feat(main.py):重构主函数调用方式,将 app() 调用封装到 main() 函数中

 feat(euler_37.py):添加截断质数问题的初始实现
 feat(euler_37_primeclass.py):添加基于质数生成器的截断质数完整解决方案
📝 docs(millerrabin_test.pdf):添加 Miller-Rabin 测试的详细文档
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2026-01-07 18:26:00 +08:00
parent 5fd04305ee
commit 09ddf3f65c
4 changed files with 219 additions and 1 deletions

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"""
The number 3797 has an interesting property.
Being prime itself, it is possible to continuously remove digits from left to right,
and remain prime at each stage: 3797, 797, 97, and 7.
Similarly we can work from right to left: 3797, 379, 37, and 3.
Find the sum of the only eleven primes that are both truncatable from left to right and right to left.
NOTE: 2, 3, 5, and 7 are not considered to be truncatable primes.
"""
from itertools import product
def combine_lists(a: list[int], b: list[int|None], c: list[int]) -> list[int]:
"""将三个列表的每个元素组合成数字"""
return [int(f"{x}{y}{z}") for x, y, z in product(a, b, c)]
def is_prime(n: int) -> bool:
"""判断一个数是否为素数"""
if n < 2:
return False
for i in range(2, int(n ** 0.5) + 1):
if n % i == 0:
return False
return True
def TruncatablePrime() -> list[int]:
begin = [2, 3, 5, 7]
end = [3, 7]
middle = [1, 3, 7, 9]
res = []
for length in range(2, 7):
if length - 2 == 0:
midb = []
else:
midb = product(middle, repeat=length - 2)
midb = [int("".join(map(str, x))) for x in midb]
nums = combine_lists(begin, midb, end)
for num in nums :
if is