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Modular arithmetic concept
number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. In symbols, g is a primitive root modulo n if
Primitive_root_modulo_n
Number with an integer power equal to 1
2\not \equiv 4{\pmod {4}}.} Let z be a primitive nth root of unity. A power w = zk of z is a primitive ath root of unity for a = n gcd ( k , n ) , {\displaystyle
Root_of_unity
Topics referred to by the same term
In mathematics, a primitive root may mean: Primitive root modulo n in modular arithmetic Primitive nth root of unity amongst the solutions of zn = 1 in
Primitive_root
divisors modulo n. A primitive root modulo n, is a generator of the group of units of the ring of integers modulo n. There exist primitive roots modulo n if
Root_of_unity_modulo_n
Computation modulo a fixed integer
(mod p) has at most d non-congruent solutions. Primitive root modulo m: A number g is a primitive root modulo m if, for every integer a coprime to m,
Modular_arithmetic
Conjecture in number theory
Artin's conjecture on primitive roots states that a given integer a that is neither a square number nor −1 is a primitive root modulo infinitely many
Artin's conjecture on primitive roots
Artin's_conjecture_on_primitive_roots
Generator of the multiplicative group of a finite field
other words, α ∈ GF(q) is called a primitive element if it is a primitive (q − 1)th root of unity in GF(q); this means that each non-zero element of GF(q)
Primitive element (finite field)
Primitive_element_(finite_field)
(OEIS: A088165) Primes p for which the least positive primitive root is not a primitive root of p2. Three such primes are known; it is not known whether
List_of_prime_numbers
Complex-valued arithmetic function
Euler's totient function. ζ n {\displaystyle \zeta _{n}} is a complex primitive n-th root of unity: ζ n n = 1 , {\displaystyle \zeta _{n}^{n}=1,} but ζ n ≠
Dirichlet_character
Method of exchanging cryptographic keys
multiplicative group of integers modulo p, where p is prime, and g is a primitive root modulo p. To guard against potential vulnerabilities, it is recommended
Diffie–Hellman_key_exchange
Group of units of the ring of integers modulo n
{\displaystyle (\mathbb {Z} /n\mathbb {Z} )^{\times }} is called a primitive root modulo n. If there is any generator, then there are φ ( φ ( n ) ) {\displaystyle
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Discrete Fourier transform algorithm
on the fact that e − 2 π i / n {\textstyle e^{-2\pi i/n}} is an nth primitive root of unity, and thus can be applied to analogous transforms over any finite
Fast_Fourier_transform
Prime pair of the form (p, 2p+1)
except −1 (if nonresidue), is a primitive root. It follows that for a safe prime, the least positive primitive root is a prime number. With the exception
Safe and Sophie Germain primes
Safe_and_Sophie_Germain_primes
Spreading of sound energy
in either one or two directions. Primitive-root diffusors are based on a number theoretic sequence based on primitive roots. Although they produce a notch
Diffusion_(acoustics)
Problem of inverting exponentiation in groups
{\displaystyle b^{k}\equiv a{\pmod {m}}} if b {\displaystyle b} is a primitive root of m {\displaystyle m} and gcd ( a , m ) = 1 {\displaystyle \gcd(a,m)=1}
Discrete_logarithm
Topics referred to by the same term
permutation group Primitive root of unity; See Root of unity Primitive triangle, an integer triangle whose sides have no common prime factor Primitive (phylogenetics)
Primitive
Class of prime numbers
multiplicative order ordp b = p − 1, which is equivalent to b being a primitive root modulo p. The term "long prime" was used by John Conway and Richard
Full_reptend_prime
Field theory theorem
In field theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This
Primitive_element_theorem
Irreducible polynomial whose roots are nth roots of unity
rational numbers of any primitive nth-root of unity ( e 2 i π / n {\displaystyle e^{2i\pi /n}} is an example of such a root). An important relation linking
Cyclotomic_polynomial
Algebraic structure
every n p {\displaystyle np} th root of unity is also a n {\displaystyle n} th root of unity. It follows that primitive n p {\displaystyle np} th roots
Finite_field
Fractal composed of tangent circles
one can find all the primitive root quadruples. The following Python code demonstrates this algorithm, producing the primitive root quadruples listed above
Apollonian_gasket
Type of linear congruential generator with no additive constant
multiplier a is an element of high multiplicative order modulo m (e.g., a primitive root modulo n), and the seed X0 is coprime to m. Other names are multiplicative
Lehmer random number generator
Lehmer_random_number_generator
Minimal polynomial of a primitive element in a finite field
of degree m with coefficients in GF(p) = Z/pZ is a primitive polynomial if it is monic and has a root α in GF(pm) such that { 0 , 1 , α , α 2 , α 3 , …
Primitive polynomial (field theory)
Primitive_polynomial_(field_theory)
Topics referred to by the same term
In mathematics, the term primitive element can mean: Primitive root modulo n, in number theory Primitive element (field theory), an element that generates
Primitive_element
Decimal representation of a number whose digits are periodic
only if 10 is a primitive root modulo n. In particular, it follows that L(p) = p − 1 if and only if p is a prime and 10 is a primitive root modulo p. Then
Repeating_decimal
Error-correcting codes
make the code cyclic. In particular, if α {\displaystyle \alpha } is a primitive root of the field F {\displaystyle F} , then by definition all non-zero elements
Reed–Solomon_error_correction
Function in mathematical number theory
whose order equals the exponent, λ(n). Such an element is called a primitive λ-root modulo n. The Carmichael function is named after the American mathematician
Carmichael_function
Last letter of the Greek alphabet
including 0 (sometimes written ω 0 {\displaystyle \omega _{0}} ) A primitive root of unity, like the complex cube roots of 1 The Wright Omega function
Omega
Relationship between the rational roots of a polynomial and its extreme coefficients
product of primitive polynomials. Now any rational root p/q corresponds to a factor of degree 1 in Q[X] of the polynomial, and its primitive representative
Rational_root_theorem
Natural number
is the only odd prime p {\displaystyle p} known for which 2 is not a primitive root of 4 p 2 + 1 {\displaystyle 4p^{2}+1} . It is the thirteenth Pierpont
193_(number)
Fungus-plant symbiotic association
consensus among paleomycologists that mycorrhizal fungi served as a primitive root system for early terrestrial plants. This is because, prior to plant
Mycorrhiza
Mathematical conjecture about zeros of L-functions
guaranteed to run in polynomial time. For every prime p there exists a primitive root mod p (a generator of the multiplicative group of integers modulo p)
Generalized Riemann hypothesis
Generalized_Riemann_hypothesis
Ancient Greek goddess
royal appellation Artemas of Xenophon". Charles Anthon argued that the primitive root of the name is probably of Persian origin from *arta, *art, *arte, all
Artemis
Discrete Fourier transform for prime sizes
groups is that there exists a generator of the group (sometimes called a primitive root, which can be found by exhaustive search or slightly better algorithms)
Rader's_FFT_algorithm
Field extension of the rational numbers by a primitive root of unity
{\displaystyle \zeta _{n}=e^{2\pi i/n}\in \mathbb {C} .} This is a primitive n {\displaystyle n} th root of unity. Then the n {\displaystyle n} th cyclotomic field
Cyclotomic_field
Equation for radii of tangent circles
reduction is possible. A root quadruple is said to be primitive if it has no nontrivial common divisor. Every primitive root quadruple can be found from
Descartes'_theorem
Concept in modular arithmetic
equal to φ(n), and therefore as large as possible, then a is called a primitive root modulo n. This means that the group U(n) is cyclic and the residue class
Multiplicative_order
Type of algebraic field extension
\mathbb {Q} ({\sqrt[{3}]{2}}).} Let ω {\displaystyle \omega } be a primitive cubic root of unity. Then since, Q ( 2 3 ) = { a + b 2 3 + c 4 3 ∈ Q ¯ | a
Normal_extension
Branch of the Afroasiatic languages
in some cases counting). The primitive root ṣ-f and the trilateral root stems m-ṣ-f, ṣ-h-f, and ṣ-f-r are used. This root also exists in other Semitic
Semitic_languages
Natural number
N. J. A. (ed.). "Sequence A001913 (Full reptend primes: primes with primitive root 10.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
313_(number)
Music recording studio in Berry Hill, Tennessee, US
Diffusor Systems founder Peter D'Antonio, Ph.D., Studio C features a primitive root sequence diffusor made up of 138,646 individual pieces of wood. Studio
Blackbird_Studio
{\displaystyle K} is finite, then so is L {\displaystyle L} , and any primitive root of L {\displaystyle L} will generate the field extension. If K {\displaystyle
Steinitz's theorem (field theory)
Steinitz's_theorem_(field_theory)
Equations of degree 5 or higher cannot be solved by radicals
{\displaystyle K_{i}} that extends F i − 1 {\displaystyle F_{i-1}} by a primitive root of unity, and one redefines F i {\displaystyle F_{i}} as K i ( x i )
Abel–Ruffini_theorem
Pair of polynomial sequences
i {\displaystyle x-g_{i}} where each g i {\displaystyle g_{i}} is a primitive root of unity. Thus, we obtain: x n C n ( x + 1 x ) = ∏ d ≥ 3 , d ∣ 4 n
Chebyshev_polynomials
Algorithm for checking if a number is prime
implying that n is prime. Conversely, if n is prime, then there exists a primitive root modulo n, or generator of the group (Z/nZ)*. Such a generator has order
Lucas_primality_test
Ties Legendre symbols to permutation signatures
numbers mod p, which is a cyclic group of order p − 1. The jth power of a primitive root modulo p will have index the greatest common divisor i = (j, p − 1)
Zolotarev's_lemma
Natural number
N. J. A. (ed.). "Sequence A001913 (Full reptend primes: primes with primitive root 10)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
229_(number)
Mathematical group based upon a finite number of elements
of this group is as the complex nth roots of unity. Sending a to a primitive root of unity gives an isomorphism between the two. This can be done with
Finite_group
Mathematical group that can be generated as the set of powers of a single element
group under multiplication. It is cyclic, since it is generated by the primitive root z = 1 2 + 3 2 i = e 2 π i / 6 : {\displaystyle z={\tfrac {1}{2}}+{\tfrac
Cyclic_group
Power of a prime number
numbers. Every prime power excluding powers of 2 greater than 4 has a primitive root; thus the multiplicative group of integers modulo pn (that is, the group
Prime_power
1839 mathematical tables by Carl Jacobi
choice of primitive root, by Wilhelm Patz. Jacobi's original tables use 10 or −10 or a number with a small power of this form as the primitive root whenever
Canon_arithmeticus
{\displaystyle p} be an odd prime, and let g {\displaystyle g} be a primitive root modulo p {\displaystyle p} . Let x 0 {\displaystyle x_{0}} be a seed
Blum–Micali_algorithm
Natural number
On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Wolfram MathWorld; Primitive Root Wikimedia Commons has media related to 191 (number). v t e
191_(number)
Generalisation of Fourier transform to any ring
fields), it is sufficient to choose α {\displaystyle \alpha } as a primitive nth root of unity, which replaces the condition (1) by: α k ≠ 1 {\displaystyle
Discrete Fourier transform over a ring
Discrete_Fourier_transform_over_a_ring
Reflex actions in infants
Primitive reflexes are reflex actions originating in the central nervous system that are exhibited by normal infants, but not neurologically intact adults
Primitive_reflexes
Theorem on prime numbers
for which the product is −1 are precisely the ones where there is a primitive root modulo m. Wilson prime Table of congruences Agoh–Giuga conjecture Because
Wilson's_theorem
conjecture on primitive roots that if an integer is neither a perfect square nor − 1 {\displaystyle -1} , then it is a primitive root modulo infinitely
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Natural number
N. J. A. (ed.). "Sequence A001913 (Full reptend primes: primes with primitive root 10.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
181_(number)
Function in discrete mathematics
N = e − i 2 π / N {\displaystyle \omega _{N}=e^{-i2\pi /N}} is a primitive Nth root of unity. For example, in the case when N = 2 {\displaystyle N=2}
Discrete_Fourier_transform
Integer whose multiples are digit rotations
specifically, this sequence is the set of primes p such that b is a primitive root modulo p. A conjecture of Emil Artin is that this sequence contains
Cyclic_number
totient function Noncototient Nontotient Euler's theorem Wilson's theorem Primitive root modulo n Multiplicative order Discrete logarithm Quadratic residue Euler's
List_of_number_theory_topics
Positive integer of the form (2^(2^n))+1
multiply this by a number A, which is greater than the square root of P and is a primitive root modulo P (i.e., it is not a quadratic residue). Then take
Fermat_number
American actress
Chem. Soc. 2013, 135(16):6092-9. Erdos, P. and Shapiro H.N., On The Least Primitive Root Of A Prime, 1957, euclidproject.org. Eunice Cho at IMDb v t e
Eunice_Cho
Describes statistically the splitting of primes in a given Galois extension of Q
extensions, obtained from the field of rational numbers by adjoining a primitive root of unity of a given order. For example, the ordinary integer primes
Chebotarev_density_theorem
Umbrella term for deadly disease, especially of livestock
word in Hebrew is דֶּבֶר "dever" (Strong's #01698), derived from the primitive root "dabar" in the sense of "to destroy." In some parts of Scotland, force-fire
Murrain
Algorithm for determining whether a number is prime
number a modulo n is n − 1 for a prime n when a is a primitive root modulo n. If we can show a is primitive for n, we can show n is prime. Riesel (1994) pp
Primality_test
Filtration of the Galois group of a local field extension
where ζ {\displaystyle \zeta } is a p n {\displaystyle p^{n}} -th primitive root of unity, can be described explicitly: G s = Gal ( K n / K e ) , {\displaystyle
Ramification_group
Lists of values of mathematical functions
by employing Newton's method in the complex plane to solve for the primitive root of zN − 1). This method would produce an exact table in exact arithmetic
Trigonometric_table
Theorems that help decompose a finite group based on prime factors of its order
m}&0\\0&x^{jm}\end{bmatrix}}} , x is any primitive root of Fq. Since the order of Fq is q − 1, its primitive roots have order q − 1, which implies that
Sylow_theorems
Points with distinct displacement vectors
by Lloyd R. Welch. The Welch–Costas array is constructed by taking a primitive root g of a prime number p and defining the array A by A i , j = 1 {\displaystyle
Costas_array
Concept that is not defined in terms of previously defined concepts
In mathematics, logic, philosophy, and formal systems, a primitive notion is a concept that is not defined in terms of previously defined concepts. It
Primitive_notion
Basal organ of a vascular plant
vigorous root systems are essential for crop stability and prevention of lodging. Absorption of water and mineral nutrients. Root epidermal cells and root hairs
Root
Field extension generated by a one element
is a root of an irreducible polynomial of degree n in K [ X ] {\displaystyle K[X]} . However, in the case of finite fields, the term primitive element
Simple_extension
Mathematical tree of integer right triangles
tree of primitive Pythagorean triples is a mathematical tree in which each node represents a primitive Pythagorean triple and each primitive Pythagorean
Tree of primitive Pythagorean triples
Tree_of_primitive_Pythagorean_triples
Polynomial in which all coefficients are one
and 2 is a primitive root modulo m + 1 (over GF(p) with prime p, it is irreducible if and only if m + 1 is prime and p is a primitive root modulo m +
All_one_polynomial
Type of prime number
{\displaystyle \pm 1} term is positive if and only if n {\displaystyle n} has a primitive root and negative otherwise. For every natural number n {\displaystyle n}
Wilson_prime
Theoretical object in mathematics
the cyclic group of order n, the isomorphism depending on choice of a primitive root of unity: F 1 n = μ n . {\displaystyle \mathbf {F} _{1^{n}}=\mu _{n}
Field_with_one_element
American journalist (born 1967)
an unusual-looking uncircumcised penis that Dreher described as a "primitive root wiener". Dreher said he intends to continue blogging and may also contribute
Rod_Dreher
Integer side lengths of a right triangle
(3, 4, 5) is a primitive Pythagorean triple whereas (6, 8, 10) is not. Every Pythagorean triple can be scaled to a unique primitive Pythagorean triple
Pythagorean_triple
^{ij},0\leq j\leq N-1,} where α {\displaystyle \alpha } is the N-th primitive root of 1 in G F ( p m ) {\displaystyle \mathrm {GF} (p^{m})} . If the polynomial
Cyclotomic fast Fourier transform
Cyclotomic_fast_Fourier_transform
Concept in quantum information theory
factor ω {\displaystyle \omega } . If ω {\displaystyle \omega } is a primitive root of unity, for example ω ≡ e 2 π i d {\displaystyle \omega \equiv e^{\frac
Mutually_unbiased_bases
Unique positive real number which when multiplied by itself gives 2
The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. It may be written
Square_root_of_2
Construction on any polygon that yields a regular polygon with the same number of sides
= ( 1 − ωσj )−1( S − ωσj I ) Aj , where ω = exp( 2πi/n ) is the nth primitive root of unity and σj is the jth term of a permutation σ of the integer sequence
Petr–Douglas–Neumann_theorem
Rational numbers with root 5 added
subfield of Q ( ζ ) {\displaystyle \mathbb {Q} (\zeta )} . For any primitive root of unity ζ n {\displaystyle \zeta _{n}} , the maximal real subfield
Golden_field
Fast Fourier transform algorithm
{\displaystyle N-1} and ω N {\displaystyle \omega _{N}} denotes the primitive root of unity: ω N = e − 2 π i N , {\displaystyle \omega _{N}=e^{-{\frac
Split-radix_FFT_algorithm
Austrian mathematician (1898–1962)
group; and the second the frequency with which a given integer a is a primitive root modulo primes p, when a is fixed and p varies. These are unproven; in
Emil_Artin
{\displaystyle p^{n}} , generated by any choice of a primitive pnth root of unity ζpn. Since all of the primitive roots in μ p n {\displaystyle \mu _{p^{n}}} are
Cyclotomic_character
Conditions under which the congruence x^3 equals p (mod q) is solvable
to let e be a primitive root (mod p); then the first (resp. second, third) set is the numbers whose indices with respect to this root are congruent to
Cubic_reciprocity
Russian mathematician (1937–2008)
{\displaystyle n\leq x} , for which ( n + a ) {\displaystyle (n+a)} is a primitive root modulo q {\displaystyle q} , one gets an asymptotic expression of the
Anatoly_Karatsuba
Polynomial equation of degree 3
by the primitive cube root of unity ε 1 = − 1 + i 3 2 , {\displaystyle \varepsilon _{1}={\frac {-1+i{\sqrt {3}}}{2}},} and the other cube root by the
Cubic_equation
Conditions in number theory
division is to let g be a primitive root (mod p); then the first set is all the numbers whose indices with respect to this root are ≡ 0 (mod 4), the second
Quartic_reciprocity
Repeated sum of a number's digits
The digital root (also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing
Digital_root
Method for generating sequences of random integers
{\displaystyle 8k\pm 1} , b = 2 k {\displaystyle b=2^{k}} cannot be a primitive root of p = a b r − 1 {\displaystyle p=ab^{r}-1} . Therefore, MWC generators
Multiply-with-carry pseudorandom number generator
Multiply-with-carry_pseudorandom_number_generator
Concept in ring theory
F ( b ) {\displaystyle \chi _{n,F}(b)} . Then, since there exists a primitive root of unity ζ ∈ μ n ⊂ F {\displaystyle \zeta \in \mu _{n}\subset F} , there
Azumaya_algebra
Function whose domain is the positive integers
prime)}}.\end{cases}}} See Multiplicative group of integers modulo n and Primitive root modulo n. 2 ω ( n ) ≤ d ( n ) ≤ 2 Ω ( n ) . {\displaystyle 2^{\omega
Arithmetic_function
Belief that Christianity should return to the form of the early apostolic church
deficiencies, in other branches of Christianity, by appealing to the primitive church as normative model". Efforts to restore an earlier, purer form
Restorationism
Formal power series
generally, suppose that a ≥ 3 and that ωa = exp 2πi/a denotes the ath primitive root of unity. Then, as an application of the discrete Fourier transform
Generating_function
Circle-like pointset in a geometric plane
t14 + t18 + t22 + t26) + η20(t8 + t20) + η6(t12 + t24), where η is a primitive root of GF(32) satisfying η5 = η2 + 1. As the hyperovals in the Desarguesian
Oval_(projective_plane)
Fourier-related mathematical transform
algorithm is the constraint that each dimension of the transform has a primitive root. Hartley, Ralph V. L. (March 1942). "A More Symmetrical Fourier Analysis
Discrete_Hartley_transform
Theorem in linear algebra
(or more generally primitive) matrix, then there exists a real positive eigenvalue r (Perron–Frobenius eigenvalue or Perron root), which is strictly
Perron–Frobenius_theorem
PRIMITIVE ROOT
PRIMITIVE ROOT
Girl/Female
Danish, Finnish, French, German, Latin, Swedish
Ancient; Primitive; Venerable
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : nickname from Old French doubel ‘twin’ (literally ‘double’, from Late Latin duplus, classical Latin duplex, from du(o) ‘two’ + plek, a root meaning ‘fold’).
Surname or Lastname
English
English : from Middle English Kipp, perhaps a byname for a fat man, from an unattested Old English form Cyppe, which according to Reaney is from the Germanic root kupp ‘to swell’.German : topographic name for someone living on a hill, from Kippe ‘edge’, ‘brink’.German : from Sorbian kipry ‘weak’ (Czech kyprý).
Surname or Lastname
English
English : from Old French Gascogne ‘Gascony’, hence a regional name. The name of the region derives from that of the Basques, who are found close by and formerly extended into this region as well; they are first named in Roman sources as VascÅnes, but the original meaning of the name, derived from a root eusk- in the non-Indo-European language that they still speak today, is completely obscure. By the Middle Ages the Basques had been displaced from most of Gascony by speakers of Gascon (a dialect of Occitan, related to French), who were proverbial for their boastfulness. In the 11th century Gascony united with Aquitaine and was thus held by England between 1154 and 1453. See Gascon.
Surname or Lastname
English (Cornish)
English (Cornish) : from a short form of the female personal name Jennifer, from Welsh Gwenhwyfar (see Gaynor). Until the 19th century Jennifer was a characteristically Cornish name.German : of uncertain origin; possibly from a Celtic root or from a short form of Heinrich (see Henry) or Johannes (see John).
Boy/Male
Arabic, Hindu, Indian, Muslim, Sindhi
Ancient; Antique; Old; Primitive; Without Any Beginning or End
Girl/Female
American, Australian, Chinese, Finnish, French, Latin, Portuguese, Swedish
Ancient; Primitive; Venerable
Surname or Lastname
English
English : German : from the personal name Keno, derivative of Konrad.German : patronymic from the Frisian personal name Keno; alternatively, but less likely, from a derivation of the old Nordic root gan ‘spell’, ‘magic’, which was used in personal names.
Surname or Lastname
English
English : patronymic from Root 1.
Surname or Lastname
English
English : probably a habitational name from ‘The Leen’ (earlier Leon, ‘at the streams’) in Hereford or the Leen river in Nottinghamshire. Both are derived from a Celtic root verb lei- ‘flow’ (for example as in Welsh lliant ‘stream’).English : variant spelling of Lean.
Surname or Lastname
English
English : metonymic occupational name for a dyer or seller of dye, from Middle English mad(d)er ‘madder’ (Old English mædere), a pink to red dye obtained from the roots of the madder plant.German and Dutch (Mader, Mäder) : occupational name for a reaper or mower, Middle High German mÄder, mæder, Middle Dutch mader.French (southwestern and southeastern) : metonymic occupational name for a carpenter.
Surname or Lastname
English and Jewish (Ashkenazic)
English and Jewish (Ashkenazic) : habitational name for someone who came from London or a nickname for someone who had made a trip to London or had some other connection with the city. In some cases, however, the Jewish name was purely ornamental. The place name, recorded by the Roman historian Tacitus in the Latinized form Londinium, is obscure in origin and meaning, but may be derived from pre-Celtic (Old European) roots with a meaning something like ‘place at the navigable or unfordable river’.
Surname or Lastname
English
English : nickname, sometimes ironic, from Middle English, Old French gentil ‘well born’, ‘noble’, ‘courteous’ (Latin gentilis, from gens ‘family’, ‘tribe’, itself from the root gen- ‘to be born’).
Girl/Female
American, Australian, Biblical, British, Chinese, Christian, Danish, English, Finnish, French, German, Gothic, Italian, Latin, Portuguese, Swedish
Ancient; Primitive; Venerable
Girl/Female
German, Latin
Archaic; Ancient; Old; Primitive
Surname or Lastname
English
English : variant of Roots.
Surname or Lastname
English
English : probably for the most part a topographic name for someone who lived near the trunk or stump of a large tree, Middle English stocke (Old English stocc). In some cases the reference may be to a primitive foot-bridge over a stream consisting of a felled tree trunk. Some early examples without prepositions may point to a nickname for a stout, stocky man or a metonymic occupational name for a keeper of punishment stocks.German : from Middle German stoc ‘tree’, ‘tree stump’, hence a topographic name equivalent to 1, but sometimes also a nickname for an impolite or obstinate person.Jewish (Ashkenazic) : ornamental name from German Stock ‘stick’, ‘pole’.
Surname or Lastname
English
English : nickname for a cheerful person, from Middle English rote ‘glad’ (Old English rÅt).English : metonymic occupational name for a player on the rote, an early medieval stringed instrument (Middle English, Old French rote, of uncertain origin but apparently ultimately akin to Welsh crwth).Dutch : topographic name for someone who lived by a retting place (Dutch root, a derivative of ro(o)ten ‘to ret’, akin to modern English rot), a place where flax is soaked in tubs of water until the stems rot to release the linen fibers.
Surname or Lastname
English, Scottish, Irish, French, Dutch, German, Czech, Slovak, Spanish (MartÃn), Italian (Venice), etc.
English, Scottish, Irish, French, Dutch, German, Czech, Slovak, Spanish (MartÃn), Italian (Venice), etc. : from a personal name (Latin Martinus, a derivative of Mars, genitive Martis, the Roman god of fertility and war, whose name may derive ultimately from a root mar ‘gleam’). This was borne by a famous 4th-century saint, Martin of Tours, and consequently became extremely popular throughout Europe in the Middle Ages. As a North American surname, this form has absorbed many cognates from other European forms.English : habitational name from any of several places so called, principally in Hampshire, Lincolnshire, and Worcestershire, named in Old English as ‘settlement by a lake’ (from mere or mær ‘pool’, ‘lake’ + tÅ«n ‘settlement’) or as ‘settlement by a boundary’ (from (ge)mære ‘boundary’ + tÅ«n ‘settlement’). The place name has been charged from Marton under the influence of the personal name Martin.
Surname or Lastname
English, German, Dutch, and Jewish
English, German, Dutch, and Jewish : from the personal name Michael, ultimately from Hebrew Micha-el ‘Who is like God?’. This was borne by various minor Biblical characters and by one of the archangels, the protector of Israel (Daniel 10:13, 12:1; Rev. 12:7). In Christian tradition, Michael was regarded as the warrior archangel, conqueror of Satan, and the personal name was correspondingly popular throughout Europe, especially in knightly and military families. In English-speaking countries, this surname is also found as an Anglicized form of several Greek surnames having Michael as their root, for example Papamichaelis ‘Michael the priest’ and patronymics such as Michaelopoulos.
PRIMITIVE ROOT
PRIMITIVE ROOT
Girl/Female
Muslim
Close, Intimate, Good friend, Continuous
Boy/Male
Irish
From the Latin patricius “â€nobly born.â€â€ The patron saint of Ireland, it is hard to differentiate between fact and myth. What is probably true is that he was born in Britain around 373 AD and was brought to Ireland as a slave at the age of seven, possibly by Niall of the Nine Hostages (read the legend). Forced to guard sheep on the Slemish Mountains in Country Antrim for six years he had a vision urging him to convert his captors. He escaped to France where he trained as a priest before returning to Ireland where he banished the snakes (i.e. paganism) and converted the population to Christianity. Both Patrick and Padraig are very popular names in Ireland.
Female
Welsh
Welsh name derived from the word dilys, DILYS means "genuine, steadfast, true."
Girl/Female
Muslim/Islamic
Prophet's first wife
Boy/Male
Bengali, Hindu, Indian, Kannada, Tamil, Traditional
Ruler of Yaalpaanam
Boy/Male
Indian, Marathi
Continuous Calling to Lord Ganesh
Girl/Female
Danish, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Telugu
Begining; Time
Boy/Male
Tamil
Autumn, Super boy, Complete or meaningful
Girl/Female
British, English
Strength
Girl/Female
English Latin
Silence. Also an abbreviation of Anastacia.
PRIMITIVE ROOT
PRIMITIVE ROOT
PRIMITIVE ROOT
PRIMITIVE ROOT
PRIMITIVE ROOT
a.
Primitive; primary; original.
n.
The primitive form of fin, like that of Ceratodus.
n.
An original form; primitive word; root.
a.
Implying privation or negation; giving a negative force to a word; as, alpha privative; privative particles; -- applied to such prefixes and suffixes as a- (Gr. /), un-, non-, -less.
pl.
of Primitia
a.
Promotive of abstemiousness.
n.
An original or primary word; a word not derived from another; -- opposed to derivative.
a.
First in order of time; original; primeval; primitive; primary.
n.
The primitive cell in certain embryonic forms.
a.
Original; primary; radical; not derived; as, primitive verb in grammar.
n.
The primitive perivisceral cavity.
a.
Being of the first production; primitive; original.
a.
Of or pertaining to the beginning or origin, or to early times; original; primordial; primeval; first; as, primitive innocence; the primitive church.
a.
Of or pertaining to a former time; old-fashioned; characterized by simplicity; as, a primitive style of dress.
a.
Pristine; primitive.
pl.
of Primitia
n.
The quality or state of being primitive; conformity to primitive style or practice.
n.
A term indicating the absence of any quality which might be naturally or rationally expected; -- called also privative term.
n.
A privative prefix or suffix. See Privative, a., 3.
a.
Involving a limit; as, a limitive law, one designed to limit existing powers.