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2. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...

3. Liberty Head double eagle - Wikipedia

   en.wikipedia.org/wiki/Liberty_Head_double_eagle

   The Liberty Head double eagle or Coronet double eagle is an American twenty-dollar gold piece struck as a pattern coin in 1849, and for commerce from 1850 to 1907. It was designed by Mint of the United States Chief Engraver James B. Longacre . The largest denomination of United States coin authorized by the Mint Act of 1792 was the eagle, or ...

4. List of The Price Is Right pricing games - Wikipedia

   en.wikipedia.org/wiki/List_of_The_Price_Is_Right...

   A contestant is shown two prizes and the difference in their prices. The contestant must decide whether that amount must be added to or subtracted from the price of the prize on the left to yield the price of the one on the right. A correct answer wins both prizes, plus a cash amount equal to their price difference. [20]

5. Chuck E. Cheese launches membership plans to help families ...

   www.aol.com/chuck-e-cheese-launches-membership...

   The three tiers of Fun Pass are: Bronze Fun Passes for $7.99 per month with 40 games per visit and 20% off most food and drinks; Silver Fun Pass for $11.99 per month with 100 games per visit and ...

6. These are our top travel must-haves to buy during Walmart's ...

   www.aol.com/lifestyle/these-are-our-top-travel...

   Tripcomp 3-Piece Hardside Luggage Set. $100 $400 Save $300. When we see a markdown this drastic, we take notice, especially when multiple items are included! This three-piece luggage set comes ...

7. The best extended 4th of July kitchen sales, according to a ...

   www.aol.com/lifestyle/the-best-extended-4th-of...

   Plus, the iconic KitchenAid stand mixer that is currently $80 off. If you need to sharpen your kitchen skills, the high-quality 6-piece Calphalon knife set is more than 50% off. And there is ...