[seqfan] Comma-digit swap
Eric Angelini
Eric.Angelini at kntv.be
Tue Sep 27 17:28:41 CEST 2011
Hello Seqfans,
S = 21,12,32,91,33,1,72,111,92,231,132,272,291,273,14,15,4,34,...
P = 2,11,23,29,13,3,17,211,19,223,113,227,229,127,31,41,5,43,4...
S contains only non-primes which differ one from another;
P contains only primes which differ one from another;
and S becomes P if you permute each comma of S with its
closest digit on the left.
Is the above start of S the lexicographically first such one?
In building S we have obeyed these rules:
a) Write S and P with a(n) and a(n+1) only separated by a comma;
b) a(n) is the smallest non-prime not yet present in S such that
permuting the comma which follows a(n) with the last digit
of a(n) will produce a prime not yet present in P.
Best,
É.
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