Mathematicians Stand On Each Other's Shoulders.

We Must Admit With Humility That, While Number Is Purely A Product Of Our Minds, Space Has A Reality Outside Our Minds, So That We Cannot Completely Prescribe Its Properties A Priori.

Finally, Two Days Ago, I Succeeded - Not On Account Of My Hard Efforts, But By The Grace Of The Lord. Like A Sudden Flash Of Lightning, The Riddle Was Solved. I Am Unable To Say What Was The Conducting Thread That Connected What I Previously Knew With What Made My Success Possible.

The Problem Of Distinguishing Prime Numbers From Composite Numbers And Of Resolving The Latter Into Their Prime Factors Is Known To Be One Of The Most Important And Useful In Arithmetic. It Has Engaged The Industry And Wisdom Of Ancient And Modern Geometers To Such An Extent That It Would Be Superfluous To Discuss The Problem At Length. ... Further, The Dignity Of The Science Itself Seems To Require That Every Possible Means Be Explored For The Solution Of A Problem So Elegant And So Celebrated.

I Confess That Fermat's Theorem As An Isolated Proposition Has Very Little Interest For Me, Because I Could Easily Lay Down A Multitude Of Such Propositions, Which One Could Neither Prove Nor Dispose Of.

Ask Her To Wait A Moment - I Am Almost Done.