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IMC 2007 — Keystage 3 (IWYMIC) — individual Question 15

xIMC · IMC 2007 — Keystage 3 (IWYMIC) — individual

Question 15

A decimal prime is absolute if every permutation of its digits is prime. Examples include $2,3,5,7,11,13(31),17(71),37(73),79(97),113(131,311),199(919,991),337(373,733)$. Prove no absolute prime contains all four digits one, three, seven and nine.