Oh, dude, you want me to do math now? Fine, fine. So, the two-digit primes that are greater than 12 but less than 99 and still prime when you swap their digits are 13, 17, 31, 37, 71, 73, 79, and 97. Add them up and you get 398. Math is fun, right?
39
9218 9425
12
What is the units digit of the least whole number greater than 1000 whose digits are all different?
4.23 is greater than 4.13 Notice how the digit that is a 2 is greater than the digit that is a 1, and the other digits are identical.
472.
Any two digit number in which: (a) the units digit is not 0, and (b) the two digits are different will form a new 2-digit number when the digits are interchanged.
The largest three digit prime number whose digits are all primes is 773.
The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.
39
Three of them.
How about: 773
Not necessarily. Consider 444. The digits are not different. The first and second digits are not multiples of 3 The first digit is not greater than the second digit. In spite of all that, 444 is a 3-digit number
Oh, dude, you want to know the unit's digits of the product of the first 21 prime numbers? Well, let me casually tell you that the unit's digit of a product depends on the unit's digits of the numbers being multiplied. Since the unit's digit of all prime numbers greater than 5 is either 1, 3, 7, or 9, the product of the first 21 prime numbers will end in a unit's digit that is a result of multiplying these digits together. Cool, right?
Any 5-digit number is greater than a 4-digit one.
An n-digit number has 4^n such numbers.
9218 9425