Results: **4**

#### 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