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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 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 7 03:42 EST 2016. Contains 278840 sequences.