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They both considered "identity elements". 0 is actually the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Mathematicians refers to 0 as the additive identity (or better said, the reflexive identity of addition). 1 is a separate and special entity called 'Unity' or 'Identity element'. 1 is actually the identity element under multiplication for the real numbers, since a x 1 = 1 x a = a. Mathematicians refers to 1 as the multiplicative identity (or better said, the reflex identity of multiplication).

Q: 0 and 1 are not prime numbers but apparently they have their own special names what are they?

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All prime numbers are special numbers because they help us to find the lowest common multiple of numbers and their highest common factor.

it is the only even prime number

There prime numbers

There are none with the special exception of 2

they can only be divided by themselves and the number one. One though is not a prime number

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All prime numbers are special numbers because they help us to find the lowest common multiple of numbers and their highest common factor.

The property of prime or composite is not defined for the number 1, just as it is not defined for any number that has a fractional part. There are no special names for numbers that are not prime nor composite.

it is the only even prime number

They are special because they are prime numbers having only two factors

There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".

There prime numbers

There is no such thing as THE prime number. Prime numbers are not written in any special way.

Co-prime or relatively prime.

There are none with the special exception of 2

They don't!

what are prime numbers

2,3,5,7,11,13,17,19,23,29 1 is not a prime number it is a special number for some reason