Answer by user3294068 for Guessing a number with 250 divisors
There is no strategy that is guaranteed to ever win, thanks to the BOOM rule.If Alice picks $N = a^{124}\times b$, with $a$ and $b$ distinct primes, then $N$ has 250 factors. Bob's challenge is to...
View ArticleAnswer by Hugh Meyers for Guessing a number with 250 divisors
Surely I am missing something. The first guess First case:Second case:Finally,We can see this as follows:
View ArticleAnswer by Tony Ruth for Guessing a number with 250 divisors
You can solve for n in at most Here is how this works:Furthermore:example:Edit, I realized this does not work for the case n = $3^4 * 5 * 11^4 * 13^4$ because
View ArticleGuessing a number with 250 divisors
Alice and Bob play the following number guessing game.First Alice picks an integer $n$ with exactly $250$ positive divisors. These divisors include $1$ and $n$, and are denoted as...
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