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A palindrome is a word, phrase, or sequence that can be read the same forward and backward. So technically, 1 can be the smallest.

Q: What is the smallest palindrome between 1 and 1000?

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717

Predecessor of a number is obtained by subtracting 1 from it. The smallest 4 digit number is 1000 and its predecessor is 1000 - 1 = 999.

only 1, 11

That would be 26 . . . its square is 676.There are two smaller palindromic squares . . . 121 and 484 ... but they're the squares of11 and 22 respectively, which are palindromic, so they flunk the question's specifications.

1 million = 1,000,000 = 1000² Which means we want: (1000 + 1)² - (1000 - 1)² , that is 1001² - 999² However, before we work that out, lets look at what we have. let a = 1000, b = 1, then: (1000 + 1)² - (1000 - 1)² = (a + b)² - (a - b)² Now (a + b)² = a² +2ab + b² and (a - b)² = a² - 2ab - b² → (a + b)² - (a - b)² = a² +2ab + b² - (a² - 2ab - b²) = 4ab As a = 1000, b = 1, this means (1000 + 1)² - (1000 -1)² = 4 × 1000 × 1 = 4000.

Related questions

The smallest palindrome is 1 or I

717

Since a palindrome is just a number that reads the same way back and forth, the smallest palindrome would be 1. As there are an infinite number of palindromes (as you could just take any palindrome and simply place the same number in front of it and behind it, for example: 3, 939,99399,9993999,999939999, etc.), there is no biggest palindrome (infinity)

Predecessor of a number is obtained by subtracting 1 from it. The smallest 4 digit number is 1000 and its predecessor is 1000 - 1 = 999.

only 1, 11

The lowest positive integer is 1.

That would be 26 . . . its square is 676.There are two smaller palindromic squares . . . 121 and 484 ... but they're the squares of11 and 22 respectively, which are palindromic, so they flunk the question's specifications.

1 million = 1,000,000 = 1000² Which means we want: (1000 + 1)² - (1000 - 1)² , that is 1001² - 999² However, before we work that out, lets look at what we have. let a = 1000, b = 1, then: (1000 + 1)² - (1000 - 1)² = (a + b)² - (a - b)² Now (a + b)² = a² +2ab + b² and (a - b)² = a² - 2ab - b² → (a + b)² - (a - b)² = a² +2ab + b² - (a² - 2ab - b²) = 4ab As a = 1000, b = 1, this means (1000 + 1)² - (1000 -1)² = 4 × 1000 × 1 = 4000.

4500

ther are 99 palindromes in between 1 and 1000.

Between 1 nanometre and 1 micrometre (= 1000 nm).

Race car is a palindrome for a formula 1 transport