Select[Map[FromDigits[Flatten@ IntegerDigits[#, b], b] &, Reverse /@ Partition[Range[0, 250], 2, 1]], PrimeQ]] (* Michael De Vlieger, May 25 2017 *)