149 (number)

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title: "149 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/149_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

::data[format=table title="Infobox number"]

FieldValue
number149
factorizationprime
prime35th
divisor1, 149
::

| number = 149 | factorization=prime | prime=35th | divisor = 1, 149

149 (one hundred [and] forty-nine) is the natural number between 148 and 150.

In mathematics

149 is the 35th prime number, the first prime whose difference from the previous prime is exactly 10, an emirp, and an irregular prime.{{cite journal | last = Metsänkylä | first = Tauno | doi = 10.1515/crll.1976.282.126 | journal = Journal für die Reine und Angewandte Mathematik | mr = 399014 | pages = 126–130 | title = Distribution of irregular prime numbers | volume = 1976 | year = 1976| issue = 282 | s2cid = 201061944

It is a tribonacci number, being the sum of the three preceding terms, 24, 44, 81.{{cite journal | last = Schoen | first = Robert | issue = 4 | journal = The Fibonacci Quarterly | mr = 766313 | pages = 354–357 | title = Harmonic, geometric, and arithmetic means in generalized Fibonacci sequences | url = https://www.fq.math.ca/Scanned/22-4/schoen.pdf | volume = 22 | year = 1984| doi = 10.1080/00150517.1984.12429874

There are exactly 149 integer points in a closed circular disk of radius 7, and exactly 149 ways of placing six queens (the maximum possible) on a 5 × 5 chess board so that each queen attacks exactly one other. The barycentric subdivision of a tetrahedron produces an abstract simplicial complex with exactly 149 simplices.

References

References

  1. {{cite OEIS. A001632. Smallest prime p such that there is a gap of 2n between p and previous prime
  2. {{cite OEIS. A006285. Odd numbers not of form p + 2^k (de Polignac numbers)
  3. {{cite OEIS. A071331. Numbers having no decomposition into a sum of two prime powers
  4. {{cite OEIS. A000328. Number of points of norm ≤ n^2 in square lattice
  5. {{cite OEIS. A051567
  6. {{cite OEIS. A002050. Number of simplices in barycentric subdivision of n-simplex

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integers