139

From ProofWiki
Jump to navigation Jump to search

Previous  ... Next

Number

$139$ (one hundred and thirty-nine) is:

The $34$th prime number


The $9$th of $11$ primes of the form $2 x^2 + 11$:
$2 \times 8^2 + 11 = 139$ (Previous  ... Next)


The larger of the $11$th pair of twin primes, with $137$


The $26$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $91$, $94$, $97$, $100$, $103$, $109$, $129$, $130$, $133$:
$139 \to 1^2 + 3^2 + 9^2 = 1 + 9 + 81 = 91 \to 9^2 + 1^2 = 81 + 1 = 82 \to 8^2 + 2^2 = 64 + 4 = 68 \to 6^2 + 8^2 = 36 + 64 = 100 \to 1^2 + 0^2 + 0^2 = 1$


The smaller of the $1$st pair of primes whose prime gap is $10$:
$149 - 139 = 10$


Also see


Sources