Primes not Sum of or Difference between Powers of 2 and 3
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Theorem
The sequence of prime numbers which cannot be expressed as either sum of or the difference between a power of $2$ and a power of $3$ begins:
- $53, 71, 103, 107, 109, 149, 151, \ldots$
This sequence is A007644 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Proof
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Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $53$