Problem 58018. List the Fermi-Dirac primes
The Fermi-Dirac “primes” are prime powers with exponents that are powers of 2. The first nine terms of the sequence are 2, 3, 4, 5, 7, 9, 11, 13, and 16. Six of the terms are primes; two are squares of primes; and the remaining term, 16, is
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The name comes from an analogy with particle physics because every number can be written as the product of a unique subset of the Fermi-Dirac primes. For example,
.
Write a function analogous to primes(n) that lists the Fermi-Dirac primes less than or equal to n.
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Prime Numbers III
- 19 Problems
- 4 Finishers
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- List the two-bit primes
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- Identify de Polignac numbers
- List the Fermi-Dirac primes
- Factor a number into Fermi-Dirac primes
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- 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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