Find the Sequence of Pseudorandom Numbers Generated by the Power $$x _ { n + 1 } = x _ { n } ^ { 3 } \bmod 23$$

question 112

Short Answer

Find the sequence of pseudorandom numbers generated by the power generator $$x _ { n + 1 } = x _ { n } ^ { 3 } \bmod 23$$ and seed
x0 = 3.
The numbers in question 130-133 refer to an 8-digit student id at a large university. The eighth digit is a
check digit equal to the sum of the first seven digits modulo 7.

---

Definitions:

Cognitive Skill

The mental ability required for carrying out tasks that involve processing information, such as thinking, reasoning, problem-solving, and remembering.

Seriate

The process of arranging objects in order according to a property or criterion, such as size or color.

Concrete Operational

A stage in Piaget's theory of cognitive development, typically occurring between ages 7 and 12, where children gain the ability to think logically about concrete events.

Preoperational

A stage in Jean Piaget's theory of cognitive development, where children from ages 2 to 7 have not yet developed the ability to reason logically.