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283 = (6! - 5! - 4! - 3! - 2! - 1! - 0!)/2. [Vatshelle]

The smallest prime factor of the first composite numerator of a Bernoulli number.

The smallest prime number less than the sum of cubic roots of all primes up to himself. [Gallardo]

283 can be expressed as n^n + (n+1)^(n+1). [Patterson]

283 is the (2*8*3 + 2+8+3)th prime. Note that 283 is the smallest such prime. [Firoozbakht]

The first number n > 3 for which ((10^4n)+1)/10001 is prime.

The smallest prime adjacent to any amicable number. [Loungrides]

The largest prime less than a googol of the form p = n^n + (n+1)^(n+1). [Loungrides]