What is the the best expression found so far to give you the "Prime Numbers" ?
338970
Prime numbers are numbers that have only two factors – 1 and itself.\n\nThe website below will give you alot of example of prime numbers. It may not be an A-level definition but it's clear and understandable.\n\nI hope that helps you out.
701564
Prime numbers between through 1 to 100 is\n2 3 5 7 11 13 17 19 23 29 \n31 37 41 43 47 53 59 61 67 71 \n73 79 83 89 97....
499816
Factor each number into their prime factors.\nTake the greatest number of occurrences of each\nprime and use them and only them  as the factors of your answer.\n\n  For example 4 and 10. Primes for each are 2,2 and\n2,5. 2 occurs at most two times and 5 occurs at most\nonce. So the factors in your answer are 2,2,5\nand the answer is 20. \n  Concise but complete. Exhaustive but exclusive.\nThat's elegance.
22351
Many have tried, yet none have found a formula. As noted on MathWorld,\n\n"Euler commented "Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the mind will never penetrate" (Havil 2003, p. 163). In a 1975 lecture, D. Zagier commented "There are two facts about the distribution of prime numbers of which I hope to convince you so overwhelmingly that they will be permanently engraved in your hearts. The first is that, despite their simple definition and role as the building blocks of the natural numbers, the prime numbers grow like weeds among the natural numbers, seeming to obey no other law than that of chance, and nobody can predict where the next one will sprout. The second fact is even more astonishing, for it states just the opposite: that the prime numbers exhibit stunning regularity, that there are laws governing their behavior, and that they obey these laws with almost military precision" (Havil 2003, p. 171)."
1090956
25, if you're talking about whole, positive numbers.\n\nThey are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.\n\nMany people debate whether or not 0 and 1 should also be considered prime.  0 is just weird and 1 is part of the definition of prime, so I don't think they really are prime, personally.
387930
it is 2\ncoz it's the only even prime number
677307
Since your question did not specify a specific number, I'll add this:\n\nDr Martin Nowak, who has his own practice in the south German town of Michelfeld, stumbled upon the number last week, breaking the previous record for a prime number by half a million digits. \n\nPrime numbers are divisible only by themselves and 1. While the first prime numbers 2, 3, 5, and 7, are easy to identify, Dr Nowak's monster prime number is more than 7.8m digits long and is written as 2 to the 25,964,951st power minus 1. \n\nThe number belongs to a special class of rare prime numbers known as Mersenne primes, named after a 17th century French monk who first studied them 350 years ago. So far only 42 have been found.
890978
To get prime factors, keep dividing by numbers and divide those until you can't divide them no more!  For example,\n\n34 \n17 * 2\n\n(Can't divide 17 any more and can't divide 2 -- both of these are prime numbers)\n\nAnother example,\n\n120\n12 * 10\n2 * 6 * 2 * 5\n2 * 2 * 3 * 2 * 5 (<-- all prime numbers here)\n\nTry to get the rest yourself and post the answers, we'll tell you if you got them right!  ;-)
813306
Start by dividing by 2 until you can't divide by 2. Then 3, then 5 etc..(prime numbers) until your number has been divided so many times that it equals 1.\n\nThe product is the number you divided into\n\nEg\nExpress 24 as product of primes\n\n24 / 2 =12\n12/2 =6\n6/2 =3\n3/3 =1\n\nThe prime productes are 2, 2, 2, 3\n\nSo you express it as 2^3*3\n\nNow do the same with 252
1137046
There is no highest prime number.  Euclid showed that given any supposed prime number, you can always construct a new prime number higher than it.  Therefore there cannot be a highest prime number.\n\nYou do it this way.  Suppose the highest prime number is supposed to be "m".  Take "m" and all the prime numbers lower than "m", multiply them all together, and add one.  This new number cannot be divided evenly by "m", because it has a remainder of 1.  It cannot be divided by the next lower prime, because that too gives a remainder of 1, and so on.  Thus, the assumption that there was a largest prime number must be incorrect.\n\nExample, say we think the largest prime is 5.  Multiply 5 * 3 * 2 and add one to get 31.  31 is prime.  QED.
787272
There are no even odd numbers.  However, 2 is the only even prime number.  Is that what you meant?
858830
2, 2, 2, 3, 3. The prime factors of a number are the set of prime numbers which, when all multiplied together, make that number.\n\nYou can use this program to find prime factors:\nhttp://www.brennen.net/primes/FactorApplet.html
341155
79 is a prime number.  Its only factors (in the real number system) are 1 and 79.
169090
divide all the numbers(except 1) less than the prime number and see if they come out as a full number\netc. 19 19/2=9R1  **/3=6R1   **/4=4R3  **/5=3R4  **/6=3R1  **/7=2R5  **/8=2R3  **/9=2R1 **/10=1R9  **/11-18=1R8-1
22019
today we don't have practical to find all prime number. you can find a part of them through Mersenne number: 2^p-1 or Fermat number: 2^(2^n) with p is prime number and n is nature number
38659
Euclid has proven that there are an infinite number of prime numbers and did so rather elegantly in what many mathematicians believe is one of the best proofs ever. \n\nYou can see the worked theorem here...\n\nhttp://primes.utm.edu/notes/proofs/infinite/euclids.html\n\n... and of course just in case, here is a more plain english explanation...\n\nhttp://aleph0.clarku.edu/%7Edjoyce/java/elements/bookIX/propIX20.html
161312
"Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate." — Leonhard Euler\n\nWe don't know if there is a pattern, but if it is, it's pretty complicated. The formula x^2 + x + 41 gives primes up to 40, but that's as far as it'll go.\n\nThere is a possible pattern with the distribution of primes, but this has not been proven, and if you manage to prove the Reimann hypothesis, you'll be plenty rich!