The Amazing Concepts

Lemoine’s conjecture or Levy’s conjecture, named after Emile Lemoine and Hyman Levy, respectively, is a popular conjecture as far as the number theory is concerned. According to this conjecture, every odd positive integer greater than 5 can be expressed as the sum of an odd prime number and an even semiprime. A prime number other than 2 is called an odd prime number . A semiprime is the product of two prime numbers . As per the definition, every odd positive integer n > 5 is the sum of an odd prime p and an even semiprime 2q. Mathematically,  n = sum(p + (2q)) . Conditions Condition 1:  Integer n must be odd. Condition 2:  Integer n must be greater than 5. For Example Integer n: 7 Sum of an odd prime p and even semiprime 2q: 3 + (2 x 2) => 7. Integer n: 11 Sum of an odd prime p and even semiprime 2q: 5 + (2 x 3) => 11. Integer n: 13 Sum of an odd prime p and even semiprime 2q: 7 + (2 x 3) => 13. Integer n: 17 Sum of an odd pri...