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 
, where 
and 
are the distinct prime factors, related by the recurrence relation 
. For example, A and B are 1 and 6 for 1729 since 1+6 = 7, 7+6 = 13, 13+6 = 19, and 
.
, where and are the distinct prime factors, related by the recurrence relation . For example, A and B are 1 and 6 for 1729 since 1+6 = 7, 7+6 = 13, 13+6 = 19, and .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.
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2 Comments
ChrisR
on 11 Nov 2023
In Firefox and Bing, the TeX writing is displaced below the rest of the line. Does anyone have a fix?
Christian Schröder
on 12 Nov 2023
@Chris I'm seeing that too (using Chrome). I guess it's a server-side problem.
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Prime Numbers III
- 19 Problems
- 4 Finishers
- List the Moran numbers
- List the cuban primes
- Compute the largest number whose prime factors sum to n
- List the Beatriz numbers
- List the Euclid numbers
- List odd twin composites
- List the semiprimes
- Solve an equation involving primes and fractions
- List the two-bit primes
- List numbers such that every sum of consecutive positive integers ending in those numbers is composite
- Identify de Polignac numbers
- List the Fermi-Dirac primes
- Factor a number into Fermi-Dirac primes
- Compute the Sisyphus sequence
- Compute the bubble popper fidget spinner sequence
- Determine whether a number is a Zeisel number
- Express numbers as the sum of a prime, a square, and a cube
- Determine whether a number is a Gaussian prime
- List primes of the form xy+z
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