159 (one hundred [and] fifty-nine) is the natural number following 158 and preceding 160.
In mathematics
159 is:
- the sum of 3 consecutive prime numbers: 47 + 53 + 59.
- a Woodall number.[1]
- equal to the sum of the squares of the digits of its own square in base 15.[2]
- Only 5 numbers (greater than 1) have this property in base 15, none in base 10.
- 159 is the largest number that cannot be expressed as the sum of distinct pentagonal numbers.
- written CLIX in Roman numerals, which spells a proper noun with multiple meanings.
Given 159, the Mertens function returns 0.[3]
References
- ↑ "Sloane's A003261 : Woodall (or Riesel) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ↑ "Sloane's A270304 : Numbers that equal the sum of the squares of the digits of their own square in base 15". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
External links
- Number Facts and Trivia: 159
- The Number 159
- VirtueScience: 159 Archived 2021-02-01 at the Wayback Machine
- 159th Medical Detachment
- Farewell to Routemaster Bus 159
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