Given an odd number N, the task is to find if the number can be represented as the sum of 3 prime numbers.
Input: N = 7 Output: Yes Explanation: 2 + 2 + 3 = 7 Input: N = 17 Output: Yes Explanation: 2 + 2 + 13 = 17
In number theory, Goldbach’s weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that Every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum.).
Below is the implementation of the above approach:
- Triangle of numbers arising from Gilbreath's conjecture
- Legendre's Conjecture
- Lemoine's Conjecture
- Ramanujan–Nagell Conjecture
- Program for Goldbach’s Conjecture (Two Primes with given Sum)
- Program to implement Collatz Conjecture
- Maximum Sequence Length | Collatz Conjecture
- Fill the missing numbers in the array of N natural numbers such that arr[i] not equal to i
- Permutation of numbers such that sum of two consecutive numbers is a perfect square
- Numbers within a range that can be expressed as power of two numbers
- Numbers less than N which are product of exactly two distinct prime numbers
- Print N lines of 4 numbers such that every pair among 4 numbers has a GCD K
- Count numbers which can be constructed using two numbers
- Count numbers which are divisible by all the numbers from 2 to 10
- Maximum sum of distinct numbers such that LCM of these numbers is N
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