127

Number
$127$ (one hundred and twenty-seven) is:


 * The $31$st prime number


 * The $4$th Mersenne number and $4$th Mersenne prime after $3, 7, 31$:
 * $127 = 2^7 - 1$


 * The $26$th lucky number:
 * $1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 51, 63, 67, 73, 75, 79, 87, 93, 99, 105, 111, 115, 127, \ldots$


 * The $8$th of $29$ primes of the form $2 x^2 + 29$:
 * $2 \times 7^2 + 29 = 127$