Developments |
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| Since we know that the weight of n is the smallest prime factor of n - 1 and that the level is the largest proper divisor of n - 1 ,
the decomposition into weight * level + jump is a reformulation of the sieve of Eratosthenes and we have the following relations : |
| L(n) = 1 <=> k(n) > L(n) <=> k(n) = l(n) = n - 1 <=> l(n) = n - 1 is prime |
| L(n) > 1 <=> k(n) <= L(n) <=> k(n) * L(n) = l(n) = n - 1 <=> l(n) = n - 1 is composite |
| If n is classified by level (or if n is of level 1) then n - 1 is prime and if n is classified by weight, n - 1 is composite. |
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