WebA Primality Test. Do you have an integer you would like to test for primality? If it is small (say less than 9007199254740991 = 2 53 - 1), then try this script: Is prime? For larger numbers … Webg p + ( 1 − g) p = L p. As a result, we can say that if p-th Lucas number minus 1 divides by p wholly then p is prime, i.e. ∀ p ∈ N, L p − 1 p = a where a ∈ N ⇒ p is prime. Aaaand it is not true. If you check a composite number 705 which is equal to 3*5*47: 3.031556 ∗ 10 144 is a whole number and the test fails.
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