Subsets of prime numbers in the generalized arithmetical progressions
... progression of the power k and difference d is given. For k 1,7 formulas of nth member of such progressions and for k 1, 2, 3 formulas for the sum of the first n its members are obtained. Progressions ( ) , k p d M with the first member prime number p and difference being a positive even number d 2m (m ) are considered. Such progressions define subsets ( )
, , k h p d M of h prime numbers (h ). For k 20, p 95467, d 108 all subsets (1) h,p,d M with h 15 prime numbers ...
About one way of determination of prime numbers
The method of finding prime numbers without computer calculation is shown. Subsets P1 = {6k1 – 1}, P2 = {6k2 + 1}, Q1 = {6j1 – 1}, Q2 = {6j2 + 1} are considered, where P1 È P2 are all prime numbers p ≥ 5; Qi are all odd composite numbers of such form. Subsets Ai = {ki}, Bi ...
How to extract formulas from Pascal's triangle to find all primes
... confirmed and the main results of finding its numerical discriminant are given. Exactly, the numerical properties of the truncated Pascal triangle for the direct finding of all primes are found.
Sherban V. L.
Pascal triangle, Fibonacci numbers, prime numbers, recurrent sequences
23-39
Unusual properties of some sets of square trinomials
... многообр. фигур. Калининград, 2016. Вып. 47. С. 89—97.
2. Малаховский В. С. Числа знакомые и незнакомые. Калининград, 2004.
Malakhovsky V. S.
quadratic trinomial, set, totality, prime number
25-29