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The Collatz conjecture [a] ... so 3k + 1 = 2 a k ′ with k ′ odd and a ≥ 1. The Syracuse function is the function f from the set I of positive odd integers into ...
A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any ...
Chowla conjecture: Möbius function: ⇒Sarnak conjecture [6] [7] Sarvadaman Chowla: Collatz conjecture: number theory: Lothar Collatz: 1440 Cramér's conjecture: number theory: Harald Cramér: 32 Conway's thrackle conjecture: graph theory: John Horton Conway: 150 Deligne conjecture: monodromy: Pierre Deligne: 788 Dittert conjecture ...
Lemoine's conjecture: all odd integers greater than can be represented as the sum of an odd prime number and an even semiprime. Minimum overlap problem of estimating the minimum possible maximum number of times a number appears in the termwise difference of two equally large sets partitioning the set { 1 , … , 2 n } {\displaystyle \{1,\ldots ...
In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. [1] The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the "3x + 1 problem".
Even and odd numbers. Parity; Divisor, ... Mertens function, Mertens conjecture, ... Collatz conjecture; Digit sum dynamics
Lothar Collatz (German:; July 6, 1910 – September 26, 1990) was a German mathematician, born in Arnsberg, Westphalia. The "3x + 1" problem is also known as the Collatz conjecture, named after him and still unsolved. The Collatz–Wielandt formula for the Perron–Frobenius eigenvalue of a positive square matrix was also named after him.
The Office of Personnel Management told workers replying to billionaire Elon Musk's questions about their job accomplishments was 'voluntary.'