Add to ORKGAbstract. This paper will look at the binomial coefficients di-visible by the prime number 2. The paper will seek to understand and explain a case when each entry in a row of Pascal’s triangle will be divisible by one of two primes, 2 and r
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
AbstractIt is known that for sufficiently large n and m and any r the binomial coefficient (nm) whic...
In this note we present several unusual problems involving divisibility of the binomial coefficients...
AbstractA geometrical approach to divisibility properties of binomial coefficients has been applied ...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
AbstractThe Lucas theorem for binomial coefficients implies some interesting tensor product properti...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
In this paper problems 14, 15, 29, 30, 34, 78, 83, 97, and 116 from [6] are formalized, using the Mi...
In this paper generator and verification algorithms for prime k-tuples based on the the divisibility...
Abstract. In 1947 Fine obtained an expression for the number ap(n) of bi-nomial coefficients on row ...
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
AbstractIt is known that for sufficiently large n and m and any r the binomial coefficient (nm) whic...
In this note we present several unusual problems involving divisibility of the binomial coefficients...
AbstractA geometrical approach to divisibility properties of binomial coefficients has been applied ...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
AbstractThe Lucas theorem for binomial coefficients implies some interesting tensor product properti...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
In this paper problems 14, 15, 29, 30, 34, 78, 83, 97, and 116 from [6] are formalized, using the Mi...
In this paper generator and verification algorithms for prime k-tuples based on the the divisibility...
Abstract. In 1947 Fine obtained an expression for the number ap(n) of bi-nomial coefficients on row ...
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
AbstractIt is known that for sufficiently large n and m and any r the binomial coefficient (nm) whic...