293

Number

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

The smaller of the $2$nd pair of primes whose prime gap is $14$:

$307 - 293 = 14$

The larger of the $4$th pair of primes whose prime gap is $10$:

$293 - 283 = 10$

The $16$th right-truncatable prime after $2$, $3$, $5$, $7$, $23$, $29$, $31$, $37$, $53$, $59$, $71$, $73$, $79$, $233$, $239$

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 $44$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $188$, $190$, $192$, $193$, $203$, $208$, $219$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$:

$293 \to 2^2 + 9^2 + 3^2 = 4 + 81 + 9 = 94 \to 9^2 + 4^2 = 81 + 16 = 97 \to 9^2 + 7^2 = 81 + 49 = 130 \to 1^2 + 3^2 + 0^2 = 1 + 9 + 0 = 10 \to 1^2 + 0^2 = 1$