A Quote by Carl Friedrich Gauss

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.
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.
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.
When you start looking at a problem and it seems really simple, you don't really understand the complexity of the problem. Then you get into the problem, and you see that it's really complicated, and you come up with all these convoluted solutions. That's sort of the middle, and that's where most people stop... But the really great person will keep on going and find the key, the underlying principle of the problem - and come up with an elegant, really beautiful solution that works.
There is something which unites magic and applied science (technology) while separating them from the "wisdom" of earlier ages. For the wise men of old, the cardinal problem of human life was how to conform the soul to objective reality, and the solution was wisdom, self-discipline , and virtue. For the modern, the cardinal problem is how to conform reality to the wishes of man, and the solution is a technique.
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?
I see the war problem as an economic problem, a business problem, a cultural problem, an educational problem - everything but a military problem. There's no military solution. There is a business solution - and the sooner we can provide jobs, not with our money, but the United States has to provide the framework.
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.
A favorite means of escaping the solution to any problem is to declare it too complex for solution. This absolves us from attempting solution. ... Any problem is too complex to solve when we do not wish to accept the conditions of solution. Solution is possible where acceptance is ready.
The solution to a problem - a story that you are unable to finish - is the problem. It isn't as if the problem is one thing and the solution something else. The problem, properly understood = the solution. Instead of trying to hide or efface what limits the story, capitalize on that very limitation. State it, rail against it.
To ask the 'right' question is far more important than to receive the answer. The solution of a problem lies in the understanding of the problem; the answer is not outside the problem, it is in the problem.
Design is a response to a specific problem. You are given a problem to solve, and then you let the problem itself tell you what your solution is.
To deal with the true causes of war one must begin by recognizing as of prime relevancy to the solution of the problem the familiar fact that civilization is a partial, incomplete, and, to a great extent, superficial modification of barbarism.
It is well known that "problem avoidance" is an important part of problem solving. Instead of solving the problem you go upstream and alter the system so that the problem does not occur in the first place.
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.
The mystery of life is certainly the most persistent problem ever placed before the thought of man. There is no doubt that from the time humanity began to think it has occupied itself with the problem of its origin and its future which undoubtedly is the problem of life. The inability of science to solve it is absolute. This would be truly frightening were it not for faith.
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