Is Skewes' number e^e^e^79 an integer?

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Subject:	Number Theory
	» Analytic Number Theory

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Recomm. for undergrads: no

Posted	by:	VladimirReshetnikov
	on:	December 13th, 2011

Conjecture

Skewes' number $e^{e^{e^{79}}}$ is not an integer.

Bibliography

Skewes, S. (1933), "On the difference $\pi(x) − Li(x)$ ", Journal of the London Mathematical Society 8: 277–283

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On April 29th, 2012 warut says:

Assuming Schanuel's conjecture, one can show that e^e^e^79 is transcendental.