Pure mathematicians just love to try unsolved problems - they love a challenge.
I grew up in Cambridge in England, and my love of mathematics dates from those early childhood days.
That particular odyssey is now over. My mind is now at rest.
Just because we can't find a solution it doesn't mean that there isn't one.
I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
Mathematics... is a bit like discovering oil. ... But mathematics has one great advantage over oil, in that no one has yet ... found a way that you can keep using the same oil forever.