- #1
kingtaf
- 8
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Prove or disprove: If n is an integer and n > 2, then there exists a prime p such that
n < p < n!.
n < p < n!.
CRGreathouse said:Bertrand's postulate, anyone?
kingtaf said:I considered Bertrand's Postulate but as hochs said it got messy.i still can't figure it out
hochs said:That's way over-kill.
Just consider the prime factors of n! - 1, that's a one-line proof for this problem
A prime factorial proof is a mathematical proof that uses the concept of prime numbers and factorials to demonstrate the validity of a mathematical statement or equation.
A factorial is the product of all positive integers from 1 up to a given number. For example, 5 factorial (written as 5!) is equal to 1 x 2 x 3 x 4 x 5 = 120.
A prime factorial proof specifically uses prime numbers and factorials in its logic and calculations, while a regular proof may use other mathematical concepts and operations.
A prime factorial proof is often used in scientific research to validate mathematical equations and theories. It provides a concrete and logical explanation for the validity of a statement or equation.
A prime factorial proof offers a rigorous and structured approach to verifying mathematical statements, making it a valuable tool in scientific research and problem-solving. It also helps to establish the credibility and reliability of a scientific study or theory.