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International Journal Of Mathematics And Statistics Invention (IJMSI)
E-ISSN: 2321 – 4767 P-ISSN: 2321 - 4759
Www.Ijmsi.Org || Volume 3 Issue 1 || January. 2015 || PP-12-12
www.ijmsi.org 12 | P a g e
The Prime Conjecture
1
Saurabh Kumar bharath aldro cless
1
Department Of Mathematics, Poona College Of Arts, Science & Commerce, University Of Pune, India.
ABSTRACT: In this article, I will demonstrate a conjecture for primes which can be found out with the help of
any integers.
KEYWORDS: Integers, Primes & Conjecture.
I. INTRODUCTION
In mathematics, we have two types of numbers namely, prime numbers and composite numbers. In this
article, I will state the relation between an integer and its corresponding prime which will be unique for any
unique value of integer.
II. IDENTATIONS AND EQUATIONS
Let X be an integer. There exists another integer Y such that,
…..(1)
Then, the prime conjecture states that:
…..(2)
Where,
X is an integer,
Y = X + 1
and P is prime.
III. Conclusion
If „X‟ is an integer, then there exists a unique number „P‟ such that:
X^3 + Y^2 = P.
Therefore, substituting the values of equation (1) in the above equation, we get,
 X^3 + ( X + 1)^2 = P
 X^3 + X^2 + 2X + 1 =
P.
Therefore, the equation:
is known as “The prime conjecture polynomial”. Hence, for any value of P, there exists a unique integer value
of X.
NOTE. : This conjecture is not valid for any integer X which unit digit is 6.
REFERENCES
There are no references used in this article. It is my own personal work.
Y = x + 1
X3
+ Y2
= P
X^3 + X^2 + 2X + 1 = P.

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The Prime Conjecture

  • 1. International Journal Of Mathematics And Statistics Invention (IJMSI) E-ISSN: 2321 – 4767 P-ISSN: 2321 - 4759 Www.Ijmsi.Org || Volume 3 Issue 1 || January. 2015 || PP-12-12 www.ijmsi.org 12 | P a g e The Prime Conjecture 1 Saurabh Kumar bharath aldro cless 1 Department Of Mathematics, Poona College Of Arts, Science & Commerce, University Of Pune, India. ABSTRACT: In this article, I will demonstrate a conjecture for primes which can be found out with the help of any integers. KEYWORDS: Integers, Primes & Conjecture. I. INTRODUCTION In mathematics, we have two types of numbers namely, prime numbers and composite numbers. In this article, I will state the relation between an integer and its corresponding prime which will be unique for any unique value of integer. II. IDENTATIONS AND EQUATIONS Let X be an integer. There exists another integer Y such that, …..(1) Then, the prime conjecture states that: …..(2) Where, X is an integer, Y = X + 1 and P is prime. III. Conclusion If „X‟ is an integer, then there exists a unique number „P‟ such that: X^3 + Y^2 = P. Therefore, substituting the values of equation (1) in the above equation, we get,  X^3 + ( X + 1)^2 = P  X^3 + X^2 + 2X + 1 = P. Therefore, the equation: is known as “The prime conjecture polynomial”. Hence, for any value of P, there exists a unique integer value of X. NOTE. : This conjecture is not valid for any integer X which unit digit is 6. REFERENCES There are no references used in this article. It is my own personal work. Y = x + 1 X3 + Y2 = P X^3 + X^2 + 2X + 1 = P.