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A144714 Left-truncatable primes that contain one or more zero digits. +0
1
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 (list; graph; listen)
OFFSET

1,1

COMMENT

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

REFERENCES

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

LINKS

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

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

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to truncatable primes

PROGRAM

(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.

Adjacent sequences: A144711 A144712 A144713 this_sequence A144715 A144716 A144717

Sequence in context: A161402 A165294 A046076 this_sequence A140817 A066131 A095639

KEYWORD

nonn

AUTHOR

Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008

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Last modified November 3 12:59 EST 2009. Contains 165766 sequences.


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