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Centered figurate number that represents a pentagon with a dot in the center
In mathematics, a centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding
Centered_pentagonal_number
Natural number
smallest number requiring 143 seventh powers for Waring representation 2176 – pentagonal pyramidal number, centered pentagonal number, number of prime
2000_(number)
Natural number
natural number following 50 and preceding 52. Fifty-one is a pentagonal number as well as a centered pentagonal number and an 18-gonal number a stella
51_(number)
Natural number
fifth Zeisel number 4513 – centered square number 4516 – centered pentagonal number 4517 – super-prime, happy number 4522 – decagonal number 4547 – safe
4000_(number)
Figurate number
involved in the construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern
Pentagonal_number
Natural number
pairwise connections. a nontotient. a 14-gonal number. a centered pentagonal number. an Erdős–Woods number since it is possible to find sequences of 76
76_(number)
1625 = centered square number 1626 = centered pentagonal number 1627 = prime and 2 × 1627 - 1 = 3253 is also prime 1628 = centered pentagonal number 1629
1000_(number)
Class of series of figurate numbers, each having a central dot
e., n2 + (n − 1)2. centered pentagonal numbers 1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, ... (OEIS: A005891), centered hexagonal numbers 1
Centered_polygonal_number
Natural number
hundred [and] forty-one) is the natural number following 140 and preceding 142. 141 is: a centered pentagonal number. the sum of the sums of the divisors
141_(number)
Natural number
natural number following 105 and preceding 107. 106 is a centered pentagonal number, a centered heptagonal number, and a regular 19-gonal number. There
106_(number)
Natural number
a super-prime, a cuban prime, a lucky prime, a centered pentagonal number, a centered hexagonal number, and a zero of Mertens function. It is the sum
300_(number)
Natural number
generalized pentagonal number one of two ISBN Group Identifiers for books published in Argentina 951 = 3 × 317, centered pentagonal number one of two ISBN
900_(number)
Natural number
decagonal number, centered cube number country calling code for Cambodia 856 = 23 × 107, nonagonal number, centered pentagonal number, refactorable number country
800_(number)
Natural number
Spanish version 601 is: a prime number a centered pentagonal number 602 = 2 × 7 × 43. It is: a nontotient the number of cubes of edge length 1 required
600_(number)
Natural number
263. It is: a centered pentagonal number, a nontotient, a Smith number 527 = 17 × 31. It is: palindromic in base 15 (25215) the number of diagonals in
500_(number)
Natural number
31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number. 31 is a prime number, a twin prime (with 29), a super-prime
31_(number)
Natural number
centered polygonal number, 181 is: a centered square number, a centered pentagonal number, a centered dodecagonal number, a centered 18-gonal number,
181_(number)
Natural number
number. 765=32 × 5 × 17. It is an octagonal pyramidal number It is a Japanese word-play for Namco. 766 = 2 × 383. It is: a centered pentagonal number
700_(number)
Natural number
figurate number it is the 23rd triangular number, a hexagonal number, and a centered pentagonal number, the third number after 1 and 6 to have this combination
276_(number)
number Centered polygonal number Centered square number Centered pentagonal number Centered hexagonal number Tetrahedral number Pyramidal number Triangular
List of recreational number theory topics
List_of_recreational_number_theory_topics
Shape with five sides
echinoderms with a pentagonal shape. A Ho-Mg-Zn icosahedral quasicrystal formed as a pentagonal dodecahedron. The faces are true regular pentagons. A pyritohedral
Pentagon
Natural number
function returns 0, refactorable number, self number 425 = 52 × 17, pentagonal number, centered tetrahedral number, sum of three consecutive primes (137
400_(number)
Centered figurate number representing an octahedron
the six vertices of a pentagonal pyramid, and each successive shell forms a larger pentagonal pyramid with a triangular number of points on each triangular
Centered_octahedral_number
Headquarters of the U.S. Department of Defense
with a central five-acre (2.0 ha) pentagonal plaza. About 23,000 military and civilian employees work in the Pentagon, as well as about 3,000 non-defense
The_Pentagon
Natural number
35 is a centered cube number, a centered tetrahedral number, a pentagonal number, and a pentatope number. 35 is a highly cototient number, since there
35_(number)
Natural number
3046 – centered heptagonal number 3052 – decagonal number 3059 – centered cube number 3061 – prime of the form 2p-1 3063 – perfect totient number 3067 –
3000_(number)
Number that represents a hexagon with a dot in the center
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
Centered_hexagonal_number
Catalan solid with 24 faces
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube. In crystallography
Pentagonal_icositetrahedron
Figurate number
385, 506, 650, 819, ... (sequence A000330 in the OEIS). The first few pentagonal pyramidal numbers are: 1, 6, 18, 40, 75, 126, 196, 288, 405, 550, 726
Pyramidal_number
Figurate number
simplest kind of figurate number -- figurate numbers generalize their concept to other two-dimensional polygons, such as the pentagonal numbers, as well as
Triangular_number
Catalan solid with 60 faces
The pentagonal hexecontahedron can be constructed from a snub dodecahedron without taking the dual. Pentagonal pyramids are added to the 12 pentagonal faces
Pentagonal_hexecontahedron
Number of dots in a centred dot square
elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all
Centered_square_number
Number equal to the sum of its proper divisors
hexagonal number. Furthermore, each even perfect number except for 6 is the 2 p + 1 3 {\displaystyle {\tfrac {2^{p}+1}{3}}} -th centered nonagonal number and
Perfect_number
Natural number
from June 1978 to March 1979. Full name is Carlos Cadona. 6028 – centered heptagonal number 6037 – super-prime, prime of the form 2p-1 6042 – 6042 Cheshirecat
6000_(number)
Integer having a non-trivial divisor
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has
Composite_number
Type of figurate number
additional layer. Centered tetrahedral numbers Centered cube numbers Centered octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers
Centered_polyhedral_number
Product of an integer with itself
Every odd square is also a centered octagonal number. Another property of a square number is that (except 0) it has an odd number of positive divisors, while
Square_number
Centered figurate number that represents a decagon with a dot in the center
centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot
Centered_decagonal_number
Type of figurate number
number. The difference between each triangular number increases by 1 each iteration. For square numbers the difference increases by 2. For pentagonal
Polygonal_number
Every positive integer is a sum of at most n n-gonal numbers
fewer pentagonal numbers, and so on. That is, the n-gonal numbers form an additive basis of order n. Three such representations of the number 17, for
Fermat polygonal number theorem
Fermat_polygonal_number_theorem
Number in the 5th cell of any row of Pascal's triangle
pentagonal number and the (3k − 1)th pentatope number is always the ( 3 k 2 + k 2 ) {\displaystyle \left({\tfrac {3k^{2}+k}{2}}\right)} th pentagonal
Pentatope_number
Integer divisible by sum of its digits
In recreational mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written
Harshad_number
Centered figurate number that represents a nonagon with a dot in the center
A centered nonagonal number, (or centered enneagonal number), is a centered figurate number that represents a nonagon with a dot in the center and all
Centered_nonagonal_number
Number divisible only by 1 and itself
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that
Prime_number
Centered figurate number that counts points in a three-dimensional pattern
is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along each of its edges. The first few centered cube numbers
Centered_cube_number
Solid with 12 equal pentagonal faces
regular dodecahedron or pentagonal dodecahedron is a dodecahedron (a polyhedron with 12 faces) composed of regular pentagonal faces, three meeting at
Regular_dodecahedron
US continuity of government bunker in Pennsylvania
Raven Rock Mountain has been called an "underground Pentagon". The bunker has emergency operations centers for the United States Army, Navy, Air Force, and
Raven_Rock_Mountain_Complex
Archimedean solid with 62 faces
of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices, and 120 edges. Johannes Kepler in Harmonices
Rhombicosidodecahedron
Natural number
octahedral number; 8119/5741 ≈ √2 8125 – pentagonal pyramidal number 8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal
8000_(number)
Centered figurate number that represents a triangle with a dot in the center
A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other
Centered_triangular_number
Type of figurate number
both hexagonal and perfect squares starts 1, 1225, 1413721,... OEIS: A046177. Centered hexagonal number Weisstein, Eric W. "Hexagonal Number". MathWorld.
Hexagonal_number
Iterative algorithm on numbers
In number theory, Kaprekar’s routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. Each iteration starts with
Kaprekar's_routine
Natural number
is the 5th triangular number, a hexagonal number, and pentadecagonal number. a centered tetrahedral number. the smallest number that can be factorized
15_(number)
Number, product of consecutive integers
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
Pronic_number
Centered figurate number that represents an octagon with a dot in the center
centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center
Centered_octagonal_number
Numbers with a certain property involving recursive summation
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance
Happy_number
Integer having only small prime factors
In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is
Smooth_number
Correlation theory
killed—Pentagon Press Secretary George Little described the White House Situation Room as looking "like a college fraternity house" due to the large number of
Pentagon_pizza_theory
Centered figurate number
also called centered dodecagonal numbers because star numbers are centered polygonal numbers with a twelve-sided shape. The nth star number is given by
Star_number
Natural number
pentagonal number and a centered square number. 145 = 12 2 + 1 2 = 8 2 + 9 2 {\displaystyle 145=12^{2}+1^{2}=8^{2}+9^{2}} . 145 is the fourth number that
145_(number)
Number that remains the same when its digits are reversed
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are
Palindromic_number
Number used for counting
natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another
Natural_number
Centered figurate number representing a dodecahedron
mathematics, a centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific
Centered_dodecahedral_number
Natural number
number with 5020 5565 – triangular number 5566 – pentagonal pyramidal number 5569 – happy prime 5571 – perfect totient number 5581 – prime of the form 2p-1
5000_(number)
Number equal to the sum of all or some of its divisors
In number theory, a semiperfect number or pseudoperfect number is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect
Semiperfect_number
Prime number of the form 2^n – 1
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer
Mersenne_prime
Natural number
Germain prime, super-prime 7200 – pentagonal pyramidal number 7211 – Sophie Germain prime 7225 = 852, centered octagonal number 7230 = 362 + 372 + 382 + 392
7000_(number)
Class of natural numbers with many divisors
In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is
Superior highly composite number
Superior_highly_composite_number
Recursive integer sequence
they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients
Catalan_number
Centered figurate number representing a tetrahedron
In mathematics, a centered tetrahedral number is a centered figurate number that represents a tetrahedron. That is, it counts the dots in a three-dimensional
Centered_tetrahedral_number
Type of Poulet number
In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle
Super-Poulet_number
Ten raised to an integer power
the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one
Power_of_10
Number used to approximate the square root of 2
starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the
Pell_number
Numbers obtained by adding the two previous ones
Fibonacci sequence in nature, using it to explain the (golden ratio-related) pentagonal form of some flowers. Field daisies most often have petals in counts of
Fibonacci_sequence
Polyhedral number representing a tetrahedron
n is the number of houses. Centered triangular number Simplex number http://demonstrations.wolfram.com/GeometricProofOfTheTetrahedralNumberFormula Baumann
Tetrahedral_number
Two pentagonal pyramids fused base-to-base
A pentagonal bipyramid or pentagonal dipyramid is a polyhedron with ten triangular faces. It is constructed by attaching two pentagonal pyramids to each
Pentagonal_bipyramid
Number that is less than the sum of its proper divisors
In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The
Abundant_number
Natural number
9801 = 992, the largest 4 digit perfect square, centered octagonal number, square pentagonal number, member of a Ruth-Aaron pair (first definition) with
9000_(number)
Class of binary number
In number theory, an evil number is a non-negative integer that has an even number of 1s in its binary expansion. These numbers give the positions of
Evil_number
Numbers that contain only the digit 1
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands
Repunit
Natural number
(seven) is the natural number following 6 and preceding 8. It is the only prime number preceding a cube. As an early prime number in the series of positive
7
Numbers that evenly divide powers of 60
length be a regular number. Book VIII of Plato's Republic involves an allegory of marriage centered on the highly regular number 604 = 12,960,000 and
Regular_number
Natural number
(five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. Humans, and
5
Number that is the numerator of the generalized harmonic number H_(n,2)
In mathematics, a Wolstenholme number is a number that is the numerator of the generalized harmonic number Hn,2. The first such numbers are 1, 5, 49,
Wolstenholme_number
Numbers parameterizing ways to partition a set
particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Model for predicting molecular geometry
less common. The steric number of 7 occurs in iodine heptafluoride (IF7); the base geometry for a steric number of 7 is pentagonal bipyramidal. The most
VSEPR_theory
Integer filtered out using a sieve similar to that of Eratosthenes
In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes
Lucky_number
Centered figurate number that represents a heptagon with a dot in the center
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center
Centered_heptagonal_number
Odd number with specific properties
In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers
Sierpiński_number
Base-dependent property of integers
In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can
Kaprekar_number
Number whose divisors summed twice over equal twice itself
In number theory, a superperfect number is a positive integer n that satisfies σ 2 ( n ) = σ ( σ ( n ) ) = 2 n , {\displaystyle \sigma ^{2}(n)=\sigma (\sigma
Superperfect_number
Abundant number whose proper divisors are all deficient numbers
primitive abundant number is an abundant number whose proper divisors are all deficient numbers. For example, 20 is a primitive abundant number because: The
Primitive_abundant_number
Number that has fewer digits than the number of digits in its prime factorization
In number theory, an extravagant number (also known as a wasteful number) is a natural number in a given number base that has fewer digits than the number
Extravagant_number
Polyhedron with 12 faces
self-intersecting equilateral pentagonal faces. A tetartoid (also tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon dodecahedron)
Dodecahedron
Two raised to an integer power
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as
Power_of_two
Tiling of the plane by pentagons
In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. A regular pentagonal tiling on the
Pentagonal_tiling
Count of the possible partitions of a set
2,5,15,52,203,877,4140,\dots } (sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts the different ways to partition a set that
Bell_number
Numbers k where x - phi(x) = k has many solutions
In number theory, a branch of mathematics, a highly cototient number is a positive integer k {\displaystyle k} which is above 1 and has more solutions
Highly_cototient_number
Type of number introduced by Mike Keith
mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n {\displaystyle n} in a given number base b {\displaystyle
Keith_number
Solid with twenty equal triangular faces
can be constructed from a pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of its pentagonal faces, or by putting points
Regular_icosahedron
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
Girl/Female
Hindu
Holy water, Pilgrimage centers
Boy/Male
Tamil
Prankit | பà¯à®°à®¨à¯à®•à®¿à®¤
Center of attraction
Prankit | பà¯à®°à®¨à¯à®•à®¿à®¤
Girl/Female
Hindu
Holy water, Pilgrimage centers
Boy/Male
Biblical
Prisoner; fettered.
Boy/Male
Muslim
Centered
Boy/Male
Arabic, Muslim
Centred
Boy/Male
Muslim
Censured, Blamed
Biblical
prisoner; fettered
Boy/Male
Gujarati, Hindu, Indian
Core; Centre; Heart's Feeling
Girl/Female
Tamil
Holy water, Pilgrimage centers
Biblical
fettered by beauty
Boy/Male
Hindu, Indian
A Pilgrim Centre in India
Boy/Male
Arabic, Muslim
Censured; Blamed
Boy/Male
Indian, Modern
Center of Attraction
Girl/Female
Australian, Finnish, Japanese
In the Middle of the Ocean; Ocean Centred
Boy/Male
Hindu, Indian, Sanskrit
The Heart Center
Boy/Male
Indian
Centered
Girl/Female
Tamil
Holy water, Pilgrimage centers
Boy/Male
Hindu, Indian, Marathi, Sanskrit
Center
Surname or Lastname
English
English : metonymic occupational name for a maker of belts and girdles, from Middle English ceinture, ceintere ‘girdle’.Possibly an Americanized form of German Zehnder, a variant of Zehner.
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
Boy/Male
Tamil
Ascending
Female
Polish
Hawaiian and Polish form of Greek Eva, EWA means "life."
Boy/Male
Hindu, Indian
Dedicated
Surname or Lastname
English
English : probably a variant spelling of Chatton, a habitational name from Chatton in Northumberland, named with the Old English personal name Ceatta + Old English tūn ‘settlement’, ‘farmstead’. Compare Chatten.
Girl/Female
Muslim/Islamic
She was a companion
Female
Danish
, a stone.
Girl/Female
Muslim
Thankful
Boy/Male
Hindu, Indian, Marathi
Rescuer; King
Boy/Male
Arabic, Muslim
Goodness of the Faith
Surname or Lastname
Variant of German Jordan.English
Variant of German Jordan.English : perhaps an altered spelling of Gordon.
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
CENTERED PENTAGONAL-NUMBER
v. i.
To be placed in a center; to be central.
imp. & p. p.
of Centre
v. t.
To place or fix in the center or on a central point.
a.
Not centered; without a center.
v. t.
Alt. of Centre
a.
Seeming as if fettered, as the feet of certain animals which bend backward, and appear unfit for walking.
v. i.
Alt. of Centre
n. & v.
See Center.
a.
Alt. of Self-centred
v. t.
To form a recess or indentation for the reception of a center.
a.
Affected with canker; as, a cankered mouth.
a.
Having five corners or angles.
a.
Centered in itself, or in one's self.
n.
A pentagon.
a.
Heptagonal.
n.
The pentagonal dodecahedron, a common form of pyrite.
a.
Pentagonal.
adv.
In the form of a pentagon; with five angles.