atsw
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is it true that for any set S:={1,...,n}
2*p>n , where p is the largest prime in S?
Thanks in advance
2*p>n , where p is the largest prime in S?
Thanks in advance
The discussion revolves around the conjecture regarding the relationship between the largest prime number in a set S, defined as {1, ..., n}, and the inequality 2*p > n, where p is the largest prime in S. Participants explore various mathematical concepts and theorems related to prime numbers and their distribution.
Participants express varying degrees of support for the conjecture, with some suggesting it may hold true under certain conditions while others raise questions about the existence of primes in specific intervals. No consensus is reached regarding the validity of the conjecture.
Some arguments rely on assumptions about the distribution of prime numbers and the existence of primes within certain intervals, which remain unresolved. The discussion highlights the complexity and uncertainty surrounding the conjecture.
atsw said:is it true that for any set S:={1,...,n}
2*p>n , where p is the largest prime in S?
Thanks in advance![]()