Number theoryDifficulty 3.0AMC 10/12Prove itUnited Kingdom
Show that there are at least three prime numbers p less than 200 for which p+2, p+6, p+8 and p+12 are all prime. Show also that there is only one prime number q for which q+2, q+6, q+8, q+12 and q+14 are all prime.
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