Problem 60764. Determine whether a number is a Ludic prime
Ludic numbers are formed by a sieve. Start with a list of the positive integers. Skip 1 and start with 2. Then delete every second number after 2 (i.e., 4, 6, 8, 10, etc.). Then move to the next number after 2—i.e., 3—and delete every third number (9, 15, 21, etc.). The next number is 5, so delete every fifth number (19, 37, etc.). Unlike the Sieve of Eratosthenes, this remaining numbers are not all prime.
Write a function to determine whether a number is a Ludic prime. The function should return three logical variables that answer these questions: Is it a Ludic prime? Is it a Ludic number? Is it prime?
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