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 Prime Hopscotch (Posted on 2010-01-06)
Replace the numerals 1 through 8 with ever increasing prime numbers, always using the next lowest possible that is available1 to fulfill the criteria on the left. Then do the same for the right.

Present a series for the left, and one for the right.

 7 + 8 = Square 6 = Prime 4 + 5 = Square 1 + 2 + 3 = Square 7 + 8 = Cube 6 = Prime 4 + 5 = Cube 1 + 2 + 3 = Cube

If it was required that the Right set required "1" to be the next Prime following on after that used for the "8" in the Left set, what might the Right set read, if indeed it is possible?

1. Note, "always using the next lowest possible that is available" means that if it is next on the list it cannot be dismissed unless it is the last of a group of two or three and will not fulfill the criterion. Only then may you advance to the next.

 Submitted by brianjn Rating: 4.0000 (1 votes) Solution: (Hide) ```Left: 2, 3, 11 [16] 13, 23 [36] 29 31, 113 [144] Right: 2, 3, 59 [64] 61, 1667 [1728] 1169 1693, 4139 [5832] Right as a following on: 127, 131, 11909 [12167] 11923, 15077 [27000] 15083 15091, 58997 [74088] ``` The above were my original solutions. I am intrigued by some of the comments but I won't be addressing them. It seems that from comments that this might be a stepping stone into other explorations, of which I naturally don't have a right.

 Subject Author Date re(2): continuing on with the brianjn 2010-01-07 04:01:13 re(2): continuing on with Good thinking. Ady TZIDON 2010-01-07 02:30:09 re: continuing on with the Justin 2010-01-07 02:14:48 re: continuing on with the "square" version brianjn 2010-01-07 01:23:54 continuing on with the "square" version (spoilers for part 1) Charlie 2010-01-07 01:00:34 re(3): computer solution - query brianjn 2010-01-06 22:55:05 re(2): computer solution - query Charlie 2010-01-06 22:36:09 re: computer solution - wonderment brianjn 2010-01-06 22:22:29 re: computer solution - query brianjn 2010-01-06 22:11:44 right down Ady TZIDON 2010-01-06 16:25:26 right up Ady TZIDON 2010-01-06 16:20:22 re: left down Justin 2010-01-06 15:48:43 computer solution Charlie 2010-01-06 15:44:13 Solution to left and right Justin 2010-01-06 15:40:20 left down Ady TZIDON 2010-01-06 15:34:25 left up Ady TZIDON 2010-01-06 15:28:21 solution dependant upon interpretation Dej Mar 2010-01-06 14:52:27

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