Search references for NONCOTOTIENT. Phrases containing NONCOTOTIENT
See searches and references containing NONCOTOTIENT!NONCOTOTIENT
Positive integers with specific properties
In number theory, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime
Noncototient
Natural number
southern Alberta. 404 = 22 × 101, Mertens function returns 0, nontotient, noncototient, number of integer partitions of 20 with an alternating permutation.
400_(number)
Natural number
number, and an untouchable number. 326 = 2 × 163. 326 is a nontotient, noncototient, and an untouchable number. 326 is the sum of the 14 consecutive primes
300_(number)
Natural number
notation. 10 is a composite number and a happy number. 10 is the smallest noncototient number. Ten is the fourth triangular number and the third tetrahedral
10
Natural number
any number. It is the first untouchable number larger than 2 and 5. a noncototient since it is not equal to x − φ(x) for any x . a vertically symmetrical
52_(number)
Natural number
whose digit sum in decimal is the same as it is in binary. 222 is a noncototient, meaning that it cannot be written in the form n − φ(n) where φ is Euler's
222_(number)
Natural number
of squares of divisors of 19, Mertens function returns 0, nontotient, noncototient. 364 = 2 2 × 7 × 13 {\displaystyle 364=2^{2}\times 7\times 13} , tetrahedral
360_(number)
Natural number
between any integer and the total of coprimes below it, making it a noncototient. 100 has a reduced totient of 20, and an Euler totient of 40. A totient
100
Natural number
Nor is there a solution to the equation x − φ(x) = 34, making 34 a noncototient. It is the third Erdős–Woods number, following 22 and 16. It is the ninth
34_(number)
Natural number
293. 292 is an even composite number with two prime factors. 292 is a noncototient number meaning that phi(x) cannot result in 292. 292 is an untouchable
292_(number)
Natural number
number following 129 and preceding 131. 130 is a sphenic number. It is a noncototient since there is no answer to the equation x - φ(x) = 130. 130 is the only
130_(number)
Natural number
310 is a sphenic number meaning that it has 3 prime factors. 310 is a noncototient number which means that m − φ(m) = n has no solution for n=310. 310 is
310_(number)
Natural number
even composite number with two prime factors. 298 is a nontotient and noncototient number which means that phi(x) and x-phi(x) both cannot result in 298
298_(number)
Natural number
difference between an integer and the total of coprimes below it, so it is a noncototient. There are 186 different pentahexes, shapes formed by gluing together
186_(number)
Natural number
with exactly 122 integers with common factors below it, making 122 a noncototient as well. 122 is a semiprime. φ(122) = φ(σ(122)).[clarification needed]
122_(number)
Natural number
difference between an integer and the total of coprimes below it, so it is a noncototient. And it is not the sum of proper divisors of any number, making it an
146_(number)
Natural number
squares of the divisors of 17 is 290. Not only is it a nontotient and a noncototient, it is also an untouchable number. 290 is the 16th member of the Mian–Chowla
290_(number)
Natural number
natural number following 85 and preceding 87. 86 is: nontotient and a noncototient; the 25th distinct semiprime and the 13th of the form (2q); together
86_(number)
Natural number
since there is no integer with exactly 134 coprimes below it. It is a noncototient since there is no integer with 134 integers with common factors below
134_(number)
Number that cannot be written as an aliquot sum
their natural density is at least d > 0.06. Aliquot sequence Nontotient Noncototient Weird number Sesiano, J. (1991), "Two problems of number theory in Islamic
Untouchable_number
Number used for counting
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Natural_number
Natural number
sixteen) is the natural number following 115 and preceding 117. 116 is a noncototient, meaning that there is no solution to the equation m − φ(m) = n, where
116_(number)
Natural number
There is no integer with exactly 154 coprimes below it, making 154 a noncototient, nor is there, in base 10, any integer that added up to its own digits
154_(number)
Iterative algorithm on numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Kaprekar's_routine
Natural number
it a nontotient. Nor is it ever a solution to x - φ(x), making it a noncototient. 170 is a repdigit in base 4 (2222) and base 16 (AA), as well as in bases
170_(number)
Number of integers coprime to and less than n
Jk(n) Carmichael function (reduced totient function) λ(n) Nontotient Noncototient Highly totient number Highly cototient number Sparsely totient number
Euler's_totient_function
Number equal to the sum of its proper divisors
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Perfect_number
Recursive integer sequence
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Catalan_number
Class of binary number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Evil_number
Mathematical concept
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Lucky_numbers_of_Euler
Integer having a non-trivial divisor
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Composite_number
Integer filtered out using a sieve similar to that of Eratosthenes
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Lucky_number
Mathematical sequences in combinatorics
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Stirling_number
Number divisible only by 1 and itself
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Prime_number
Natural number
refactorable number, a Motzkin sum, an idoneal number, a Riordan number and a noncototient. 232 is a telephone number: in a system of seven telephone users, there
232_(number)
Two raised to an integer power
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Power_of_two
Number that remains the same when its digits are reversed
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Palindromic_number
Product of an integer with itself
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Square_number
Number, product of consecutive integers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Pronic_number
Ten raised to an integer power
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Power_of_10
Figurate number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Triangular_number
Numbers with a certain property involving recursive summation
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Happy_number
Type of Poulet number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Super-Poulet_number
Infinite integer series where the next number is the sum of the two preceding it
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Lucas_number
Number of unique ways to draw non-intersecting chords in a circle
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Motzkin_number
Class of natural numbers with many divisors
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Superior highly composite number
Superior_highly_composite_number
Arithmetic operation
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Exponentiation
Type of number introduced by Mike Keith
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Keith_number
Numbers obtained by adding the two previous ones
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Fibonacci_sequence
Arithmetical function
Jk(n) Carmichael function (reduced totient function) λ(n) Nontotient Noncototient Highly totient number Highly cototient number Sparsely totient number
Jordan's_totient_function
Natural number
Mertens function (218) = 3, a record high. 218 is nontotient and also noncototient. 218 is the number of inequivalent ways to color the 12 edges of a cube
218_(number)
Giuga numbers? Do any Lychrel numbers exist in base 10? Do any odd noncototients exist? Do any odd weird numbers exist? Do any (2, 5)-perfect numbers
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Positive integer of the form (2^(2^n))+1
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Fermat_number
Numbers k where x - phi(x) = k has many solutions
Jk(n) Carmichael function (reduced totient function) λ(n) Nontotient Noncototient Highly totient number Highly cototient number Sparsely totient number
Highly_cototient_number
Type of number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Primary_pseudoperfect_number
Prime number of the form 2^n – 1
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Mersenne_prime
Triangular array of natural numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Narayana_number
Count of the possible partitions of a set
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Bell_number
Numbers with special prime factorization
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Achilles_number
Numbers whose sum of divisors is twice the number plus 1
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Quasiperfect_number
Repeated sum of a number's digits
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Digital_root
Numbers with many divisors
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Highly_composite_number
Mathematical concept
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Cullen_number
Number that is the result of operation on its own digits
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Friedman_number
Result of multiplying four instances of a number together
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Fourth_power
Product of two prime numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Semiprime
Type of positive integer
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Amenable_number
Natural number
number following 205 and preceding 207. 206 is both a nontotient and a noncototient. 206 is an untouchable number. It is the lowest positive integer (when
206_(number)
Integers occurring in the coefficients of the Taylor series of 1/cosh t
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Euler_numbers
Combinatorial sequence of numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Dedekind_number
Sum of a number's digits
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Digit_sum
Numbers in a type of Lucas sequence
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Jacobsthal_number
Type of figurate number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Hexagonal_number
Integer having only small prime factors
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Smooth_number
of Fermat's little theorem Fermat quotient Euler's totient function Noncototient Nontotient Euler's theorem Wilson's theorem Primitive root modulo n Multiplicative
List_of_number_theory_topics
Numbers parameterizing ways to partition a set
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Three raised to an integer power
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Power_of_three
Concatenation of the first n prime numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Smarandache–Wellin_number
Odd number with specific properties
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Sierpiński_number
Numeral ambigram
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Strobogrammatic_number
Numbers that contain only the digit 1
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Repunit
Type of composite number with an even number of digits
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Vampire_number
Integer divisible by sum of its digits
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Harshad_number
Abundant number whose proper divisors are all deficient numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Primitive_abundant_number
Pair of integers related by their divisors
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Amicable_numbers
Integer that is both a perfect square and a triangular number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Square_triangular_number
Sequence of integers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Padovan_sequence
Size of a geometric arrangement of points
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Figurate_number
Number of paths between grid corners, allowing diagonal steps
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Delannoy_number
Polyhedral number representing a tetrahedron
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Tetrahedral_number
Numbers that evenly divide powers of 60
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Regular_number
Natural number with a decimal representation made of repeated instances of the same digit
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Repdigit
Sequence of rational numbers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Göbel's_sequence
Result of multiplying five instances of a number together
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Fifth_power_(algebra)
Square of a triangular number
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Squared_triangular_number
Integer where the average of its positive divisors is also an integer
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Arithmetic_number
Numbers whose prime factors all divide the number more than once
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Powerful_number
Base-dependent property of integers
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Kaprekar_number
Number that represents a hexagon with a dot in the center
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Centered_hexagonal_number
Number, non-palindrome after repeated sum with reverse
prime Semiprime Euler's totient function Highly cototient Highly totient Noncototient Nontotient Perfect totient Sparsely totient Aliquot sequences Amicable
Lychrel_number
NONCOTOTIENT
NONCOTOTIENT
NONCOTOTIENT
NONCOTOTIENT
Female
Swedish
Swedish form of Old Norse Auðr, AUDA means "deeply rich."
Boy/Male
Hindu
Thunder
Boy/Male
American, Australian, British, English
Apprentice; Learner; Scholar
Boy/Male
Hindu
Some, One, Another
Boy/Male
Hindu, Indian
Lord Vishnu
Girl/Female
Irish
muirgheal “bright as the sea.†The Irish form of the name Muriel.
Male
English
Short form of English Ernest, ERN means "battle (to the death), serious business."
Girl/Female
Australian, British, English
Nice Pretty and Sweet
Surname or Lastname
English
English : from the Middle English personal name Frewine, Old English Frēowine, composed of the elements frēo ‘free’, ‘noble’, ‘generous’ (or the rarer frēa ‘lord’, ‘master’) + wine ‘friend’.
Male
English
Variant spelling of English Matthias, MATHIAS means "gift of God."
NONCOTOTIENT
NONCOTOTIENT
NONCOTOTIENT
NONCOTOTIENT
NONCOTOTIENT