Primes / Is 193 prime?

Is 193 a Prime Number?

Yes

193 is prime: for 193, testing every prime up to √193 ≈ 13.9 (namely 2, 3, 5, 7, 11, 13) finds no divisor. 193 sits between primes 191 and 197, 2 below and 4 above. 193 shares no factor with 2-12; 193's divisors start beyond that range. 193 is odd, digit sum 13 for 193, digital root 4 for 193. 193 has 4 primes within 10 of 193.