Competition problem — Number theory

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Number theory Difficulty 5.3 AIME, harder Find the answer

1. Find the sequence of two-digit pseudo-random numbers generated using the middle-square method, taking 69 as the seed.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

1. $69,76,77,92,46,11,12,14,19,36,29,84,5,25,62,84,5,25,62, \ldots$

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.