constant-k-K-p-P-1-p-1-2-1-3-1-5-1-7-1-11-1-1-k-is-convergence-

Question Number 217679 by SdC355 last updated on 18/Mar/25

$$\mathrm{constant}\:{k}=\underset{{p}\in\mathbb{P}} {\overset{\infty} {\mathrm{K}}}\:\frac{\mathrm{1}}{{p}}=\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{1}}{\mathrm{3}+\frac{\mathrm{1}}{\mathrm{5}+\frac{\mathrm{1}}{\mathrm{7}+\frac{\mathrm{1}}{\mathrm{11}+\frac{\mathrm{1}}{\ddots}}}}}}\: \\ $$$$\frac{\mathrm{1}}{{k}}\:\mathrm{is}\:\mathrm{convergence}?? \\ $$

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