It says that there is always one prime number between any two consecutive natural number’s(n = 1, 2, 3, 4, 5, …) square. This is called Legendre’s Conjecture.
Conjecture: A conjecture is a proposition or conclusion based upon incompleate information to which no proof has been found i.e it has not been proved or disproved.
there is always one prime p in the range to where n is any natural number.
2 and 3 are the primes in the range to .
5 and 7 are the primes in the range to .
11 and 13 are the primes in the range to .
17 and 19 are the primes in the range to .
Input : 4 output: Primes in the range 16 and 25 are: 17 19 23
Explanation: Here 42 = 16 and 52 = 25
Hence, prime numbers between 16 and 25 are 17, 19 and 23.
Input : 10 Output: Primes in the range 100 and 121 are: 101 103 107 109 113
Output : Primes in the range 2500 and 2601 are: 2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 2593
- Lemoine's Conjecture
- Ramanujan–Nagell Conjecture
- Goldbach's Weak Conjecture for Odd numbers
- Program for Goldbach’s Conjecture (Two Primes with given Sum)
- Program to implement Collatz Conjecture
- Maximum Sequence Length | Collatz Conjecture
- Triangle of numbers arising from Gilbreath's conjecture
- Check if all elements of the given array can be made 0 by decrementing value in pairs
- Palindromic divisors of a number
- Find smallest possible Number from a given large Number with same count of digits
- Count of Leap Years in a given year range
- Largest N digit Octal number which is a Perfect square
- Sum of all Perfect Squares lying in the range [L, R] for Q queries
- Program to find all Factors of a Number using recursion
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