Problems & Puzzles: Puzzles Puzzle 77.- Christmas Prime-Pine. Regarding the pine shown below, each sphere (X) is in contact with two (Y & Z) in the line below, such that: a) X = (Y + Z)/2 b) X, Y, & Z are prime numbers. c)All numbers in the pine must be distinct prime numbers (except in the question 4) Questions 1. Find the least assignation of primes for a Prime-Pine of R rows, for R>8 to… 2. In particular find the least solution for R = 36 and win the Prime Devil Prize.3. A one color - prime pine, R=5, with all the ending digits equal to "1" is the one with the last row being 11, 71,1571,1151 & 251. Find a larger one color - prime pine ending in the same D-ending digit (D=1, 3, 7 or 9). 4. Can you develop a method for making the least assignation to a pine of R rows, using distinct natural numbers?
(Merry Christmas and Happy New Year, folks…!!!) |
|||
|
|||
|
|
|||
|
