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- W2104711808 abstract "In the Collatz 3x+1 problem, there are 3 possibilities: Starting from any positive number, we either reach the trivial loop (1,4,2), end up in a non-trivial loop, or go until infinity. In this paper, we shall show that if a non-trivial loop with m odd numbers exists, then its minimum odd number is bounded above by a function of m. We shall also use that bound to calculate the least number of odd elements required for a non-trivial loop to exist. Also, the generalized bounds for the px+q problem are given." @default.
- W2104711808 created "2016-06-24" @default.
- W2104711808 creator A5062198196 @default.
- W2104711808 date "2009-07-17" @default.
- W2104711808 modified "2023-09-27" @default.
- W2104711808 title "New lower bounds for the size of a non-trivial loop in the Collatz 3x+1 problem" @default.
- W2104711808 hasPublicationYear "2009" @default.
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