Sieve Method and Landau Problems
نویسنده
چکیده
At the 1912 Fifth International Congress of Mathematicians (Cambridge), Landau mentioned four unattackable problems: Goldbach Conjecture; Twin Prime Conjecture; for each n, there is a prime p such that n2 < p < (n+1)2; there are infinitely many primes p of the form p = n2+1. As Erdős [6, preface] maintained five years ago, we still do not have a satisfactory solution for each of them. For large N , let A = {m| m ∈ Z,m ≤ N}, P = {p| p ∈ A, p prime}, and
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تاریخ انتشار 1999