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IMC 1999 — Keystage 3 (IWYMIC) — team Question 1

xIMC · IMC 1999 — Keystage 3 (IWYMIC) — team

Question 1

(a) Decompose $9^8+7^6+5^4+3^2+1$ into prime factors.

(b) Find two distinct prime factors of $2^{30}+3^{30}$.