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Number of ways to write a positive integer as the sum of two coprime composites
I've recently learnt that every integer $n>210$ can be written as the sum of two coprime composites.
Similar to the totient function, is there any known function that works out the number of ways ...
- 103
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Sum of Prime Factorizations and Primes
If I partition an integer and get the prime factorization of each partition, is there a way to tell if my original integer was a prime? For example, given the factorization of my partitions
$$71 = (56)...
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