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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

#111

Post by Eduard »

bidirectional wrote: post #80
madcaptenor wrote: post #64

Earlier quoted context omitted.

You want a natural log there; ln(100000) ~ 11.5. That being said, the pool you're really working from is the numbers with last digit 1, 3, 7, or 9. One out of every 4.6 such numbers under 10^5 is prime. So just guessing until you find a prime is practical.

Ah you're correct. Annoying how Google interprets log(x) as base-10 (but more shame on me for not realising that e^5 is obviously not 100000). In my experience everyone uses log and ln interchangeable outside of lessons at school.

log(x) historically conventionally defaults to base-10. https://en.m.wikipedia.org/wiki/Common_logarithm

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

#114

Post by rozab »

tobyjsullivan wrote: post #70

My side-project this week has been searching for an optimal Wordle strategy. I figured it would make a great blog post but I haven't got that far yet. Step 1 is to find an optimal starting word. My most insightful finding so far has came from trying to define a cost function for comparing potential starting words. It turns out that "% of potential guesses [not] eliminated" is an excellent loss function. Importantly,…

I made a lil clone of wordle and found that the full list of solutions, past and future, is right there in the minified js. Could be useful for your analysis.

Maybe I shouldn't be sharing this, it's a bit sad to break the illusion that the creator is picking a new word for us every day.

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

#117

Post by jrockway »

07d046 wrote: post #31
syrgian wrote: post #18

Earlier quoted context omitted.

Same, I was so surprised to get it solved at the second row, after ~8 attempts to find a prime without the numbers that had not matched. 12347 - [solved]

It seems a lot of us came up with 12347 for the first line.

I read the "help" thing, which suggested 71429 as the first guess, so I started there. (9 was right, and the other digits were wrong. That meant the second guess got the right digits, and the third guess got the right prime.)

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

#118

Post by olliej »

rozab wrote: post #114
tobyjsullivan wrote: post #70

My side-project this week has been searching for an optimal Wordle strategy. I figured it would make a great blog post but I haven't got that far yet. Step 1 is to find an optimal starting word. My most insightful finding so far has came from trying to define a cost function for comparing potential starting words. It turns out that "% of potential guesses [not] eliminated" is an excellent loss function. Importantly,…

I made a lil clone of wordle and found that the full list of solutions, past and future , is right there in the minified js. Could be useful for your analysis. Maybe I shouldn't be sharing this, it's a bit sad to break the illusion that the creator is picking a new word for us every day.

I had always assumed it was a random word from a dictionary. I didn’t think someone was actually choosing a word manually :)

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

#119

Post by baking »

tobyjsullivan wrote: post #70

My side-project this week has been searching for an optimal Wordle strategy. I figured it would make a great blog post but I haven't got that far yet. Step 1 is to find an optimal starting word. My most insightful finding so far has came from trying to define a cost function for comparing potential starting words. It turns out that "% of potential guesses [not] eliminated" is an excellent loss function. Importantly,…

Today 538 gave the optimal starting word and all the best second words, with a 60% chance of solving it in three words. Completely ruined the game, in my opinion.

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

#120

Post by olliej »

hadem wrote: post #97
tobyjsullivan wrote: post #70

My side-project this week has been searching for an optimal Wordle strategy. I figured it would make a great blog post but I haven't got that far yet. Step 1 is to find an optimal starting word. My most insightful finding so far has came from trying to define a cost function for comparing potential starting words. It turns out that "% of potential guesses [not] eliminated" is an excellent loss function. Importantly,…

My first two guesses are usually AUDIO and RENTS if it helps ¯\_(ツ)_/¯

I use WEIRD, my completely untested and I researched intuition being that knowing common consonants are in a word isn’t helpful unless you get the right place, but knowing the vowels is. At least that was my logic when I first played and my brain produced WEIRD.

I’m sure it’s far from optimal, but I continue to use it because I obviously understand how I came to choose it, and it “works” and survivor bias is powerful :)

I recall seeing HN posts from people working out “optimal” starting words and guess patterns, but I just like mine :)

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