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What are all the prime number for 16 to 32?

Answer 1

Julian Avila

#17, 19, 23, 29, 31#

The prime numbers between #16# and #32# are:

#17, 19, 23, 29, 31#

In that range, the odd composite numbers are:

#21 = 3xx7#

#25 = 5xx5#

#27 = 3xx3xx3#

#color(white)()# Bonus

Two of the prime numbers on our list are unique:

#17 = 2^(2^2)+1#

This is among the few Fermat primes that are known.

Pierre de Fermat conjectured that any number of the form #2^(2^n)+1# is prime, but it fails for all known values of #n# greater than #4#

#17# has many other interesting properties, e.g. It is the number of different possible symmetries of wallpaper patterns. It is also the only prime number equal to the sum of the digits of its cube: #17^3 = 4913# and #4+9+1+3 = 17#.

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#31 = 2^5-1#

which is a Mersenne prime, being of the form #2^p-1#

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Answer 2

Benjamin Altschul

The prime numbers between 16 and 32 are: 17, 19, 23, 29, and 31.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.