A241007 Decimal encoding of the prime factorization of a(n) is a prime.
3, 6, 7, 8, 13, 19, 20, 31, 35, 38, 40, 43, 44, 45, 56, 60, 63, 65, 68, 69, 96, 97, 103, 104, 109, 116, 119, 122, 125, 133, 138, 151, 157, 159, 160, 171, 174, 181, 189, 193, 204, 209, 211, 212, 215, 216, 220, 221, 232, 241, 248, 250, 254, 267, 271, 273, 280
Offset: 1
Examples
Prime factorization of a(4) = 8 is 2^3 and its decimal encoding is A067599(8) = 23 that is prime. Prime factorization of a(188) = 994 is 2^1*7^1*71^1 and its decimal encoding is A067599(994) = 2171711 that is prime.
Links
- Paolo P. Lava, Table of n, a(n) for n = 1..1000
Programs
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Maple
with(numtheory); P:=proc(q) local a,b,c,d,k,j,n; for n from 1 to q do a:=(ifactors(n)[2]); b:=[]; for k from 1 to nops(a) do b:=[op(b),a[k,1]]; od; b:=sort(b); c:=0; for k from 1 to nops(b) do d:=1; while b[k]<>a[d,1] do d:=d+1; od; j:=b[k]*10^(ilog10(a[d,2])+1)+a[d,2]; c:=c*10^(ilog10(j)+1)+j; od; if isprime(c) then print(n); fi; od; end: P(1000);
Formula
Sequence of the members of the set {k >= 2: A067599(k) is a prime} in increasing order. - Wolfdieter Lang, Aug 16 2014
Extensions
Edited: Name n-> a(n), cf. A067599, examples specified. - Wolfdieter Lang, Aug 16 2014
Comments