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Question-186441




Question Number 186441 by Rupesh123 last updated on 04/Feb/23
Commented by Frix last updated on 04/Feb/23
t=10084  3(t^2 −4)=17466^2 =305061156
$${t}=\mathrm{10084} \\ $$$$\mathrm{3}\left({t}^{\mathrm{2}} −\mathrm{4}\right)=\mathrm{17466}^{\mathrm{2}} =\mathrm{305061156} \\ $$
Answered by a.lgnaoui last updated on 04/Feb/23
the probleme as Iunderstand  is to fond t witch verified  10^8 ≤3(t^2  −4)<10^9           (√(((10^8 )/3)+4))≤t<(√(((10^9 )/3)+4))   with t and n∈N     t=3n+4  t perfect squart  p^2 =3n+4
$${the}\:{probleme}\:{as}\:{Iunderstand} \\ $$$${is}\:{to}\:{fond}\:\boldsymbol{{t}}\:{witch}\:{verified} \\ $$$$\mathrm{10}^{\mathrm{8}} \leqslant\mathrm{3}\left({t}^{\mathrm{2}} \:−\mathrm{4}\right)<\mathrm{10}^{\mathrm{9}} \\ $$$$\:\:\:\:\:\:\:\:\sqrt{\frac{\mathrm{10}^{\mathrm{8}} }{\mathrm{3}}+\mathrm{4}}\leqslant{t}<\sqrt{\frac{\mathrm{10}^{\mathrm{9}} }{\mathrm{3}}+\mathrm{4}}\: \\ $$$${with}\:\boldsymbol{{t}}\:{and}\:\boldsymbol{{n}}\in\mathbb{N}\:\:\: \\ $$$${t}=\mathrm{3}{n}+\mathrm{4}\:\:{t}\:{perfect}\:{squart} \\ $$$${p}^{\mathrm{2}} =\mathrm{3}{n}+\mathrm{4} \\ $$$$ \\ $$

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