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Q: Find two numbers in a row whose squares contain the same three digits?

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874

There are nine numbers which contain only one digit. There are 90 numbers which contain two digits. There are 900 numbers which contain three digits. There is one number which contains four digits.Therefore, the number of digits is equal to (9x1)+(90x2)+(900x3)+4 = 2893 digits. If this includes spaces, there would be 999 spaces, therefore there would be 3892 keystrokes.

Six three-digit numbers contain only the digits 5 and 6. This is assuming you mean both the digits of 5 and 6. If not than 8, as it would include 555 and 666. 556, 565, 566, 655, 656, 665

there are 899 whole numbers that have three digits.

squares of prime numbers

There are no three consecutive numbers that are squares. Otherwise, there are an infinite sets of squares of three consecutive numbers: for example, {1,4,9}, or {4,9,16} or {576, 625, 676}

Squares of prime numbers have only three factors.

squares of prime numbers

That's an infinite list. Numbers with three factors are the squares of prime numbers.

Squares of primes.

Three numbers.

There are 900 three-digit numbers.

Assuming you mean permutations of three digits, then the set of numbers that can be made with these digits is: 345 354 435 453 534 543 There are six possible permutations of three numbers.

How many strings of three digits are there? 000 to 999, or a total of 1000. How many strings of three digits contain the same three digits? That's 000, 111, 222 ... 999! ten in total. The difference is your answer: 1000-10 = 990.

Squares of prime numbers have exactly three factors.

172

Three digits.

Numbers with exactly three factors are squares of prime numbers.

999 that is very easy

depends on your answer

100

757

Yes.

"100. The numbers are consecutive squares (1, 4, 9, 16, etc) grouped in sets of three digits."

The numbers with only three factors are squares of prime numbers.