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

Author

Harry J. Smith, Oct 08 2008

Keywords

• nonn
• base

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

Crossrefs

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

Programs

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));)))));}