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The squares of the numbers 32, 33, 34,...,44

the square of the first number 32 is 1024

the square of the last number 44 is 1936

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Is 1500 a perfect square?

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All numbers between 1000 and 2000, or anywhere else, can be expressed as a power of another number.

3000

√2000 ≅ 44.7 √3000 ≅ 54.8 The squares of 45 to 54 lie within the range 2000 to 3000. There are thus 10 perfect square numbers between 2000 and 3000.

1000+1000 1000x2

The two thousand numbers either side of 1999 are 1000 and 2000. The difference between 1999 and these numbers are 999 and 1 respectively. Clearly the second is nearer.

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All numbers between 1000 and 2000, or anywhere else, can be expressed as a power of another number.

300

Do a search on Google, for "prime numbers" table, or "prime numbers" list, and you will surely find something.I cannot tell precisely without looking up a table or doing some longish calculus but as a gross estimatation there should be about this many prime numbers between 1000 and 2000:2000 / ln(2000) - 1000 / ln(1000) =~ 263 - 144 = 119Actual number of primes between 1000 and 2000 should be a little above 119(in the range [140, 160] i think)

3000

Answer : In total there are 22 numbers.

√2000 ≅ 44.7 √3000 ≅ 54.8 The squares of 45 to 54 lie within the range 2000 to 3000. There are thus 10 perfect square numbers between 2000 and 3000.

They are 1024, 1125 and 1372.

1000 to 2999 inclusive so 2000 numbers.

1000+1000 1000x2

1000

The two thousand numbers either side of 1999 are 1000 and 2000. The difference between 1999 and these numbers are 999 and 1 respectively. Clearly the second is nearer.

999 (whole) numbers. THere are the same number whether they are counted in ascending, descending or other order.