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Numbers
Numbers are our way to quantify, label, and organize the world around us in a logical manner. However, the systems used to obtain this goal differ geographically, historically, and by relative utility. All questions pertaining to numbers, including historic labeling systems, bases of numerical systems, constants, and the various ways they're grouped together, should be placed into this category.
46,867 Questions
What conditions will the average be a negative number?
The sum of the set of values must be negative.
You can't get something that was never there and never existed.
Sorry, but both of these have direct and relatively simple proofs. To prove the infinity of primes, let p1, p2, p3, ... pn be the first n primes. Form the product p1 x p2 x p3 ... x pn. Clearly it is divisible by all the prime numbers up to pn. Then add 1 to that sum. The new value cannot be divisible by any of the preceding primes so it must be a new prime number. Because you can do this for any value of n, the number of primes must be infinite. The proof of the irrationality of the square root of 2 is similarly easy and should be available in any high-school math book at the level of Algebra 2 or above.
Is it safe to swap eight numbers of 400 Watt Halogens with 16 100 watt CFLs?
Where in the world are you finding 100 watt CFLs? 32-35 watts is about where those things top out, which is a pretty bright light, the equivalent of about 150 watts incandescent. Or -- perhaps you mean 23 watt CFLs or something, which have about a 100-watt equivalent when compared with incandescents. At least at the beginning of their life they do. So if that's the case then eight 400-watt halogens can be changed out with sixteen 23-watt fluorescents, which will end up at about half the brightness, and have a greenish / bluish tinge to the light over time. You may want to splurge and get 32 watt bulbs, which will look like roughly 150 watts of incandescent light. One of the really cool things about using CF is less heat in the summertime, so the A/C doesn't have to work as hard. what is what Wat is what misspelled.
Who found the biggest prime number?
On Jan. 25, 2013, the largest known prime number was discovered on Great Internet Mersenne Prime Search (GIMPS) volunteer Curtis Cooper's computer. The new prime number, 2 multiplied by itself 57,885,161 times, less one, has 17,425,170 digits.
What are those number belong to the prime number?
All numbers that only have one and itself as factors are prime. So to tell if a number is prime simply find it's factors. If it has more than two factors than it is not a prime number.
Are there even numbers other than 2 that are composites?
Actually all the even numbers except 2 are composite. This is so because every even number except 2 is divisible by 2 and this means the number is composite.
