This problem deals with a sequence whose tenth term is 36 because the prime factors of 36 (2, 2, 3, 3) sum to 10. The number 32 would also fit, but the elements of this sequence are the largest possible examples.
Write a function to produce the nth term in this sequence. In other words, compute the largest number whose prime factors sum to n. Take the first term in the sequence to be 1.
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