From Surf Wiki (app.surf) — the open knowledge base
157 (number)
| Field | Value |
|---|---|
| number | 157 |
| factorization | prime |
| prime | 37th |
| divisor | 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 \frac{p^p+1}{p+1} is also prime. (See ).
- 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 )
- a prime index prime
- 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 . 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
This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.
Ask Mako anything about 157 (number) — get instant answers, deeper analysis, and related topics.
Research with MakoFree with your Surf account
Create a free account to save articles, ask Mako questions, and organize your research.
Sign up freeThis content may have been generated or modified by AI. CloudSurf Software LLC is not responsible for the accuracy, completeness, or reliability of AI-generated content. Always verify important information from primary sources.
Report