Question Number 77523 by MJS last updated on 07/Jan/20
![how many silly questions can a person ask within the first δ days of the year ψ when the number χ_0 of his IDs∉R in the year ψ−1 is given by [ln ((ψ/2)+3M)]≤χ_0 <lim_(q_0 , x→∞) ((q_0 ^x (√(2πx)))/e^q_0 ) where M is the duration of a month measured in ((hr)/(24)) and (ψ−2)^2 +δ^3 is prime?](Q77523.png)
$$\mathrm{how}\:\mathrm{many}\:\mathrm{silly}\:\mathrm{questions}\:\mathrm{can}\:\mathrm{a}\:\mathrm{person}\:\mathrm{ask} \\ $$ $$\mathrm{within}\:\mathrm{the}\:\mathrm{first}\:\delta\:\mathrm{days}\:\mathrm{of}\:\mathrm{the}\:\mathrm{year}\:\psi\:\mathrm{when} \\ $$ $$\mathrm{the}\:\mathrm{number}\:\chi_{\mathrm{0}} \:\mathrm{of}\:\mathrm{his}\:\mathrm{IDs}\notin\mathbb{R}\:\mathrm{in}\:\mathrm{the}\:\mathrm{year}\:\psi−\mathrm{1} \\ $$ $$\mathrm{is}\:\mathrm{given}\:\mathrm{by}\:\left[\mathrm{ln}\:\left(\frac{\psi}{\mathrm{2}}+\mathrm{3}\mathbb{M}\right)\right]\leqslant\chi_{\mathrm{0}} <\underset{{q}_{\mathrm{0}} ,\:{x}\rightarrow\infty} {\mathrm{lim}}\frac{{q}_{\mathrm{0}} ^{{x}} \sqrt{\mathrm{2}\pi{x}}}{\mathrm{e}^{{q}_{\mathrm{0}} } } \\ $$ $$\mathrm{where}\:\mathbb{M}\:\mathrm{is}\:\mathrm{the}\:\mathrm{duration}\:\mathrm{of}\:\mathrm{a}\:\mathrm{month}\:\mathrm{measured} \\ $$ $$\mathrm{in}\:\frac{\mathrm{hr}}{\mathrm{24}}\:\mathrm{and}\:\left(\psi−\mathrm{2}\right)^{\mathrm{2}} +\delta^{\mathrm{3}} \:\mathrm{is}\:\mathrm{prime}? \\ $$