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A242299
a(n) is the smallest composite number ending in 1, 3, 7, or 9 with n digits whose first n-1 digits are a(n-1).
0
9, 91, 913, 9131, 91311, 913111, 9131111, 91311111, 913111111, 9131111111, 91311111111, 913111111113, 9131111111131, 91311111111311, 913111111113111, 9131111111131111, 91311111111311111, 913111111113111111, 9131111111131111111, 91311111111311111111
OFFSET
1,1
COMMENTS
Question: do only a finite number of terms end in a digit other than 1?
Question: is the sequence infinite?
EXAMPLE
911 is not a(3) because 911 is prime.
PROG
(PARI) lista(nn) = {vi = [1, 3, 7, 9]; a = 9; print1(a, ", "); for (n=1, nn, ok = 0; for (i=1, #vi, if (!isprime(na = eval(concat(Str(a), Str(vi[i])))), ok = 1; break; ); ); if (!ok, print("end of sequence"); return(); ); a = na; print1(a, ", "); ); } \\ Michel Marcus, May 11 2014
CROSSREFS
Sequence in context: A014992 A015585 A366393 * A109108 A163456 A318593
KEYWORD
nonn,base
AUTHOR
J. Lowell, May 10 2014
EXTENSIONS
More terms from Michel Marcus, May 11 2014
STATUS
approved