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The Case of the Missing Prototype - Count the Fingerprints Found at the Lab Door to Begin Your Investigation
You arrive at the Innovation Lab where the secret prototype was stolen. The door has been dusted for fingerprints, and a technic...

1 month ago

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Ripping numbers apart!
So you have to "rip" a number apart into individual digits... The end output is a cell. That is if: x = 12345678 o...

1 month ago

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Make a simplified barcode
Given an integer to encode, make a barcode using the following encoding scheme: * The bar code is made from the binary versio...

1 month ago

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Math with Roman Numerals
Given a function R within (+,-,*,/) and two Roman numerals a & b, compute aRb in Roman numerals.

1 month ago

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Split bread like the Pharaohs - Egyptian fractions and greedy algorithm
How would you split 5 loaves of bread among 8 people in all fairness? Get a hint from the Pharaohs. 5/8 = 4/8 + 1/8 , i.e. each ...

1 month ago

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Convert Roman to Arabic Numerals
Based upon what I see on tv and at the movies, the use of Roman numerals indicates something is important or sophisticated (e.g....

1 month ago

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Whole Number Un-Concatenator
Write a function that accepts an integer and an index digit and returns a vector containing two integers which are the leading a...

1 month ago

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Better Index Number
Let's say you want to save many, many files and append these files with a certain sortable index number. As you probably know, y...

1 month ago

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Whole Number Concatenator
Write a function that concatenates whole numbers. For example: numcat(111,222) should return 111222 numcat(1,2,3,4,5) s...

1 month ago

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The number of trailing zero digit of a factorial
For given positive integer n, take factorial of that number. How many trailing zeros does it have? Example: factorial(11) = 3...

1 month ago

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The last non-zero digit of a factorial
For given positive integer n, what is the last non-zero digit of n!? Example: factorial(11) = 39916800 Last non-zero d...

1 month ago

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Permutation Via Multiplication
Given two numbers a and b, determine if the product ab is a permutation of the digits of a. For example, this is always true for...

1 month ago

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Expand 10^n to Powers of 4
Given an integer n, return the coefficients c = [c_n,c_n-1,...,c_0] Such that 10^n = c_n*4^(n) + c_n-1*4^(n-1...

1 month ago

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Convert from Base 10 to base 5
Convert the input number from base 10 into base 5: for example: if a(in base 10)= 5 then a(in base 5)= 10

1 month ago

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Still more miles to go before I sleep
It's time for more odometer fun. Last problem, my car's odometer hit 56789. It's coming up on 111111 now, which (barring a maj...

1 month ago

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Smallest n, for n! to have m trailing zero digits
For given positive integer n, its factorial often has many trailing zeros, in other words many factors of 10s. In order for n! t...

1 month ago

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Pattern Sum
Write a function which receives two single digit positive integers, (k and m) as parameters and calculates the total sum as: k...

1 month ago

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Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...

1 month ago

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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...

1 month ago

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Check Legendre's conjecture
Context and problem statement Legendre's conjecture states for a given positive integer n, there always exists at least one pri...

1 month ago

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List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...

1 month ago

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Check Bertrand-Chebyshev's theorem about prime numbers
Historical context Bertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory ...

1 month ago

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Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...

1 month ago

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Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...

1 month ago

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Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...

1 month ago

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List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...

1 month ago

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List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...

1 month ago

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Sieve of Eratosthenes - 02
"Sift the Two's and Sift the Three's, The Sieve of Eratosthenes. When the multiples sublime, The numbers that remain a...

1 month ago

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Create a figure and plot data
Given two data vectors (x,y), open a new figure and plot the data. Return the figure handle.

1 month ago

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The Five Infection (Boss Level)
Given a 3x3 matrix A, replace: every value that is equal to five every value that is directly adjacent to a five with zero in...

1 month ago