 Verified instances of GC to date are not just small, they are minute. And minuteness, though admittedly rather vaguely defined, is known to make a difference. Consider, for example, the logarithmic estimate of prime density (i.e. the proportion of numbers less than a given n that are prime) which is known to become an underestimate for large enough n. Let n* be the first number for which the logarithmic estimate is too small. If the Riemann Hypothesis is true, then it can be proven that an upper bound for n* (the first Skewes number) is 8 × 10370. Though an impressively large number, it is nonetheless minute according to the above definition. However if the Riemann Hypothesis is false than our best known upper bound for n* (the second Skewes number) is  10↑10↑10↑10↑3.[10]  The necessity of inventing an ‘arrow’ notation here to represent this number tells us that it is not minute. The second part of this result, therefore, although admittedly conditional on a result that is considered unlikely (viz. the falsity of RH), implies that there is a property which holds of all minute numbers but does not hold for all numbers. Minuteness can make a difference.