combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the center and all...

A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of...

is exactly the general form of a centered hexagonal number; that is, all of these cuban primes are centered hexagonal. As of July 2023[update] the largest...

numbers to also be a centered hexagonal number. a centered nonagonal number. a centered cube number. a square pyramidal number, being the sum of the squares...

are listed in the table below. Square lattice Hexagonal tiling Close-packing Centered hexagonal number Eisenstein integer Voronoi diagram Hermite constant...

numbers are closely related to centered hexagonal numbers. When the array corresponding to a centered hexagonal number is divided between its middle row...

n^2 + (n - 1)^2. centered pentagonal numbers 1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, ... (OEIS: A005891), centered hexagonal numbers 1, 7, 19...

by 19. 19 is the third centered triangular number as well as the third centered hexagonal number. The 19th triangular number is 190, equivalently the...

2 {\displaystyle 5^{2}+6^{2}} . It is also a centered decagonal number, and a centered hexagonal number. 61 is the fourth cuban prime of the form p =...

other dots surrounding the center in successive equilateral triangular layers. This is also the number of points of a hexagonal lattice with nearest-neighbor...

without a twin prime. 37 is the third star number and the fourth centered hexagonal number. The sum of the squares of the first 37 primes is divisible by...

squares to also be a centered hexagonal number. Like all odd squares, it is a centered octagonal number. 169 is an odd-indexed Pell number, thus it is also...

primes; thus, it is a strong prime. 127 is a centered hexagonal number. It is the seventh Motzkin number. 127 is a palindromic prime in nonary and binary...

{1}{253}}-{\frac {1}{337}}+\cdots \\&\approx 0.941419.\\\end{aligned}}} Centered hexagonal number Sloane, N. J. A. (ed.). "Sequence A000567". The On-Line Encyclopedia...

natural number following 299 and preceding 301. 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. 315 = 32...

241-gonal number. 721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number, smallest number that...

33 × 17, Harshad number 919 = prime number, cuban prime, prime index prime, Chen prime, palindromic prime, centered hexagonal number, Mertens function(919)...

Cuban prime number, Lucky prime, centered triangular number, centered hexagonal number, Chen prime, lazy caterer number (sequence A000124 in the OEIS) 632...

refactorable number, self number, Harshad number 469 = 7 × 67, centered hexagonal number. 469! - 1 is prime. 470 = 2 × 5 × 47, sphenic number, nontotient...

a centered hexagonal number. It is the smallest prime number bracketed on both sides by numbers divisible by cubes, and the smallest prime number bracketed...

The nth pronic number is also the difference between the odd square (2n + 1)2 and the (n+1)st centered hexagonal number. Since the number of off-diagonal...

546! − 1 is prime. 547 is: a prime number. a cuban prime. a centered hexagonal number. a centered heptagonal number. a prime index prime. 548 = 22 × 137...

tetrahedral number, Padovan number, Zuckerman number 817 = 19 × 43, sum of three consecutive primes (269 + 271 + 277), centered hexagonal number 818 = 2 ×...

centered hexagonal number 4225 = 652, centered octagonal number 4227 – sum of the first 46 primes 4240 – Leyland number 4257 – decagonal number 4259 – safe...

nth hexagonal number P(6,n) is also the (2n − 1)th triangular number T2n−1. We can find every hexagonal number by simply taking the odd-numbered triangular...

number following 189 and preceding 191. 190 is a triangular number, a hexagonal number, and a centered nonagonal number, the fourth figurate number (after...

ways than any smaller number. 32760 = harmonic divisor number 32761 = 1812, centered hexagonal number 32767 = 215 − 1, largest positive value for a signed...

221,074,418 : Leyland number using 5 & 13 (513 + 135) 1,232,922,769 : Centered hexagonal number. 1,234,567,890 : pandigital number with the digits in order...

is the natural number following 216 and preceding 218. 217 is a centered hexagonal number, a 12-gonal number, a centered 36-gonal number, a Fermat pseudoprime...

number Centered polygonal number Centered square number Centered pentagonal number Centered hexagonal number Tetrahedral number Pyramidal number Triangular...