Problem 51798. Label primes with the Erdos-Selfridge classification
Erdos and Selfridge developed a scheme for classifying a prime number p: If the only factors of
are 2 and 3, then put p in class 1. Otherwise, find the largest class r of the factors of
and put p in class
.
For example, 11 is in class 1 because 12 has prime factors 2, 2, and 3. The number 43 is in class 2 because 44 has prime factors 2, 2, and 11, and all of those are in class 1. All Mersenne primes are in class 1, and all ugly numbers are in classes 1 or 2.
Write a function to classify prime numbers using this scheme.
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Prime Numbers II
- 19 Problems
- 7 Finishers
- List the delete-a-digit primes
- List the dihedral primes
- List the good primes
- Determine whether a number is a prime self number
- Compute home primes in a given base
- List Proth primes
- Label primes with the Erdos-Selfridge classification
- List Honaker primes
- List the nth prime quartet prefix
- Find the smallest prime with n inside
- List prime anagrams of a number
- Determine whether a number is unprimeable
- Count the primes in Collatz sequences
- Play Outside In with primes
- Identify prime words
- Find pairs of primes with the same digit sum and a specified separation
- List composite numbers that cannot be written as the sum of two primes
- Compute the arithmetic derivative of integers
- Solve the arithmetic differential equation D(n) = n
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