1. A method to discover new types of n-dimensional oval forms.
2. Calculating the prime number, referring to its serial number,
and calculating the prime number serial number, and the next
prime number, and the sum of all prime numbers from the beginning
to the prime number inclusive, referring to the prime
number.
3. Partial analysis of sums and differences.
4. A method to convert large integers from the decimal numeral
system into binary, quaternary, octal and hexadecimal numeral
systems and back to decimal numeral system.
5. Elements quantity enumeration of the eight basic number sets,
and calculation of the sum and product of these elements.
6. The irrational numbers. The formula of the number Pi.
7. A method of calculating large and multi-digit numbers.
8. Palindromic number analysis.
9. Pascal’s triangle and its applications.
10. A method to determine the formula of the power series
1k+2k+3k+…+n^k for a desired k.
11. How, by a chosen limit of a sequence, to compose a sequence
tending to this limit.
12. A method to calculate Pythagorean triples numbers according
to a given first (smallest) number.
13. A method for calculation of graphs.
14. A method to determine prime numbers.