Easy Sequences 3: Prime 44-number Squares - MATLAB Cody - MATLAB Central

Problem 52497. Easy Sequences 3: Prime 44-number Squares

Difficulty:
(3)
Rate
The positive integers 62 and 238 are related. Their squares (3844 and 56,644) both end in '44'. In fact, 62 and 238 are the 3rd and 10th positive integers, respectively, that have this property. We will call a positive number whose square ends in '44' as a "44-number".
If 'x' is the nth 44-number, we define the function 'S(n)' to be the sum of the digits of 'x^2' but excluding the ending '44'. So in the cases above, S(3) = 11 and S(10) = 17. We noticed that both of these sums are primes.We define 'P(n)' as the number of prime S(n)'s among the first 'n' 44-numbers. Write a function that returns P(n), given that P(3) = 2 and P(10) = 5.
Solve

Solution Stats

70.21% Correct | 29.79% Incorrect
Last Solution submitted on May 01, 2025

Problem Comments

Solution Comments

Show comments

Group

Special Functions II Image
Special Functions II
  • 10 Problems
  • 1 Finishers

Problem Recent Solvers28

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page