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Primel – guess a 5 digit prime number – each guess must be a prime

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Re: Primel – guess a 5 digit prime number – each guess must be a prime

#52
post #17

So are people just really good with numbers? I don't know any 5 digit primes nor do I know a way to calculate them on the fly.

I intuited a probably-inaccurate trick with exponentially raising a small prime (e.g 7*7*7etc), doubling the multiple (*2), and subtracting 1 (to get an odd number). That got me two substantially-different primes and narrowed my numbers a lot, which then became guesswork. My guesses in the end: -?--- ?---! ?-??! ?!??! !!!!!

The number you come up with in that way is at least guaranteed to not be divisible by 2 or 7. Obviously that doesn't mean it's prime but it definitely helps your odds.

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#53
post #16

Earlier quoted context omitted.

0 is a digit. Apparently I have stumbled over an idiom of the prime-enthusiast community.

I don't think it's specific to "the prime-enthusiast community". Most people would look at you oddly if you claimed that 3 is a five-digit number.

On the flip side, many people here would claim that 0x00000003 is an eight digit number.

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#54
post #49

I got a popup 'Not a 5 digit prime' on my first try and it wouldn't let me try any further. Not sure if I'm dense or if the UX is just terrible I had tried 18141, by the way, which I modestly think was a pretty good guess in hindsight given its only two factors are 3 and 6047. 19141 would have been a prime, but perhaps not the one I was supposed to find? I don't play Wordle so I'm a little confused

when sum of the digits is divisible by 3, the number itself is divisible by 3 1+8+1+4+1 = 15 15/3 = 5

Sure, but that shouldn't halt the game entirely, should it?

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#55

12347 - 65393 ++-- [solution next - omitted for spoiler reasons] I was more surprised about how little trial and error I needed to find primes than about how few guesses it actually took...

log(100000) is 5, so approximately 1 in 5 numbers below 100k is prime. Obviously those in the range 10000-99999 are less dense, but primes are still surprisingly common.

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#56

I got a popup 'Not a 5 digit prime' on my first try and it wouldn't let me try any further. Not sure if I'm dense or if the UX is just terrible I had tried 18141, by the way, which I modestly think was a pretty good guess in hindsight given its only two factors are 3 and 6047. 19141 would have been a prime, but perhaps not the one I was supposed to find? I don't play Wordle so I'm a little confused

Were you able to hit the delete key and remove the typed numbers? (Works on wordle too)

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#57
post #49

Earlier quoted context omitted.

when sum of the digits is divisible by 3, the number itself is divisible by 3 1+8+1+4+1 = 15 15/3 = 5

Sure, but that shouldn't halt the game entirely, should it?

Only primes are valid guesses, just like how in Wordle only English words found in a dictionary are valid.

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#58
post #38

Earlier quoted context omitted.

Clear local storage.

Wow, that’s some bad UX. Especially when it can’t as easily be done on mobile.

It’s intentional, same as Wordle’s designed did it.

Re: Primel – guess a 5 digit prime number – each guess must be a prime

#59
post #16

Earlier quoted context omitted.

I don't think it's specific to "the prime-enthusiast community". Most people would look at you oddly if you claimed that 3 is a five-digit number.

On the flip side, many people here would claim that 0x00000003 is an eight digit number.

Only to win an argument by nitpick golfing. In everyday serious conversation that’s a 4-byte number, not an 8-digit number.
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