5

Five
5

Five is the number that comes after 4, a number that is just large enough that it can be a little tricky to recognize at once. For example, try to count the e's in:

deeeeerp

You can’t really tell that there are 5 e’s without counting. How about:

ooooo

A bit easier since the o’s are isolated, but you still might need to count them. How about:

o o
o o o

Since the o’s are arranged in a better and clearer way here, now you can instantly identify five o’s. This tells us that five is still usually within our primary number sense’s capabilities, but it often needs to be seen as two and three instead of just five - fiveness is beginning to be a concept that is a bit shaky in our mind, but I still consider five a naturally palpable number.

Just for a few of five's many many properties, it is:

For more on some of these properties, see primes at 19, groups of equally spaced primes at 47, polyominoes at 12 and 35, Fibonacci numbers at 89, Fermat numbers at 257, and automorphic numbers at 76.

Five is significant to humanity because it is half of our normal base, or ten. For example, tally marks are grouped in five and top 5 lists are common. 5's significance as half our base is because humans have ten fingers. Five fingers on each human hand (and toes on each foot) instantly proves that five is still very common in nature - most mammals have five digits per limb, like paws of cats and dogs. If we had, say, six fingers per hand, our number system would definitely be based on either six or twelve. Some early numbering systems were actually five-based instead of ten-based, and many had five as a sub-base.

Also, since 5 is half of our numerical base, testing for divisibility by 5 is a piece of cake in base ten - the last digit has to be 0 or 5. It's the single easiest prime to test divisibility in base ten, followed by 2, 3, and 11.

There are several things that come in 5's, such as the five weekdays (Monday through Friday), the five senses (sight, touch, smell, taste, feel) five fingers (thumb, index, middle, ring, pinkie), and the five pillars of Islam. This is partially because of 5's symmetrical feel (see 3 for more) and partly because 5 is half of our base.

The main prefixes for five are quint- (Latin, such as quintillion, quintuplets, quintet, quintessential) and penta- (Greek, such as pentagon, pentagram, pentatonic). Both are commonly used.

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