https://cp-algorithms.com/algebra/prime-sieve-linear.html in this code for sieve in linear time complexity what is the use of pr[j]<=lp[i]? is there any reason to write this as i tried many test case but it works fine without this ....is there any case where it fails?
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Obviously it will work only number of operations will increase, for the same purpose of reducing runtime we have added that
It's still correct. You just loop more than you need so it is no longer O(n).