The Algorithm 🗺️

FlowChart

Compute Golden Constant

\[ \frac{1+\sqrt{5}}{2}\]

Check parameters

Attention

• The maximum term is 93, which is \(12,200,160,415,121,876,738\); the 94th term exceeds 64 bits.

• Risk of overflow if it’s exceed 64 bits. \(2^{64} -1 = 18,446,744,073,709,551,615.\)

Improvements for searching prime numbers

• If you want to optimize it, you can consider the following tips:

  • Avoid testing even numbers.

  • Stop testing when the divisor is greater than the square root of the number.

• You can also explore more efficient algorithms such as:

  • The sieve of Eratosthenes tables.

  • The Miller-Rabin algorithm, although it is not the purpose of this test.