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 2006-09-02, 22:46 #1 jasong     "Jason Goatcher" Mar 2005 3×7×167 Posts series of numbers I'm not sure if you guys will think this is a legitimate(sp?) puzzle, but here goes. I'm going to list some numbers, starting with the first in the series, and I want you guys to tell me what the pattern is, and whether or not there are more numbers in the series: 332 208 143 118 96 89 81 78 73 68 67 63 62 61 59 59 57 56 56 54 54 53 52 52 51 51 50 Last fiddled with by jasong on 2006-09-02 at 22:49
 2006-09-06, 20:08 #2 jasong     "Jason Goatcher" Mar 2005 3·7·167 Posts Hints: Consider the aspects of 2^n-1. Also, even though this puzzle has no connection to Mersenne numbers, Consider the numbers between P_9 and P_10 of the Mersenne equation, without modular arithmetic(think of the actual numbers). What commonly known number exists between them? This number has a very big connection to my series.
 2006-09-08, 23:57 #3 jasong     "Jason Goatcher" Mar 2005 350710 Posts One more hint: Each of the numbers is rounded down to the closest integer, and in their "pure" form it is technically impossible for any of the numbers to be a whole integer.
2006-09-09, 04:34   #4
cheesehead

"Richard B. Woods"
Aug 2002
Wisconsin USA

22·3·641 Posts

Quote:
 Originally Posted by jasong Each of the numbers is rounded down to the closest integer, and in their "pure" form it is technically impossible for any of the numbers to be a whole integer.
Good grief!! You should have told us that at the beginning!!! Since GIMPS works on integers, it's natural for readers to assume that integers presented in puzzles are their exact values, not rounded approximations of nonintegers. Here I wasted all that time (at least 22 seconds!) wondering about the repeated values 59 59, 56 56, 54 54, 52 52, 51 51. (*snorts and turns elsewhere*)

Last fiddled with by cheesehead on 2006-09-09 at 04:40

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