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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 £15 will be awarded to the sender of the first correct answer opened on Wednesday 27 October 2010. The Editor’s decision is final. Please send entries to Enigma 1614, New ÐÓ°ÉÔ­´´, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1608 Par hexcellence: 1 and 7

The winner Isabel Currie of Caversham, Reading, UK