157 (number)

157 prime 37th 1, 157 157 (one hundred [and] fifty-seven) is the number following 156 and preceding 158. In mathematics 157 is: the 37th prime number. The next prime is 163 and the previous prime is 151. a balanced prime, because the arithmetic mean of those primes yields 157 an emirp a Chen prime the largest known prime p which is also prime. (See A056826). the least irregular prime with index 2. a palindromic number in bases 7 (3137) and 12 (11112). a repunit in base 12, so it is a unique prime in the same base a prime whose digits sum to a prime. (see A046704) a super-prime (37 is prime) In base 10, 1572 is 24649, and 1582 is 24964, which uses the same digits. Numbers having this property are listed in A072841. The previous entry is 13, and the next entry after 157 is 913. The simplest right angle triangle with rational sides that has area 157 has the longest side with a denominator of 45 digits. In music "157" is a song by Tom Rosenthal where the lyrics merely consist of the numbers from 1 to 157. The song was released on April Fools' Day, 2020. References External links The Number 157 Prime Curios: 157 1 Category:Integers Category: Prime numbers