Some project euler problems and libraries
A Python one-liner involving a list comprehension and the sum function.
A Python one-liner involving a lambda, and the filter and sum functions. Importing and aliasing fibGen from mathLib.
Three solutions to the problem:
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The first is a relatively naive search for a large prime. It can be read as follows: Given a large prime, for each number less than the prime, divide the large number by the chosen number. If the result is prime, print it and stop searching.
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The second is searching downward from the square root of the large number and will print the first factor that it finds that is also prime.
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The third was pulled from the Project Euler site and is the best of the three since it is the most optimized. I don't really want to go into it here, since it is quite intricate.
| File Name | Contents | Comments |
|---|---|---|
| mathLib.py | ||
fibGen |
Takes an integer as an argument and returns all Fibonacci numbers less or equal to than that number. | |
getPrimes |
Return all prime numbers less than or equal to the upperBound parameter using the Sieve of Ere. This is very slow for values over 40k. | |
isPrime |
Returns whether a number is prime or not. | |
isPalindrome |
Returns whether a variable is a palindrome or not using a passed-in equals function. The passed-in palindrome must be array-index-able. | |
factor |
Returns the list of prime factors for the provided number. |
Badge: Problem #'s
Unlucky Squares: 64, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484 (Need 4)
Prime Obsession (50): 101, 103, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457 (Need lots: Solved: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 107 (26))
Fibonacci Fever: 144, 233
Triangle Trophy: 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325
Lucky Numbers (50): 51, 75, 93, 105, 111, 115, 127, 129, 133, 135, 141, 151, 159, 163, 169, 171, 189, 193, 195, 201, 211, 219, 223, 231, 235, 237, 241, 259, 261, 267, 273, 283, 285, 289, 297, 303, 307, 319, 321, 327, 331, 339, 349, 357, 361, 367, 385, 391, 393, 399, 409, 415, 421, 427, 429, 433, 451, 463 (Need lots Solved: 1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 63, 67, 69, 73, 79, 87, 99, 205 (21))
Centurion: 51, 57, 60, 62, 64, 66, 68, 70, 72, 75, 77, 78, 80, 84, 85, 86, 88, 90, 91, 93, 94, 95, 96