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List numbers such that every sum of consecutive positive integers ending in those numbers is composite
The sequence in question in this problem involves numbers such that all sums of consecutive positive integers ending with are ...
7 days ago
Solved
List the two-bit primes
Each year at Christmas, my father-in-law and his partner send me the Puzzle Mania section from the New York Times. This year’s e...
10 days ago
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Inscribe a circle in a triangle with a side of length equal to the circle’s circumference
A circle of radius is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of ...
14 days ago
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Easy Sequences 94: GCD Sums
Given positive integer , write the function gSum(x), that sums all the GCD's of the integer pairs . For example in the Excel scr...
1 month ago
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The Yellowstone Permutation
The Yellowstone Permutation is a sequence of positive integers, defined by the following rules: No term is repeated. Given n t...
1 month ago
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Solve an equation involving primes and fractions
Write a function to find pairs of primes and satisfying the equation where is an integer. The function should take a numbe...
2 months ago
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Compute frequency factors for the normal distribution
In frequency analysis in hydrology, the streamflow corresponding to a specified exceedance probability (or return period ) can...
2 months ago
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Determine flows of given probability using empirical frequency analysis
Write a function that takes as input observations of peak streamflow and exceedance probabilities expressed as percentages an...
2 months ago
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Find patterns in subprime Fibonacci sequences
Lots of Cody problems involve Fibonacci and Collatz sequences. Fibonacci sequences start with two numbers, and later terms are c...
2 months ago
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Is this triangle right-angled (mixed sides)?
Implement function returning if triangle is right angled or not? Input argument is vector row with not ordered triangle sides. ...
2 months ago
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Hermite Polynomials
Problem 1304 deals with Hermite polynomial of the physicist's type. In this problem, Return the n-th Hermite polynomial of the ...
2 months ago
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About jokes (and compression)
An argument can be made about jokes. The shorter they are, the funnier. Further explained here: https://en.wikipedia.org/wiki/Hu...
2 months ago
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Counting Permutations
In the permutations of the numbers 1 to n, count the number of permutations in which exactly m elements are greater than the pre...
2 months ago
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Compute the area of the shoemaker’s knife
A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter with two semicircular “bites” of diameter...
2 months ago
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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...
3 months ago
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Compute the Lagarias Riemann Hypothesis sequence
Write a function that takes an input number and produces a sequence (i.e., all values up to and including the th value) compute...
3 months ago
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Compute a nested cube root
Consider the quantity . Write a function to compute without using loops or recursion.
3 months ago
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Exact Cover
An efficient solution to the exact cover problem can be useful in many situations. In this problem, you are welcome to use Knuth...
3 months ago
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Intersection points of a polynomial
Find the intersection points of a polynomial, given by its vector of coefficients with the X-axis and the Y-axis. Input: a poly...
3 months ago
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Harmonic series counting
The function takes a positive limit as input, And counts how many terms must be summed in the harmonic series: 1/1, 1/2, 1/3, ...
3 months ago
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Easy Sequences 86: The "real" Hyperprimorials
In Easy Sequences 85, we define the hyperprimorial of , as a exponent ladder of primes numbers from the -th prime down to first ...
4 months ago
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Dyck words
A Dyck word can be considered as a string of n X's and n Y's arranged to have at least as many X's in an initial segment of the ...
4 months ago
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Sum the unitary divisors of a number
Cody Problems 1933 and 46898 deal with , the sum of divisors function. This problem deals with , the sum of unitary divisors fun...
4 months ago
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Count the unitary divisors of a number
Cody Problem 56738 asks for a list of the unitary divisors of a number. For this problem, write a function to count the unitary ...
4 months ago
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IQpuzzler Challenge #2: Find all possible solutions on an empty 4-by-5 board with 5 pieces, rotating and flipping pieces allowed
We are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the pictu...
4 months ago
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Digits of Powers of 2
In Project Euler Problem #16, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that. Give...
4 months ago
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List unitary divisors of a number
A unitary divisor of a number divides and satisfies gcd(,) = 1. For example, 9 is a unitary divisor of 18 because gcd(9,2) = ...
4 months ago
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IQpuzzler Challenge #1: Find all possible solutions with 2 pieces already on the board and fixed orientation of all other pieces
IQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (con...
4 months ago
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Acid-Base Chemistry: Which side of the reaction is more favorable?
In an Acid-Base reaction, there is always going to be an acid, a base, a conjugate acid, and a conjugate base. When provided wit...
4 months ago