cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Gilberto Garcia-Pulgarin

Gilberto Garcia-Pulgarin's wiki page.

Gilberto Garcia-Pulgarin has authored 2 sequences.

A036429 Primes related to Carmichael numbers of the form pqr, p

Original entry on oeis.org

17, 79, 353, 389, 631, 769, 1459, 1559, 2389, 2837
Offset: 0

Keywords

References

  • G Garcia-Pulgarin, Numeros de Carmichael producto de tres primos.

A051663 Primes p such that there is no Carmichael number pqr, p

Original entry on oeis.org

2, 11, 197, 1223, 1487, 4007, 4547, 7823, 9833, 9839, 10259, 11483, 11807, 11909, 13259, 13967, 14207, 15629, 15803, 16139, 16889, 18287, 19583, 22367, 23039, 23879, 24359, 25349, 29339, 30707, 32027, 33343, 34883, 36929, 38747
Offset: 1

Author

Keywords

Examples

			2 is a term since there is no Carmichael number of the form 2rq.
		

References

  • Gilberto Garcia-Pulgarin, Numeros de Carmichael producto de tes primos, preprint, 1999.

Programs

  • PARI
    is(p) = {
        for( A=1, p-1,
            my(B=ceil((p^2+1)/A),q,r);
            while(1,
                r=(B*(p+A-1)-p)/(A*B-p*p);
                q=(A*r-A+1)/p;
                if(p>=q, break);
                if(denominator(q)==1 && denominator(r)==1 && r>q && (q*r)%(p-1)==1 && isprime(q) && isprime(r), return(0));
                B++
            )
        );
        1
    }; \\ Charles R Greathouse IV, Feb 23 2013

Extensions

Edited by Jack Brennen, Jul 01 2008
Corrected by Emmanuel Vantieghem, Nov 26 2012