Problem 59170. Determine whether a number is a Zeisel number

Do you know what is interesting about the number 1729?
That’s right: it’s the third Zeisel number, a number given by p0*p1*p2*...*pn, where p0 = 1 and pk are the distinct prime factors, related by the recurrence relation pk = Ap(k-1)+b. For example, A and B are 1 and 6 for 1729 since 1+6 = 7, 7+6 = 13, 13+6 = 19, and 1*7*13*19 = 1729.
Write a function to determine whether a number is a Zeisel number. If it is, return the values of A and B. If not, set A and B to NaN.
Solve

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50.0% Correct | 50.0% Incorrect
Last Solution submitted on Dec 20, 2024

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primes recurrence sequence

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