Primality proof for n = 9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576599:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=127341149315694473480617920915957430442427972486810722042617.html>127341149315694473480617920915957430442427972486810722042617 is prime.</a>
<br>b^((n-1)/127341149315694473480617920915957430442427972486810722042617)-1 mod n = 6544105391251759222601445067249085379190184611411963524856905296968925743297118544795134973951450493174271768659654, which is a unit, inverse 4030202406867033975267989758117248385978694365715997075690425742721116043528603521898549932401425699758873428709078.
<p>(127341149315694473480617920915957430442427972486810722042617) divides n-1.
<p>(127341149315694473480617920915957430442427972486810722042617)^2 > n.
<p>n is prime by Pocklington's theorem.