Is it known if for every positive integer $k$ there is a positive integer $n$ such that all the numbers $2n,2n+2,\ldots,2n+2k$ are sum of two primes?
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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