# 457

This number is a prime.

The German submarine known as U-457 was sunk in the Barents Sea by depth charges from the British destroyer HMS *Impulsive* during WWII. [Wynn]

The first Honaker
prime (p_{88} = 457: 8+8 =
4+5+7) that is itself the subscript of another Honaker prime (p_{457} = 3229: 4+5+7 =
3+2+2+9). [Beedassy]

The Amazon Standard Identification Number (ASIN) for Nate Kenyon's science fiction novel "Prime" is B00457XFFQ. [Sardina]

If the symbols of Z340 are translated to a numeric form, where each unique symbol is assigned a unique number, then the sum of only one row (the 18th) is prime, i.e., 19 + 19 + 33 + 26 + 56 + 40 + 26 + 36 + 9 + 23 + 42 + 1 + 14 + 54 + 21 + 33 + 5 = 457. [Honaker]

A four year cycle (three non-leap and one leap) has 457 prime days. [Post]

Is 457 the only Honaker prime for which its prime index (88) plus 666 is an anagram of the prime? [Gaydos]

A 457(b) plan is an employer-sponsored, tax-favored retirement savings account. With this type of plan, you contribute pre-tax dollars from your paycheck, and that money won't be taxed until you withdraw the money, usually for retirement. [Warren]

The smallest prime number for which the reverse of its double is a smaller prime. [Gaydos]

The 457th Fibonacci number is a 96-digit number containing the digit 2 just once. Is this the largest Fibonacci number that has one or more unique digits? [Gaydos]

The concatenation of the three values of n for which (n!+1) is a perfect square. [Kilpatrick]

There are 457 squares that are each the sum of two consecutive distinct-digit positive integers. [Gaydos]

The first Honaker prime with a repdigit prime index (88). [Gaydos]

The smallest Honaker prime that is the hypotenuse of a Pythagorean triangle: {457, 425, 168}. [Bajpai]