# 293

This number is a prime. The number of ways to make change for a dollar using the penny, nickel, dime, quarter, half-dollar, and dollar. 202^293 begins with the digits 293 and 293^202 begins with the digits 202. [Hartley] The largest possible prime bowling score. [Patterson] The first number after 3 for which ((10^2n)+1)/101 is a prime. The sum of the first three tetradic primes: 11 + 101 + 181 = 293. [Post] In the Christmas classic It's A Wonderful Life, George's guardian angel (Clarence Oddbody) says he will be 293 next May. The number of non-prime numbered days in a year, if the days of the year are numbered 1 to 365. [Green] The smallest Honaker number which is also a Happy prime. [Gupta] The largest prime that can be recognized on the Prime Number Maze by WorksheetWorks.com. 3^35 + 293 is a multiple of one million and 293 is the only prime p such that 3^n ± p is a multiple of one million for n < 100. [Ewing] 293 can be expressed using all non-composite digits only, i.e., 1 + 3⁵ + 7². [Leonardis] Wang Runsen found all distinct prime factors of a 293-digit Lucas-Lehmer number in 2020. The sum of the first 293 beastly numbers is divisible by 293. [Gaydos] 293 is the first prime Honaker number with a prime Honaker number index [π(29+3)]. Note that π(293) = reversal(29-3). [Worrom]