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The largest Prime number less than 1000 is 997.
The largest prime number no less than 1000 is currently 257,885,161-1
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What is the sum of the smallest prime and the largest prime less than 10?
9
What is the largest number less 1000 that is divisible by 8?
1000 ÷ 8 = 125 → largest less than 1000 divisible by 8 is 124 x 8 = 992
How many prime numbers less than 1000 are even?
One of them.
How did Euclid prove there is no largest prime?
The proof that there is no largest prime:Assume that there are a finite number of primes for the sake of contradiction. Then, there should be a number P that equals p1p2p3...pn+1. P is either prime or not prime (composite). If it is prime, we just show that P is larger than the largest prime in the list. If it's not prime, it must be composite. Composite always has at least one factor that is prime, but since P is not divisible by any prime in the list, the unknown prime factor(s) must be something not in the list, this also shows that there is a prime larger than the largest prime in the list. Both cases show that no matter how large a list of prime numbers, there will be always at least one larger prime outside of that list.
Which number less than 1000 has the most different prime factors?
210 has 4, which is the maximum possible. There are other numbers with 4 different prime factors.
