A144714 Left-truncatable primes that contain one or more zero digits.

103, 107, 307, 503, 607, 907, 1013, 1097, 1103, 1307, 1607, 1907, 2003, 2017, 2053, 2083, 2503, 3023, 3037, 3067, 3083, 3307, 3607, 3907, 4003, 4007, 4013, 4073, 5003, 5023, 5107, 5503, 6007, 6037, 6043, 6047, 6053, 6067, 6073, 6607, 6907, 7013, 7043

Offset

1,1

Comments

These are the terms in sequence A033664 that are not in A024785. This sequence is infinitely long.

Links

H. J. Smith, Table of n, a(n) for n = 1..10000

I. O. Angell and H. J. Godwin, On Truncatable Primes, Math. Comput. 31, 265-267, 1977.

H. J. Smith, Link to programs to generate truncatable primes.

Eric Weisstein's World of Mathematics, Truncatable Prime

Index entries for sequences related to truncatable primes

Prog

(PARI) zeroin(z)={until(z==0, q=z\10; r=z-10*q; if(r==0, return(1)); z=q; ); return(0); }
{fileO="b144714.txt"; v=vector(15000); v[1]=2; v[2]=3; v[3]=5; v[4]=7; j=4; m=0;
p10=1; until(0, p10*=10; j0=j; for(k=1, 9, k10=k*p10; for(i=1, j0, z=k10+v[i];
if(isprime(z), j++; v[j]=z; if(zeroin(z), m++;
write(fileO, m, " ", z); if(m==10000, break(3)); ))))); }

Crossrefs

Cf. A020994, A024770, A024785, A033664, A132394.

Sequence in context: A165294 A046076 A178527 * A140817 A274518 A066131

Adjacent sequences: A144711 A144712 A144713 * A144715 A144716 A144717

Keyword

nonn,base

Author

Harry J. Smith, Oct 08 2008

Status

approved