phil1882 added a question in New Logic/Math Puzzlesrecursive number additionif n is composite, break it into its prime factors, if n is prime, place < > around n and replace n with the nth prime its is. the first 20 numbers then are...
1) there is no general method for adding recursive numbers.
2) numbers that differ by 1 wont differ in recursive representation by more than 2 brackets
3) symmetric recursive numbers, recursive numbers that can be represented in such a way that they are a mirror image at the middle, grow at a logarithmic rate somewhat similar to the primes.
can you confirm or disprove any of these?
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phil1882 added a question in New Logic/Math Puzzlesnumbers by the bookFive men, one of which is Greg each selected 5 unique 3 digit numbers from a hat. given the clues, can you tell what the numbers are and the men who selected them?
1. Each digit for the number chosen by each man is unique. (that is, if the number begins with 1, 1 wont appear anywhere else in the number.)
2. Each digit for each place between men is unique. (that is, if a number begins with 1, no other number begins with 1.)
3. Only the digits 1-5 are used.
4. Andy has the smallest number, and it's evenly divisible by 5.
5. Both Bob's and Fred's numbers are evenly divisible by 3.
6. Bob's number is smaller than Fred's.
7. Tim's number is evenly divisible by 2, and a prime.
8. Tim's number is greater than Bob's.
9. Fred's middle most number is prime.
10. Bob's middle and last number are odd.
11. the middle digit of Tim's number is twice as big as Andy's.
good luck and enjoy!
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