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Alex Landherr's Projects

007_ascii icon 007_ascii

Program that prints out the 007 James Bond logo in a terminal.

amicable_sum icon amicable_sum

Evaluate the sum of all the amicable numbers under 10000.

bin_dec_palindrome icon bin_dec_palindrome

Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.

concat_prod icon concat_prod

What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1, 2,...,n) where n > 1?

denom_val icon denom_val

Find the denominator of the product of the four non-trivial fractions when said product is expressed in its lowest common terms.

diagonal_spiral_sum icon diagonal_spiral_sum

What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?

digit_sum icon digit_sum

2^15 = 32768 and the sum of the digits is 3+2+7+6+8 = 26. What is the sum of the digits of the number 2^1000?

dist_terms icon dist_terms

How many distinct terms are in the sequence generated by a^b for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?

div_range icon div_range

What is the smallest number that can be divided by each of the numbers from 1 through 20 without a remainder?

factorial_sum icon factorial_sum

Find the sum of all numbers which are equal to the sum of the factorial of their digits.

fibonacci_sum icon fibonacci_sum

What is the sum of all even Fibonacci numbers less than 4,000,000?

file_gen icon file_gen

Simple tool to generate test file of given size in bytes.

first_sum icon first_sum

Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.

greatest_product icon greatest_product

Find the thirteen (13) adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?

grid_product icon grid_product

What is the greatest product of four adjacent numbers in the same direction (up, down, left, right or diagonally) in the 20x20 grid?

grid_routes icon grid_routes

Starting in the top left corner of a 2x2 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner. How many such routes are there through a 20x20 grid?

js-to-do-website icon js-to-do-website

Simple little JavaScript & HTML/CSS website letting you create, complete, remove and restore to-do items.

longest_chain icon longest_chain

Which starting number, under one million, produces the longest chain?

name_scores icon name_scores

What is the total of all the name scores in the file?

non_abundant_sum icon non_abundant_sum

Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers.

nth_permutation icon nth_permutation

What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?

palindrome_num icon palindrome_num

Find the largest palindrome number that is a product of two three-digit numbers.

pandigital_prod_sum icon pandigital_prod_sum

Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.

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