# Tag Info

Accepted

### Prime Number Snake

First, we want to take a look at the snake itself. Then, let's take a look at the grid, and see if there are some obvious features. So, let's fill those in: Then, because the snake has more white ...
• 77.6k
Accepted

### Prime tree game

The answer is PROBABLY I don't have a proof yet, but experimenting with it will yield something like My strategy is Now my reasoning is that One idea to rigorously prove it is to use some result ...
• 7,397
Accepted

• 30.3k
Accepted

### Prime number snake (2)

(The earlier version of this answer contained more praise for this puzzle, sometimes comparing it to the earlier one. I only now noticed that this snake was indeed not posted by the OP of the original ...
• 77.6k

i) ii)
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• 2,684
Accepted

### Living in prime years

They were born in the year In fact, note that
• 2,595
Accepted

### Reconstructing the results of a 6-team soccer tournament

First: Now: Next: Now We're nearly there. Let's draw up a table. Entries are scores for the team on the left when they played against the team on the top. And So we're done, and here is the ...
• 120k

### A King's Hamiltonian Tours

Solution for the $5$x$5$ grid Other solutions for the same grid are For the $6$x$6$ grid I noted that This leads to this conclusion for the $6$x$6$ grid
• 241
Accepted

### Prime to number conversion

It might be more fun to fill the whole table. I've started with a few examples: \require{begingroup}\begingroup \def\*{\times } \begin{array}{|c|c|c|c|c|} \hline n& 2,3,5 & 2,3,7 ...
Accepted

### Scrabble with prime numbers!

EDIT2: My solution was already accepted, but (I assumed) far from optimal. I finally made myself a prime checking algorithm and checked the 32 numbers that allow maximum scoring for the main 'word'. ...
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• 101

### Prime to Prime: Get all first 25 Prime Numbers using up to 4 Primes

83 is probably not allowed - I swear I'll find a legitimate solution soon... arrgh... Using 2,3,5,7: $2, 3, 5, 7 = 2, 3, 5, 7$ $11 = 7 + 5 + 2 - 3$ $13 = 7 + 5 + 3 - 2$ $17 = 7 \cdot 2 + 3$ \$19 = 7 \...
• 6,778

### Dividing the first 20 numbers into 3 lists

Incorrect answer Oops! The "solution" below is wrong in the following way: Unfortunately it's 3:25am local time and I don't have time to attempt a proper fix. My apologies; hopefully someone else ...
• 120k

### Find an integer where each sum of 5 consecutive digits is prime

Improving upon Gareth's answer (the details of which I will not repeat) with consideration of ThomasL's suggestion, a solution with 12 primes is found: Two solutions with 11 primes were also found:
• 14.9k
Accepted

• 7,720
Accepted

### Two equal-sized lists that produce prime sums

Computer search solution. A quick and dirty Python script then identifies... Here is the script: ...
• 1,134