Erdös-Selfridge categorization of primes: Difference between revisions
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Explanation: this is a recursive function defined only on primes. We memoize it for good performance. |
Explanation: this is a recursive function defined only on primes. We memoize it for good performance. |
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To find the prime category of a prime, we find the prime factorization of the next larger integer, and find the category of each of those factors other than 2 or 3. The category |
To find the prime category of a prime, we find the prime factorization of the next larger integer, and find the category of each of those factors other than 2 or 3. The prime's category is one greater than the maximum of these factor categories (with an explicit 0 for the maximum when there are factors greater than 3) |
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First 200 primes -- category is in left box, primes are in right box: |
First 200 primes -- category is in left box, primes are in right box: |
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