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-rw-r--r--041.py26
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+from common import pandigital, sieve
+
+primes = list(sieve(10**6).primes())
+numbers = [x for x in pandigital(1, 9).numbers(10) if x > 10**8]
+numbers += [x for x in pandigital(1, 8).numbers(10) if x > 10**7]
+numbers += [x for x in pandigital(1, 7).numbers(10) if x > 10**6]
+numbers += [x for x in pandigital(1, 6).numbers(10) if x > 10**5]
+numbers += [x for x in pandigital(1, 5).numbers(10) if x > 10**4]
+numbers += [x for x in pandigital(1, 4).numbers(10) if x > 10**3]
+numbers += [x for x in pandigital(1, 3).numbers(10) if x > 10**2]
+numbers += [x for x in pandigital(1, 2).numbers(10) if x > 10**1]
+
+numbers.sort(reverse=True)
+
+# check for divisibility up to sqrt(n), as sieve requires too much memory
+def is_prime(n):
+ for p in primes:
+ if n % p == 0:
+ return False
+ return True
+
+for n in numbers:
+ if is_prime(n):
+ print n
+ break
+