Well, honey, the smallest number with prime factors 3, 5, 7, and 11 is simply the product of these primes: 3 * 5 * 7 * 11 = 1155. So, there you have it, darling, 1155 is the smallest number you're looking for.
It is 11 which is a prime number whose factors are itself and one
30
44
prime number
7x11x13=1001
The smallest positive integer is 3.
2310
36
It is 11 which is a prime number whose factors are itself and one
2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216
The smallest two-digit prime number whose digits themselves are prime is 23. Both 2 and 3 are prime numbers, and together they form the prime number 23.
There are infinitely many prime numbers, and also infinitely many twin primes so there is no answer to the question.
The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.
That number is 724.
17
72
23