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A072456 Annihilating primes for A000522. 5
3, 7, 11, 17, 47, 53, 61, 67, 73, 79, 89, 101, 139, 151, 157, 191, 199, 229, 233, 241, 263, 269, 277, 283, 311, 317, 337, 347, 359, 367, 379, 397, 433, 449, 467, 487, 503, 521, 541, 563, 569, 571, 577, 593, 607, 613, 619, 647, 659, 673, 683, 691, 727, 743, 769, 773, 809, 823, 827, 911, 919, 929, 953, 971, 991 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Primes p such that A072453(p) = 0.

REFERENCES

C. Cobeli and A. Zaharescu, Promenade around Pascal Triangle-Number Motives, Bull. Math. Soc. Sci. Math. Roumanie, Tome 56(104) No. 1, 2013, 73-98; http://rms.unibuc.ro/bulletin/pdf/56-1/PromenadePascalPart1.pdf. - From N. J. A. Sloane, Feb 16 2013

LINKS

Table of n, a(n) for n=0..64.

Lorenz Halbeisen and Norbert Hungerbuehler, Number theoretic aspects of a combinatorial function, Notes on Number Theory and Discrete Mathematics 5 (1999) 138-150. (ps, pdf)

Wikipedia, Annihilating primes

PROG

(Perl) use warnings;

  use strict;

  use ntheory ":all";

  use Math::GMPz;

  use Memoize;  memoize 'a000522';

  sub a000522 {

    my($n, $sum, $fn) = (shift, 0, Math::GMPz->new(1));

    do {  $sum += $fn;  $fn *= ($n-$_);  } for 0 .. $n;

    $sum;

  }

  sub a072453 {

    my $n = shift;

    vecsum( map { a000522($_) % $n == 0 } 0 .. $n-1 );

  }

  forprimes { print "$_\n" unless a072453($_) } 1000;

# Dana Jacobsen, Feb 16 2016

CROSSREFS

Cf. A000522, A072453.

Sequence in context: A190898 A142248 A045421 * A138659 A020590 A063437

Adjacent sequences:  A072453 A072454 A072455 * A072457 A072458 A072459

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 02 2002

EXTENSIONS

More terms from Vladeta Jovovic, Aug 02 2002

STATUS

approved

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Last modified December 8 12:55 EST 2016. Contains 278945 sequences.