More primality testing (was: Elementary group theory: Proof of Fermat-Maas ...)

An addendum to my earlier followup. You cited several large numbers
you believe to be prime, but which you can't prove prime, and
challeged me to try to prove them prime. I counter-challenge. Below
are several large numbers I've already proven to be prime. Can you
also prove them prime? Some are really easy to prove prime if you
know the trick, while others are much more difficult.

744037861879306124158400228946593301184284063332387513639047222509291613663605412636622352860607874875271132641255257603
234714946026815991948626050856035622043732837500839097736815263807849303807911036232918436969947196580062795917195573523
669640764923224535651958897248435286545553062084759247450774919567528463581596291433106081089302176678891950971127424003
671883125692863167339804472361965206241967764569894794603976515592492612918815571851121595203879358210788180267404655363
438860270969065039700656997266330244997949487144809749340971804973298377251350860288392236805770668196477002145292416003
606165632644174805318122578646759866758573773958444021626920766846018080535930194766052456110275509472836487534989585603
479711386346730131535821054454739187545724895199749444195695838115762460844076105744206887009930913020130807162099491843
788173711374623884538594380435509296473275402209509651263397451350399259459843675069398818541213297876476784633647165443
.