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What is the connection between Euclid and prime numbers?
Euclid (c. 300 BC) was one of the first to prove that there are infinitely many prime numbers. His proof was essentially to assume that there were a finite number of prime numbers, and arrive at a contradiction. Thus, there must be infinitely many prime numbers. Specifically, he supposed that if there were a finite number of prime numbers, then if one were to multiply all those prime numbers together and add 1, it would result in a number that was not divisible by any of the (finite number of) prime numbers, thus would itself be a prime number larger than the largest prime number in the assumed list - a contradiction.
What decimal is Less Than 2.42 But Greaer Than 2.0?
There are infinitely many such numbers.2.0000000012.00000000112.000000001100000000001etc.2.22.200000000012.200000001000000000101013There are infinitely many such numbers.2.0000000012.00000000112.000000001100000000001etc.2.22.200000000012.200000001000000000101013There are infinitely many such numbers.2.0000000012.00000000112.000000001100000000001etc.2.22.200000000012.200000001000000000101013There are infinitely many such numbers.2.0000000012.00000000112.000000001100000000001etc.2.22.200000000012.200000001000000000101013
How many rational numbers can be inserted between two given rational numbers?
Infinitely many.Infinitely many.Infinitely many.Infinitely many.
What decimal is between 0.425 and 0.475?
There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.4250000000000000000100010.425000000000000000010010.425000000000000000020.42500000000000000003and so on.
What is the decimal that go in between 0.55 and 0.5?
There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.There are infinitely many decimal numbers between any two numbers.0.50000000000000000100010.5000000000000000010010.5000000000000000020.500000000000000003and so on.
