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For example, to find the seventh Fortunate number, one would first calculate the product of the first seven primes (2, 3, 5, 7, 11, 13 and 17), which is 510510. Adding 2 to that gives another even number, while adding 3 would give another multiple of 3. One would similarly rule out the integers up to 18.
Gilbreath observed a pattern while playing with the ordered sequence of prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ... Computing the absolute value of the difference between term n + 1 and term n in this sequence yields the sequence
41, 83, 167 (The next number would be 335, but that is not prime.) 89, 179, 359, 719, 1439, 2879 (The next number would be 5759, but that is not prime.) Examples of complete Cunningham chains of the second kind include these: 2, 3, 5 (The next number would be 9, but that is not prime.) 7, 13 (The next number would be 25, but that is not prime.)
For every 3 non-theme words you find, you earn a hint. Hints show the letters of a theme word. If there is already an active hint on the board, a hint will show that word’s letter order.
Hints About Today's NYT Connections Categories on Wednesday, December 11. 1. An idyllic or picturesque place. 2. To function properly, these items require a vigorous, up-and-down motion before use. 3.
1 is read off as "one 1" or 11. 11 is read off as "two 1s" or 21. 21 is read off as "one 2, one 1" or 1211. 1211 is read off as "one 1, one 2, two 1s" or 111221. 111221 is read off as "three 1s, two 2s, one 1" or 312211. The look-and-say sequence was analyzed by John Conway [1] after he was introduced to it by one of his students at a party. [2 ...
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