193 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: The smallest Francesca-Carlotta prime, i.e., if a Fibonacci-like sequence is formed with the first term equal to the number of digits in n and the second term equal to the sum of the decimal digits in n, then n itself occurs as a term in the sequence after the first two terms. [Russo] 193 * 1070 + 1 has only 2 prime factors. [Brown] The only odd prime p known for which 2 is not a primitive root of 4p^2 + 1. The smallest prime whose reversal is a Smith number. [Loungrides] The square of 193 (37249) concatenated with its reverse (which is a prime) results in a palindrome that is the product of 2 palindromes, one non-prime (1001) and one prime (3721273). [Trotter] The longest decisive game of chess (as of 1980) was played between Stepak and Masian in Israel, and lasted a whopping 193 moves! [Patterson] The smallest prime whose fifth power contains all digits from 1 to 9 (zeroless pandigital). [Gupta] 193/71 is the closest ratio of two primes less than 2000 to the number e. 193 can be formed from the sum of products of the first three twin primes pairs: 3*5 + 5*7 + 11*13 = 193 is prime. [Post] 193 can be written as the difference between the product and the sum of the first four primes. [Poo Sung] The unique nontrivial Magic Hexagon is one with 19 cells and order (or side) 3. Note that 19 and 3 are two primes that concatenate to form 193. [Beedassy] "There are 193 species of monkeys and apes, 192 of them are covered with hair." Desmond Morris, British zoologist and ethologist A woman in Texas was convicted of murder in March 2004 for stabbing her husband 193 times. The smallest prime which is one more than the product of three distinct composite numbers. [Porter] The largest prime that is the sum of the reversals of two double-digit primes (i.e., 59 and 89). [Loungrides] 193 = 2*3*5*7 - (2+3+5+7), i.e., the product of the first four primes minus the sum of the first four primes. [Alves] The only non-titanic prime of form 97^n-96^n, where n is an integer. [Loungrides] p44# has average digit exactly 4 and is the largest primorial with such a whole number average. [Merickel] (There are 5 curios for this number that have not yet been approved by an editor.) Prime Curios! © 2000-2018 (all rights reserved)  privacy statement