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In number theory, Skewes's number is any of several large numbers used by the South African mathematician Stanley Skewes as upper bounds for the smallest natural number x {\displaystyle x} for which
where π is the prime-counting function and li is the logarithmic integral function. Skewes's number is much larger, but it is now known that there is a crossing near e 727.95133 < 1.397 × 10 316 . {\displaystyle e^{727.95133}<1.397\times 10^{316}.} It is not known whether it is the smallest.
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