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Enigma Number 1614

By Richard England

22 September 2010

Letters & products

Six is the product of two primes; one of those primes is the number of letters that the product contains when written as a word in English. (6 = 3×2, and SIX has 3 letters.)

(1) Which 2-digit integer is likewise the product of two primes, one of which is the number of letters that the product contains when written as a word in English?

(2) What is the smallest such 3-digit integer?

(3) What is the smallest such 4-digit integer?

Allow for AND appearing in all integers greater than 100; e.g. ONE HUNDRED AND ONE has 16 letters.

WIN…

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