This article lists some real examples that require more than 512 bits: https://res.mdpi.com/d_attachment/mathematics/mathematics-03-00337/article_deploy/mathema

This article lists some real examples that require more than 512 bits: https://res.mdpi.com/d_attachment/mathematics/mathematics-03-00337/article_deploy/mathematics-03-00337.pdf https://res.mdpi.com/d_attachment/mathematics/mathematics-03... Note that digits of precision are expressed in decimal unless explicitly given as “bits”, so that the phrase “10,000-digit arithmetic” really means around 33,000 bits.