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The video approximates prime density up to x using the reciprocal of the natural logarithm of x, expressed as $1/\ln (x)$. This is presented as the asymptotic law of distribution of prime numbers.

Conditions: x is a positive integer.; The relation is an asymptotic approximation, not an exact equality for finite x.

The video approximates prime density up to x using the reciprocal of the natural logarithm of x, expressed as $1/\ln (x)$. This is presented as the asymptotic law of distribution of prime numbers.

Conditions: x is a positive integer.; The relation is an asymptotic approximation, not an exact equality for finite x.