Solves Problem 27.

Simple problem of abs values of primes. . .
Working on problem 36

Signed-off-by: Julien Lengrand-Lambert <julien@lengrand.fr>

README.markdown

@@ -38,9 +38,14 @@ Should be used in order to help future reuse of code :)
 23 - Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers.
 24 - What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
 25 - What is the first term in the Fibonacci sequence to contain 1000 digits?
+27 - Find a quadratic formula that produces the maximum number of primes for consecutive values of n.
 48 - Find the last ten digits of 1^1 + 2^2 + ... + 1000^1000.
 67 - Using an efficient algorithm find the maximal sum in the triangle?
 
+**In progress: **
+
+26 - Find the value of d < 1000 for which 1/d contains the longest recurring cycle.
+36 - Find the sum of all numbers less than one million, which are palindromic in base 10 and base 2.
 
 **WARNING : Spoil inside for those who want to solve problems by themselves :)**
 

e_27.py

@@ -45,37 +45,32 @@ def prime_series(a_range, b_range):
     """
     Returns the product of a and b for the quad_fun that produces the max number of primes; 
     a_range, b_range being the ranges for a and b
-    """
-    prints = len(a_range) * len(b_range)
-    a_print = 0
-    b_print = 0
-    
+    """    
     max = 0
     max_prod = 0
+    
+    a_curr = 0
     for a in a_range:
-        a_print += 1
+        a_curr += 1
+        print "%d/%d" %(a_curr, len(a_range))
         for b in b_range:
-            b_print += 1
-        
-            # status message 
-            curr_print = (a_print - 1) * len(b_range)   + b_print % (len(b_range) )
-            print "%d/%d" % (curr_print, prints)
             
             n = 0
             value = quad_fun(a, b, n)
-            while is_prime(value):
+            while is_prime(abs(value)):
                 n += 1
                 value = quad_fun(a, b, n)
 
             # checking if current serie if the best we got : 
             if n > max:
                 max = n
-                max_prod = abs(a) * abs(b)
+                max_prod = a * b
                 
     return max_prod
     
 if __name__ == '__main__' :
-    a_range = range(-1000, 1001)
-    b_range = range(-1000, 1001)
+    a_range = range(-999, 1000)
+    b_range = range(-999, 1000)
+    
     print "Answer is : %d"  % (prime_series(a_range, b_range))
     raw_input()

e_36.py

@@ -0,0 +1,18 @@
+#!/usr/bin/env python
+"""
+ ##---
+ # Julien Lengrand-Lambert
+ #Created on : Thu Jan 19 10:12:06 CET 2012
+ #
+ # DESCRIPTION : Solves problem 36 of Project Euler
+ The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.
+ Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.
+
+ (Please note that the palindromic number, in either base, may not include leading zeros.)
+ ##---
+ """
+    
+if __name__ == '__main__' :
+    
+    print "Answer is : %d"  % (1)
+    raw_input()