149 (number)

149 prime 35th 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,A001632 Smallest prime p such that there is a gap of 2n between p and previous prime an emirp, and an irregular prime. Metsänkylä Tauno 10.1515/crll.1976.282.126 Journal für die Reine und Angewandte Mathematik 399014 126–130 Distribution of irregular prime numbers 1976 1976 282 201061944 After 1 and 127, it is the third smallest de Polignac number, an odd number that cannot be represented as a prime plus a power of two.A006285 Odd numbers not of form p + 2^k (de Polignac numbers) More strongly, after 1, it is the second smallest number that is not a sum of two prime powers.A071331 Numbers having no decomposition into a sum of two prime powers It is a tribonacci number, being the sum of the three preceding terms, 24, 44, 81. Schoen Robert 4 The Fibonacci Quarterly 766313 354–357 Harmonic, geometric, and arithmetic means in generalized Fibonacci sequences https://www.fq.math.ca/Scanned/22-4/schoen.pdf 22 1984 10.1080/00150517.1984.12429874 There are exactly 149 integer points in a closed circular disk of radius 7,A000328 Number of points of norm ≤ n^2 in square lattice and exactly 149 ways of placing six queens (the maximum possible) on a 7 × 7 chess board so that each queen attacks exactly one other.A051567 The barycentric subdivision of a tetrahedron produces an abstract simplicial complex with exactly 149 simplices.A002050 Number of simplices in barycentric subdivision of n-simplex References External links 1 Category:Integers Category: Prime numbers