benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / How many positive integers 2≤a≤101 have the property that there exists a positive integer N for which the last two digits in the decimal representation of a^(2^(n)) is the same for…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many positive integers 2≤a≤1012 \leq a \leq 101 have the property that there exists a positive integer NN for which the last two digits in the decimal representation of a2na^{2^{n}} is the same for all n≥Nn \geq N ?
Plain-text mathematical notation (without MathML)
How many positive integers 2≤a≤101 have the property that there exists a positive integer N for which the last two digits in the decimal representation of a^(2^(n)) is the same for all n≥N ?
Original LaTeX notation
How many positive integers $2 \leq a \leq 101$ have the property that there exists a positive integer $N$ for which the last two digits in the decimal representation of $a^{2^{n}}$ is the same for all $n \geq N$ ?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
967f5af5-720b-5d4d-9f7b-3c4de8adaeda
task_key
test--967f5af5-720b-5d4d-9f7b-3c4de8adaeda
task_revision_id
1
config / split
/ test

Official source

initial import