Problem 1117
The pattern ABBCCCDDDDEEEEE… continuously repeats such that after the final Z the letters ABBCCCDDDDEEEEE… begin again. If the number 1 represents A and 2 represents B, … and 26 represents 26, what number will represent the 4000th letter in the pattern? In other words, if the 4000th letter in the pattern in B, the number will be 2.
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