Nicomachu’s Theorem states that sum of cubes of first n natural numbers is equal to squares of natural number sum.
In other words
Or we can say that the sum is equal to square of n-th triangular number.
Mathematical Induction based proof can be found here.
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- Chinese Remainder Theorem | Set 1 (Introduction)
- Wilson's Theorem
- Zeckendorf's Theorem (Non-Neighbouring Fibonacci Representation)
- Compute nCr % p | Set 2 (Lucas Theorem)
- Chinese Remainder Theorem | Set 2 (Inverse Modulo based Implementation)
- Combinatorial Game Theory | Set 4 (Sprague - Grundy Theorem)
- Using Chinese Remainder Theorem to Combine Modular equations
- Corollaries of Binomial Theorem
- Fermat's little theorem
- Nicomachus’s Theorem (Sum of k-th group of odd positive numbers)
- Midy's theorem
- Extended Midy's theorem
- Fermat's Last Theorem
- Rosser's Theorem
- Euclid Euler Theorem
- Hardy-Ramanujan Theorem
- Lagrange's four square theorem
- Vantieghems Theorem for Primality Test
- Dilworth's Theorem
- An application on Bertrand's ballot theorem
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