757
This number is a prime.
The California lottery announces results on TV at precisely 7:57 P.M. [Haga]
The Boeing 757 has the lowest operating cost per seat-mile of any single-aisle jetliner in its class and a lower cost per trip than any twin-aisle airplane.
The smallest palindromic prime that remains prime when its leading digit is replaced by any nonzero digit that is a power of two. [Russo]
The largest of three 3-digit palindromic primes that are
not the sum of consecutive composite numbers. The other two
are 313 and 383. [Loungrides]
Smallest multidigit palindromic prime of the form ceiling((n^2)/4). [Post]
There are 757 three-digit composite numbers. Their sum is a prime number. [Gaydos]
The smallest palindromic prime that is the sum of seven
consecutive primes: {97 + 101 + 103 + 107 + 109 + 113 +
127}. [Jha]
757 is the largest three-digit prime-digit anagram prime. Note that π(7) + π(5) = 7. [Worrom]
757 is the smallest palindromic prime of the form 3^(2n) + 3^n + 1 for positive integer n (achieved at n = 3). From
this form, it is visible that 757 is also a palindrome in base 3 (1001001) and base 27 (111), since 27 = 3^3. Coincidentally, it is also a palindrome in base 21, written as 1F1 (where F = 15). [Ahmed]
757 is the smallest multidigit palindromic prime p = Pₙ for
which the symmetric concatenation n||p||rev(n) yields a
palindromic prime: 134||757||431 = 134757431. [Ahmed]