A Quote by Bill Gates

The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers. — © Bill Gates
The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.
If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even though there would be no one around to write or talk about them. Huge prime numbers would continue to be prime, even if no one had proved them prime.
I was reminded of the Sydney Harris cartoon that said 'adding two numbers that have not been added before does not constitute a mathematical breakthrough'.
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.
Why add prime numbers? Prime numbers are made to be multiplied, not added.
3 is a prime, 5 is a prime, and 7 is a prime. Why bother with non-prime numbers when the primes can do everything?
Prime numbers are what is left when you have taken all the patterns away. I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.
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 would hope that maybe math teachers could use 'Prime Baby' as a way of establishing an emotional connection between students and numbers.
Anybody can be specific and obvious. That's always been the easy way. It's not that it's so difficult to be unspecific and less obvious; it's just that there's nothing, absolutely nothing, to be specific and obvious about.
Ever so often in the history of human endeavour, there comes a breakthrough that takes humankind across a frontier into a new era. ... today's announcement is such a breakthrough, a breakthrough that opens the way for massive advancement in the treatment of cancer and hereditary diseases. And that is only the beginning.
It has occasionally been remarked upon that it is as easy to overlook something large and obvious as it is to overlook something small and niggling, and that the large things one overlooks often cause problems.
I always tell people there's nothing greater than a crisis to create a breakthrough. Because that's when we breakthrough usually - most people don't proactively breakthrough - they breakthrough because they have to. And the beauty of crisis is it doesn't feel beautiful, is it melts us down. And when you're melted down you can recast your life in a new way.
Intellectually, perspective [drawing] is a breakthrough, because here, for the first time, the physical space we live in is being depicted as ifit were an abstract, mathematical space. A less obvious innovation due to perspective is that here, for the first time, people are actually drawing pictures of infinities.
The prime ideal is a princess of the world of ideals. Her father is the prince 'Point' in the world of geometry. Her mother is the princess 'Prime Numbers' in the world of numbers. She inherits the purity from her parents.
Creating large numbers of decent jobs for young people is critical for achieving overall development objectives, from poverty reduction to better health and education.
The hallway was lined with numbered doors, odd numbers on one side and even numbers on the other, and large ornamental vases, too large to hold flowers and too small to hold spies.
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