Displaying similar documents to “Prime divisors of q -binomial coefficients”

Prime constellations in triangles with binomial coefficient congruences

Larry Ericksen (2009)

Acta Mathematica Universitatis Ostraviensis

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The primality of numbers, or of a number constellation, will be determined from residue solutions in the simultaneous congruence equations for binomial coefficients found in Pascal’s triangle. A prime constellation is a set of integers containing all prime numbers. By analyzing these congruences, we can verify the primality of any number. We present different arrangements of binomial coefficient elements for Pascal’s triangle, such as by the row shift method of Mann and Shanks and especially...