293

Number
$293$ (two hundred and ninety-three) is:


 * The $62$nd prime number


 * The $20$th Sophie Germain prime after $2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, 173, 179, 191, 233, 239, 251, 281$:
 * $2 \times 293 + 1 = 587$, which is prime.


 * The larger of the $4$th pair of primes whose prime gap is $10$:
 * $293 - 283 = 10$


 * The smaller of the $2$nd pair of primes whose prime gap is $14$:
 * $307 - 293 = 14$


 * The $44$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $188$, $190$, $192$, $193$, $203$, $208$, $219$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$:
 * $293 \to 2^2 + 9^2 + 3^2 = 4 + 81 + 9 = 94 \to 9^2 + 4^2 = 81 + 16 = 97 \to 9^2 + 7^2 = 81 + 49 = 130 \to 1^2 + 3^2 + 0^2 = 1 + 9 + 0 = 10 \to 1^2 + 0^2 = 1$