How to Check If a Number Is Prime Using a Finite Definite Integral

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References

[1] Fourier, J.B.J. (1878 [1822]) The Analytical Theory of Heat. Freeman, A., Trans., The University Press, Cambridge, United Kingdom. (Translated from French)

[2] https://en.wikipedia.org/wiki/Fourier_transform

[3] Euclid’s Elements, Book IX, Proposition 35. Aleph0.clarku.edu.

[4] https://en.wikipedia.org/wiki/Geometric_series

[5] des Chênes, P. (1799) Marc-Antoine Mémoire sur les séries et sur l’intégration complète d’une équation aux différences partielles linéaire du second ordre, à coefficients constants. Sciences, mathématiques et physiques (Savants étrangers), 1, 638-648.

[6] http://www.astro.rug.nl/~vdhulst/SignalProcessing/Hoorcolleges/college03.pdf

[7] Hazewinkel, M. (Ed.) (2001) Euler Formulas. Encyclopaedia of Mathematics, Springer.

[8] https://en.wikipedia.org/wiki/Euler%27s_formula

[9] Rivest, R., Shamir, A. and Adleman, L. (1978) A Method for Obtaining Digital Signatures and Public-Key Cryptosystems. Communications of the ACM, 21, 120-126.

https://doi.org/10.1145/359340.359342

[10] Apostol, T.M. (1999) An Elementary View of Euler’s Summation Formula. The American Mathematical Monthly. Mathematical Association of America, 106, 409-418.