This number is a prime.
The smallest prime of the form 2p + p3, where p is prime. [Brown]
Two to the power 157 is the smallest "apocalyptic number," i.e., a number of the form 2n that contains '666'. [Pickover]
157 is the smallest three-digit prime that produces five other primes by changing only its first digit: 257, 457, 557, 757, and 857. [Opao]
The smallest prime of form n*((n+1)^(n+2))-(n+3). [Vago]
Bus number 157 is hijacked in the cop thriller Dirty Harry. [May]
The smallest emirp among sums of distinct emirps. [Capelle]
The smallest balanced emirp. [Punches]
The fourth (and smallest prime) Koechel number of Mozart's string quartets. The fourth largest (i.e., preantepenultimate) such number (KV 499) is again (the largest such) prime. [Hasler]
The smallest prime Köchel number of Mozart's string quartets (String Quartet No. 4 in C). [Hasler]
The smallest emirp whose sum of the digits is another emirp. [Silva]
The product 13 * 17 * 31 * 37 * ... * 149 * 157 = 2847632021876895870149 of consecutive emirps is pandigital. [Poo Sung]
5 is close to 157. [Wesolowski]
The smallest concave emirp. [Loungrides]
Smallest emirp whose binary conversion (10011101 and its reversal 10111001) remain emirps when read in decimal. [Post]
157 is found in the inverse fine-structure constant formula: 157 - 337p/7 = 137.035 999 168, having three prime numbers with the prime constant p; within the uncertainty of the latest determination 137.035 999 173 (35) by Aoyama, T. et al Physical Review Letters, 109, 111807 (2012) arXiv:1205.5368v2. Reference: Sherbon, M.A. "Wolfgang Pauli and the Fine-Structure Constant," Journal of Science, Vol. 2, No. 3, pp.148-154 (2012). [Sherbon]
The smallest emirp with an emirp as its prime index, i.e., π(157)=37. [Gaydos]
The largest rating on the Saffir-Simpson Hurricane Wind Scale occurs at sustained winds of 157 mph or higher.
The 157-foot tower at Cape May has guided ships along the coast and into Delaware Bay since the year Darwin wrote "Origin of Species." [Roxanne]
The Australian rocket frog can cover 157 inches in one leap. [DK]
157 = 4396/28 is a zeroless pandigital expression. [Gaydos]
157 is normally the total number of points for "tricks" in the Swiss card game known as Jass. [Perrenoud]
If we use the English alphabet code a = 1, b = 2, c = 3, … , z = 26, then número primo = 157.