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List the dopey numbers
If vile numbers have binary representations that end with an even number of zeros (even vile), then numbers with binary represe...

2 días ago

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List the vile numbers
Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbe...

2 días ago

Solved

List the Beatriz numbers
Write a function to find integers less than or equal to an input value that solve the equation . The function gives the sum o...

8 días ago

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Easy Sequences 60: Almost Cube Root
The almost cube root of an integer , is the largest possible integer , such that and . For example , then , since and since th...

18 días ago

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Easy Sequences 1: Find the index of an element
The nth element of a series is defined by: . Obviously, the first element . Given the nth element , find the value of the corre...

29 días ago

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Easy Sequences 58: Curious Prime-Rational Functions
For some prime numbers and where , a rational function , is defined as follows: . Using the output , another rational functi...

30 días ago

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Easy Sequences 56: Counting "Ugly" Numbers
A positive integer is called a regular number, if and only if there exist a non-negative integer , such that . For some reason...

alrededor de 1 mes ago

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A sequence of Ones
You are given number(s) with all digits - 1. Your answer will depend on the count of 1 in the given number, for example - x1...

alrededor de 1 mes ago

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Easy Sequences 46: Semi-prime Leap Year Pairs
A semi-prime is a positive integer that has only and exactly prime factors. Here is a list of the first few semi-primes:. We...

alrededor de 1 mes ago

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Multiply two large hexadecimal numbers together and output the hexadecimal representation of the result. For example: a='abcde...

alrededor de 1 mes ago

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Compute the Sequence of the Day
A sequence starts with 1 and 2, and each subsequent term is the sum of the digits of the product of the previous two terms. As a...

alrededor de 2 meses ago

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Easy Sequences 48: Prime Big Omega of Factorial Sequence
For an integer , the prime big omega function, , is defined as the total number prime factors of . So, if , since , therefore ....

2 meses ago

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Easy Sequences 44: Finding the Smallest Number whose Cube is divisible by a Factorial
Given a integer , our goal is to find the smallest integer , such that divides . For example, for , , because , (since ), and ...

2 meses ago

Solved

Collect a set of candy wrappers
This past Halloween, the siblings Matilda and Labrun amused (and sometimes confused) their many neighbors with their costumes in...

2 meses ago

Solved

Easy Sequences 47: Boxes with Prime Edges
This is related to problem "Easy Sequences 41: Boxes with Integer Edges". However, here we will be investigating a smaller-sized...

3 meses ago

Solved

Easy Sequences 45: Second Derivative of Inverse Polynomial Function
The inverse of a function, is the function , that reverses . That means that if , then . For example, the function to convert ce...

3 meses ago

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Easy Sequences 42: Areas of Non-constructible Polygons
A constructible polygon is a regular polygon that can be constructed using only a compass and a straightedge. Amazingly, Gauss ...

3 meses ago

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Easy Sequences 43: Least Common Fibonacci Number
The Fibonacci sequence is a series whose elements are numbers starting with and , and subsequent Fibonacci numbers are defined...

3 meses ago

Solved

Easy Sequences 38: Prime Number Delta
The Prime Number Theorem states that: where is the prime counting function (number of pri...

3 meses ago

Solved

Quadratic Congruence is a modular equation of the form: . In this exercise you will be given a vector containing the coefficie...

3 meses ago

Solved

Easy Sequences 41: Boxes with Integer Edges
For this problem, we are asked to write a function that will count the number of boxes with integer edges, that has the same giv...

3 meses ago

Solved

Compute the largest number whose prime factors sum to n
This problem deals with a sequence whose tenth term is 36 because the prime factors of 36 (2, 2, 3, 3) sum to 10. The number 32 ...

3 meses ago

Solved

Easy Sequences 39: Perfect Squares in Pascal's Triangle
Consider the 2nd, 3rd and 4th diagonals of the Pascal's Triangle, shown highlighted below: ...

3 meses ago

Solved

Easy Sequences 16: Volume of Embedded Octahedron
An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure). ...

3 meses ago

Solved

Easy Sequences 30: Nearly Pythagorean Triangles
A Nearly Pythagorean Triangle (abbreviated as "NPT'), is an integer-sided triangle whose square of the longest side, which we wi...

3 meses ago

Solved

Easy Sequences 27: Product of Radicals of Integers
The radical of a positive integer is defined as the product of the distinct prime numbers dividing . For example, the distinct ...

3 meses ago

Solved

List the cuban primes
The number 61 is a cuban prime because it is prime and the difference two cubes, 64 and 125. Write a function to list the cuba...

3 meses ago

Solved

Easy Sequences 35: Cutting a donut to Semi-prime pieces
The figure below illustrates how a torus (donut shape) can be cut in pieces with only cuts: ...

4 meses ago

Solved

Easy Sequences 37: Natural Factorable Polynomials
A polynomial of the form: , for , is said to be natural factorable if it can be factored into products of first degree binomials...

4 meses ago

Solved

Easy Sequences 36: Hyperbolic Lattice Points
The graph, shown below, of the hyperbola: , passes through four positive lattice points:. ...

4 meses ago