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Diffstat (limited to 'challenge-147/paulo-custodio/python/ch-1.py')
| -rw-r--r-- | challenge-147/paulo-custodio/python/ch-1.py | 36 |
1 files changed, 36 insertions, 0 deletions
diff --git a/challenge-147/paulo-custodio/python/ch-1.py b/challenge-147/paulo-custodio/python/ch-1.py new file mode 100644 index 0000000000..f3982a0174 --- /dev/null +++ b/challenge-147/paulo-custodio/python/ch-1.py @@ -0,0 +1,36 @@ +#!/usr/bin/env python3 + +# Challenge 147 +# +# TASK #1 > Truncatable Prime +# Submitted by: Mohammad S Anwar +# Write a script to generate first 20 left-truncatable prime numbers in base 10. +# +# In number theory, a left-truncatable prime is a prime number which, in a given +# base, contains no 0, and if the leading left digit is successively removed, +# then all resulting numbers are primes. +# +# Example +# 9137 is one such left-truncatable prime since 9137, 137, 37 and 7 are all +# prime numbers. + +from sympy import isprime, nextprime + +def left_truncatable_prime_it(): + prime = None + while True: + prime = nextprime(prime) if prime is not None else 2 + if is_left_truncatable_prime(prime): + yield prime + +def is_left_truncatable_prime(p): + while True: + if not isprime(p): + return False + p = int(str(p)[1:]) if len(str(p)) > 1 else '' + if p == '': + return True + +it = left_truncatable_prime_it() +out = [next(it) for _ in range(20)] +print(", ".join(map(str, out))) |
