Number Gossip

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Unique Properties of 41

  • 41 is the smallest prime expressible as the sum of (at least two) consecutive primes in at least 2 ways
  • 41 is the smallest prime that is not a difference between powers of 2 and 3 (submitted by Bruno Haible)
  • 41 is the smallest non-palindromic prime which on subtracting its reverse gives a perfect cube (i.e., 41 - 14 = 33)
  • 41 is the smallest half-quartan prime: p = (x4 + y4)/2
  • 41 is the smallest number such that the sum of its divisors equals 3 times its reverse (41 + 1 = 3*14)

Common Properties of 41

Deficient
Odd
Odious
Prime
Square-free
Twin