Surf Wiki
Save to docs
general/integers

From Surf Wiki (app.surf) — the open knowledge base

51 (number)

FieldValue
number51
divisor1, 3, 17, 51

51 (fifty-one) is the natural number following 50 and preceding 52.

In mathematics

Fifty-one is

  • a pentagonal number as well as a centered pentagonal number and an 18-gonal number
  • the 6th Motzkin number, telling the number of ways to draw non-intersecting chords between any six points on a circle's boundary, no matter where the points may be located on the boundary.
  • a Perrin number, coming after 22, 29, 39 in the sequence (and the sum of the first two)
  • a Størmer number, since the greatest prime factor of 512 + 1 = 2602 is 1301, which is substantially more than 51 twice.
  • There are 51 different cyclic Gilbreath permutations on 10 elements, and therefore there are 51 different real periodic points of order 10 on the Mandelbrot set.
  • Since 51 is the product of the distinct Fermat primes 3 and 17, a regular polygon with 51 sides is constructible with compass and straightedge, the angle is constructible, and the number cos is expressible in terms of square roots.

References

References

  1. "Sloane's A000326 : Pentagonal numbers". OEIS Foundation.
  2. "Sloane's A005891 : Centered pentagonal numbers". OEIS Foundation.
  3. "Sloane's A051870 : 18-gonal numbers". OEIS Foundation.
  4. "Sloane's A001006 : Motzkin numbers". OEIS Foundation.
  5. "Sloane's A001608 : Perrin sequence". OEIS Foundation.
  6. "Sloane's A005528 : Størmer numbers". OEIS Foundation.
  7. {{Cite OEIS
  8. (2012). "Magical Mathematics: the mathematical ideas that animate great magic tricks". Princeton University Press.
Info: Wikipedia Source

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.

integers
Want to explore this topic further?

Ask Mako anything about 51 (number) — get instant answers, deeper analysis, and related topics.

Research with Mako

Free with your Surf account

Content sourced from Wikipedia, available under CC BY-SA 4.0.

This 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