Cho hai số nguyên dương start và end. Nhiệm vụ là viết chương trình Python để in tất cả các số Nguyên tố trong một Khoảng
Sự định nghĩa. Số nguyên tố là số tự nhiên lớn hơn 1 không có ước dương nào khác 1 và chính nó. Một vài số nguyên tố đầu tiên là {2, 3, 5, 7, 11, …. }
Ý tưởng để giải quyết vấn đề này là lặp lại val từ đầu đến cuối bằng cách sử dụng vòng lặp for và với mọi số, nếu nó lớn hơn 1, hãy kiểm tra xem nó có chia hết cho n không. Nếu chúng tôi tìm thấy bất kỳ số nào khác chia, hãy in giá trị đó
Dưới đây là triển khai Python.
Python3
# Python program to print all
# prime number in an interval
def
prime[x, y]:
prime_list
=
[]
The prime numbers in this range are: [2,3,5]1
The prime numbers in this range are: [2,3,5]2
The prime numbers in this range are: [2,3,5]3
The prime numbers in this range are: [2,3,5]4
The prime numbers in this range are: [2,3,5]5
The prime numbers in this range are: [2,3,5]6_______0_______7
The prime numbers in this range are: [2,3,5]2
=
___=
# Python program to print all
1 # Python program to print all
2 The prime numbers in this range are: [2,3,5]2
=
=
# Python program to print all
6# Python program to print all
7# Python program to print all
8# Python program to print all
9
The prime numbers in this range are: [2,3,5]6_______67_______1
# Python program to print all
7# Python program to print all
8
The prime numbers in this range are: [2,3,5]1
# prime number in an interval
5The prime numbers in this range are: [2,3,5]3
The prime numbers in this range are: [2,3,5]4
# prime number in an interval
8# prime number in an interval
9def
0def
1def
2def
3# prime number in an interval
9def
5def
6# Python program to print all
6def
8def
9
The prime numbers in this range are: [2,3,5]7
The prime numbers in this range are: [2,3,5]2
prime[x, y]:
2 # prime number in an interval
5=
72_______ # Python program to print all
1# Python program to print all
7prime[x, y]:
8prime[x, y]:
9
# Python program to print all
8# prime number in an interval
1# Python program to print all
7
def
9
4
6 prime_list
8
9_______72_______ # prime number in an interval
9
prime_list
2______72_______ prime_list
4
prime_list
5=
prime_list
7
The prime numbers in this range are: [2,3,5]7
prime_list
9=
0_______72_______=
# Python program to print all
1# Python program to print all
7
=
6_______67_______8=
8def
5
# prime number in an interval
1_______66_______7
=
6# prime number in an interval
8[]
5[]
6
đầu ra.
The prime numbers in this range are: [2,3,5]
Thời gian phức tạp. O[N2], trong đó N là kích thước của phạm vi
Không gian phụ trợ. O[N], vì N dung lượng thừa đã được sử dụng
Cách tiếp cận 2. Sàng Eratosthenes
Python3
def
[]
8
The prime numbers in this range are: [2,3,5]00
The prime numbers in this range are: [2,3,5]02
=
The prime numbers in this range are: [2,3,5]04_______0_______1
The prime numbers in this range are: [2,3,5]2
The prime numbers in this range are: [2,3,5]3
The prime numbers in this range are: [2,3,5]4
The prime numbers in this range are: [2,3,5]09
def
6# Python program to print all
6The prime numbers in this range are: [2,3,5]12
The prime numbers in this range are: [2,3,5]15
The prime numbers in this range are: [2,3,5]2
=
# Python program to print all
1
The prime numbers in this range are: [2,3,5]22
The prime numbers in this range are: [2,3,5]24
The prime numbers in this range are: [2,3,5]25
prime_list
9The prime numbers in this range are: [2,3,5]27
The prime numbers in this range are: [2,3,5]6
The prime numbers in this range are: [2,3,5]29
The prime numbers in this range are: [2,3,5]6
The prime numbers in this range are: [2,3,5]31
The prime numbers in this range are: [2,3,5]6_______0_______7
The prime numbers in this range are: [2,3,5]34_______0_______35
The prime numbers in this range are: [2,3,5]36
The prime numbers in this range are: [2,3,5]37
# Python program to print all
7# Python program to print all
8
The prime numbers in this range are: [2,3,5]1
# prime number in an interval
5_______0_______3 The prime numbers in this range are: [2,3,5]4
def
2def
6The prime numbers in this range are: [2,3,5]46_______71_______9
The prime numbers in this range are: [2,3,5]48
def
9
The prime numbers in this range are: [2,3,5]50
=
The prime numbers in this range are: [2,3,5]37
The prime numbers in this range are: [2,3,5]6_______0_______2
def
6=
# Python program to print all
6
The prime numbers in this range are: [2,3,5]60
6
The prime numbers in this range are: [2,3,5]63
The prime numbers in this range are: [2,3,5]1
The prime numbers in this range are: [2,3,5]65
The prime numbers in this range are: [2,3,5]3
The prime numbers in this range are: [2,3,5]02
The prime numbers in this range are: [2,3,5]7
The prime numbers in this range are: [2,3,5]65
The prime numbers in this range are: [2,3,5]35
The prime numbers in this range are: [2,3,5]36
The prime numbers in this range are: [2,3,5]37
The prime numbers in this range are: [2,3,5]73
8
9_______72_______ # prime number in an interval
9
prime_list
2______72_______ prime_list
4
prime_list
5=
The prime numbers in this range are: [2,3,5]83
The prime numbers in this range are: [2,3,5]7
prime_list
9=
0_______72_______=
# Python program to print all
1# Python program to print all
7
=
6_______67_______8=
8def
5
# prime number in an interval
1_______66_______7
=
6# prime number in an interval
8[]
5[]
6
đầu ra.
The prime numbers in this range are: [2,3,5]
Thời gian phức tạp. O[nlogn]
Không gian phụ trợ. Trên]
Giải pháp trên có thể được tối ưu hóa bằng Sàng của Eratosthenes. Vui lòng xem in các số nguyên tố trong một dãy để biết chi tiết.