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## Tlön Uqbar Orbis Tertius $(function() {$(".top-badge").addSpinner().load("/users/rank?userId=5224"); });

Si velis summam quotcumque logarithmorum numerorum naturalium $1,2,...$ etc. pone $z-n$ esse ultimum numerorum, existente $n = \frac{1}{2}$ et tres vel quatuor termini hujus seriei $z\log(z)-az - \frac{a}{24z} + \frac{7a}{2880z^3} -$ etc. additi logarithmo circumferentiae circuli cujus radius est unitas, id est, huic 0,39908993 dabunt summam quaesitam, idque eo minore labore quo plures logarithmi sunt summandi. Sic, si ponas $z - \frac{1}{2} = 1000$, vel $z = \frac{2001}{2}$ valor seriei erit 25672055542879 ut antea, qui adjectus logarithmo constanti 25676046442221 pro summa logarithmorum primorum mille numerorum hujus seriei 1,2,3,4,5, etc.

James Stirling, Proposition XXVIII, Exemple II of Methodus differentialis (1730). First formulation of Stirling's formula $n! \sim n^n e^{-n}\sqrt{2\pi n}$.

I'm a French graduate student in stochastic processes.

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