#!/usr/bin/python
#We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once. For example, 2143 is a 4-digit pandigital and is also prime.
#
#What is the largest n-digit pandigital prime that exists?
import myMath
poss = [x for x in range(1,8)]
largest = 0
while len(poss) > 2:
perms = myMath.getAllPermutations(poss)
for perm in perms:
if perm > largest and myMath.isPrime(perm):
largest = perm
poss = poss[:-1]
print largest
import myMath
myMath.initPrimeSieve(10000)
def digits(num):
return [int(dig) for dig in str(num)]
def findArithmeticSequence(numSet):
if len(numSet) >= 3:
numSet = sorted(numSet)
for x in numSet:
numSetCopy = numSet[:]
numSetCopy.remove(x)
for y in numSetCopy:
diff = abs(y-x)
if y + diff in numSetCopy:
return (x,y,y+diff)
return ()
answers = []
for i in xrange(1001,10000):
perms = list(set(myMath.getAllPermutations(digits(i))))
perms = [x for x in perms if myMath.isPrime(x) and x > 1000]
result = findArithmeticSequence(perms)
if result != () and result not in answers:
print result
answers.append(result)
