This book contains the formula of the number Pi, dependencies among the numbers of Fibonacci sequence, dependencies associated with the primary(prime) numbers, analysis of numeric palindromes, a method for calculating (multiplication, division, exponentiation, square rooting, addition, subtraction) of large and multi-digit numbers, the Pascal’s triangle and its applications as follows : Binomial theorem, Partial analysis of sums and differences, exponentiation of integers, a method for determining the formula of power series for desired k.