Generate all prime numbers between two given numbers. The task is to print prime numbers in that range. The Sieve of Eratosthenes is one of the most efficient ways to find all primes smaller than n where n is smaller than 10 million or so.
Input : start = 50 end = 100 Output : 53 59 61 67 71 73 79 83 89 97 Input : start = 900 end = 1000 Output : 907 911 919 929 937 941 947 953 967 971 977 983 991 997
Idea is to use Sieve of Eratosthenes as a subroutine. We have discussed one implementation in Prime numbers in a given range using STL | Set 1
- Find primes in the range from 0 to end and store it in a vector
- Find the index of element less than start value using binary search. We use lower_bound() in STL.
- Erase elements from the beginning of the vector to that index. We use vector erase()
Viola! The vector contains primes ranging from start to end.
53 59 61 67 71 73 79 83 89 97
- Sum of all the prime numbers in a given range
- Sum of all prime divisors of all the numbers in range L-R
- Print prime numbers in a given range using C++ STL
- K-Primes (Numbers with k prime factors) in a range
- Count numbers from range whose prime factors are only 2 and 3
- Numbers in range [L, R] such that the count of their divisors is both even and prime
- Find the highest occurring digit in prime numbers in a range
- Count Numbers in Range with difference between Sum of digits at even and odd positions as Prime
- Count numbers in a range having GCD of powers of prime factors equal to 1
- Queries for the difference between the count of composite and prime numbers in a given range
- Absolute difference between the Product of Non-Prime numbers and Prime numbers of an Array
- Absolute Difference between the Sum of Non-Prime numbers and Prime numbers of an Array
- Print the nearest prime number formed by adding prime numbers to N
- Print prime numbers with prime sum of digits in an array
- Check if a prime number can be expressed as sum of two Prime Numbers
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