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A160337 1 plus primes using only digits {0, 1, 2, 3, 5, 7}. 0
1, 2, 3, 5, 7, 11, 13, 17, 23, 31, 37, 53, 71, 73, 101, 103, 107, 113, 127, 131, 137, 151, 157, 173, 211, 223, 227, 233, 251, 257, 271, 277, 307, 311, 313, 317, 331, 337, 353, 373, 503, 521, 523, 557, 571, 577, 701, 727, 733, 751, 757, 773, 1013, 1021, 1031 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Since the first 5 primes numbers are 1,2,3,5,7 (1 included), so the rest of the numbers can be generated by using numbers from the set {0,1,2,3,5,7} as every digit must be a prime number as well.

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

For n = 3 the solutions are ... 1,2,3

PROG

(C++)

#include <iostream>

using namespace std;

bool isPrime(long n)

{

    if(n==0) return true;

    for(long i = 2; i<=n/2; i++) { if(n%i == 0) return false; }

    return true;

}

bool checkdigit(long n)

{

    long no = n;

    while(no>0)

    {

        long digit = no%10;

        if(digit==0) return false;

        else { if(!isPrime (digit)) return false; }

        no = no/10;

    }

    return true;

}

int main()

{

    long limit = 1000000000; int count =0;

    for(long i=1; i<=limit; i++)

    {

        if(isPrime(i) && checkdigit(i))

        { count++; cout<<i<<endl; }

        if(count == 100) { return 0; }

    }

    return 0;

}

CROSSREFS

Cf. A012884, A143390

Sequence in context: A143390 A038617 A036962 * A190222 A012884 A068669

Adjacent sequences:  A160334 A160335 A160336 * A160338 A160339 A160340

KEYWORD

nonn,base

AUTHOR

Mohit Singh Kanwal (mohit_kanwal(AT)hotmail.com), May 10 2009

STATUS

approved

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Last modified November 27 16:30 EST 2014. Contains 250240 sequences.