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Q: What is the smallest prime number greater than 1000?

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211. There is a list of the first 1000 prime numbers if you look for it in any serach engine.

501

1100 is the smallest multiple of 100 that is greater than 1000. Every multiple of 100 ends in two zeroes.

It's relatively easy to show that there are no numbers less than 1000 that are made of more than 4 different prime factors. The 5 smallest primes are 2, 3, 5, 7 and 11, and 2x3x5x7x11=2310. If the smallest 5 different primes multiplied together gives a product greater than 1000, then any other combination of 5 different primes would yield an even bigger number. So any number less than 1000 that is comprised of different prime numbers must only have 4 prime factors. So the smallest number that's a product of 4 different primes is 210 (=2x3x5x7), but there are several other numbers less than 1000 that are made of 4 different prime factors. A complete list follows: 2x3x5x7 = 210 2x3x5x11 = 330 2x3x7x11 = 462 2x5x7x11 = 770 2x3x5x13 = 390 2x3x11x13 = 858 2x3x5x17 = 510 2x3x7x17 = 714 2x3x5x19 = 570 2x3x7x19 = 798 2x3x5x23 = 690 2x3x7x23 = 966 2x3x5x29 = 870 2x3x5x31 = 930

1000

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503

1002

'997' is the 168th smallest prime number.

There are only 3 numbers to test if they are prime, that isn't very hard. You can also use the list of 1000 smallest primes.

23 x 53 = 1000

3000. It contains non-repeating 3 as a factor.

There is no such thing. A prime number can only be divided by itself and the number one, all even numbers can be divided by 2. 2 is the only even prime number.

2^3 * 5^3 = 1000

The smallest four digit whole number is 1000.

211. There is a list of the first 1000 prime numbers if you look for it in any serach engine.

3315 has four prime factors they are 3, 5, 13, and 17

No. 1000 has 4 digits and is the smallest 4-digit number. The smallest 3-digit number is 100.