Infinity
proof of prime numbers being was propound 300 years B.C. by Euclid and since that time great
mathematicians like Euler tried to discover a formula to
produce
prime numbers.
Many of other
mathematicians after many other researches finally found
that discovery of prime numbers formula is impossible
and this problem will be
unsolvable.
This discovery
shows
that one of the complicated and unsolvable problems of
mathematics was solved and this discovery proves that
there could be no
unsolvable
problem.
I
spent twenty years of my life researching and I found this fact
that I can't comeback from this path which I came
through and I
promised myself to
keep
on
searching
for the rest of my life to find the solution even if I couldn't achieve the
proof.
One of the
results of discovering the prime numbers formula is to
achieve the solution of Riemann Zeta equation which is
on of the popular universal unsolvable
problems in mathematics and it's
solution needs to
achieve the number of the prime numbers for any
desirable number of N carefully
(with
prime numbers formula).
Another result is
to determine k-th desirable prime number and other uses are definition of prime numbers set, proof of
infinity of twin prime pairs considering to the
cconjectures
of Goldbach and Hardy,
find the generator formula for Mersenne prime
numbers and also very unknown and big prime numbers and
other problems
related to prime
numbers.
In fact the main
use of this formula is in coding and decoding that
usually use from very big prime numbers for this reason
and in the past it was necessary to
gain them with
complicated mathematics methods and had a hard way to
pass through But with presenting of prime numbers
formula, definition of coding and decoding systems
became easy and convenient.
After
Euclid’s theory about infinite prime numbers in 300 B.C.
Most of
the
mathematicians and other researchers have been curious
to find
a
formula which could generates prime numbers. After many
years
later
some mathematicians like Euler and Fermat presented some
formulas
to generate prime numbers limitedly.
Great
mathematicians like Hardy and Courant and many other
researchers
finally officially announced that such a formula can’t
be
found and to
prove their wrong idea they started to publish some
Algebraic theorems in their books.
Furthermore,
determining the number of prime numbers was very
important problem. So Gauss and other mathematicians
started to set some tables for them.
We knew that
so far there was no exact formula to determine the
number of prime numbers exactly. This problem is known
as Zeta Riemann equation which was
one of the
seven known unsolvable problems of the world that after
my discovery on 5th August 2003, one of them
is no more unsolvable with the prime numbers
formula
accurately you can absolutely generate all prime numbers
to the nth one.
Its
consequent generate of prime numbers formula resulted in
defining the set of prime numbers and so many other
unbelievable results until now like breaking
the
code of RSA and AES by the use of prime numbers formula
and other sets like Mersenne prime, perfect numbers and
so many important sets and results
just related
to the field of number theory and basic sciences.
Discovery of prime numbers formula by Prof. Seyyed
Mohammadreza Hashemi Moosavi caused so many results
in basic
sciences that we will mention part of it in the
following:
-
1.
Distinction of prime numbers.
-
2.
Defining a formula for generating prime numbers.
-
3.
Definition of prime numbers set by using the
generating function of prime numbers.
-
4.
Defining a formula to generate the Mersenne prime
numbers.
-
5.
Determination of Nth prime number.
-
6.
Solving Riemann Zeta equation by using the
determination of the number of prime number less than or
equal to arbitrary number N exactly.
-
7.
The proof of guesses of Gold Buch and Hardy.
-
8.
The proof of infinity of the prime twin couples.
-
9.
Determining a general series of answer for
Diophantine equations.
-
10.
This formula has so many unknown applications in
Cryptography, generating Titan Mersenne prime numbers
and other sciences like solving NP.
)
