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Resuelto
The MATLAB Treasure Hunt – Unlock the Final Chamber by Solving the Ancient Numeric Cipher
You’ve reached the Final Chamber, where a glowing pedestal displays a sequence of numbers. The inscription reads: “Only the su...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Escape the Labyrinth of Logic by Unlocking the Correct Door Sequence
You enter the Labyrinth of Logic, where each door opens only if a secret rule is met. A vector of integers represents door code...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Locate the Hidden Treasure in the Chamber of Coordinates
Inside the Chamber of Coordinates, glowing runes show several coordinate points on a 2D grid. The treasure lies closest to the ...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Cross the River of Ratios by Finding Successive Proportions in the Data Stream
Following the glowing script, you arrive at the River of Ratios — a flowing stream of numbers. A carved message on the rocks re...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Decode the Ancient Script by Removing Strange Symbols from the Message
Emerging from the Maze of Numbers, you find a tablet etched with symbols and letters — an Ancient Script! The message is hidden...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Identify the Hidden Pattern Within the Maze of Numbers
The compass leads you to an underground chamber covered in numbers carved into the walls — a maze of digits that glows in myster...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Fix the Broken Compass by Normalizing Its Angle Readings
Your compass, recovered from the Hidden Cave, spins wildly! The ancient device shows angles that exceed 360° or drop below 0°. T...
alrededor de 18 horas hace
Resuelto
The MATLAB Treasure Hunt – Count Matching Symbols on the Ancient Scroll to Unlock the Next Clue
Inside the Hidden Cave, you discover an ancient scroll filled with strange symbols and markings. A note beside it says: “Count ...
alrededor de 19 horas hace
Resuelto
The MATLAB Treasure Hunt – Extract the Hidden Cave’s Coordinates from a Long List of Numbers
After decoding the first clue, you uncover another piece of parchment — a long list of numbers. At first glance, it looks random...
alrededor de 19 horas hace
Resuelto
The MATLAB Treasure Hunt – Decode the First Clue Hidden in a Jumbled Sequence of Numbers
You discover an ancient parchment inside the college archives. It contains a jumbled sequence of numbers that seems meaningless ...
alrededor de 19 horas hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
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 día hace
Resuelto
Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...
3 días hace
Resuelto
Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...
3 días hace
Resuelto
Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...
3 días hace
Resuelto
Check the integers additive decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...
3 días hace
Resuelto
Check p² = 24k + 1, p > 3, the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...
3 días hace
Resuelto
Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...
4 días hace
Resuelto
Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...
4 días hace
Resuelto
Frequencies of prime gaps
Problem statement Given two positive integers n and , write a function which computes the frequency of the gap between two ...
4 días hace
Resuelto
Find the first occurence of a given gap between two consecutive prime numbers
Problem statement Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. E...
4 días hace
Resuelto
find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..
5 días hace
Resuelto
Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...
5 días hace
