Showerthoughts

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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. The most popular seem to be lighthearted, clever little truths, hidden in daily life.

Here are some examples to inspire your own showerthoughts: 1

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Amazon should've made Prime Day fall on a date corresponding to an actual three-digit prime number. (sh.itjust.works)

submitted 6 months ago* (last edited 6 months ago) by [email protected] to c/[email protected]

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Amazon is running a Prime Day sale on July 16 and 17. Setting aside the fact that this is two separate days, neither 716 nor 717 are prime numbers. They should've done 7/19 instead.

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[–] [email protected] 9 points 6 months ago (1 children)

How often do prime numbers occur in epoch time?

[–] [email protected] 3 points 6 months ago

Well the convention was to store it as a 32 bit signed integer, so that is any number from -2^31 to (2^31 - 1). Prime numbers are formally defined as a subset of whole numbers, so let's ignore the negative numbers and the number zero.

Fun fact: the largest signed 32-bit integer is itself a prime. And the wikipedia page lists it as the 105,097,565th prime.

By the time we hit the 2038 problem, there will have been about 105 million seconds since 1970 where the Unix time was a prime number. And it's a 10-digit number in base 10, where prime frequency is something about 4% of the numbers.

Does that answer your question about prime frequency today? Eh, I'm sure someone else can figure that out. If not, I'll probably have to wait until I'm in front of a computer.