In mathematics, the phrase sufficiently large is used in contexts such as:

$f(x)$ is true for sufficiently large $x$

which is actually shorthand for:

there exists an $a\backslash in\backslash mathbb\{R\}$ such that $f(x)$ is true for all $x\backslash ge\; a$.

This does not necessarily mean that any particular value for $a$ is known, but only that such an $a$ exists. The phrase "sufficiently large" should not be confused with the phrases "arbitrarily large" or "infinitely large".

"Sufficiently large" is sometimes the subject of mathematical humor; for example, as in the mathematician's joke "π = 3, for sufficiently large values of 3". Mathematical terminology

Other uses in mathematics

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A Haken manifold is sometimes called sufficiently large. 3-manifolds