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A smooth sequence of numbers like 799779977=17*19^6

Posted 9 months ago

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POSTED BY: Ed Pegg
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Posted 9 months ago

I'm told the next term might be 6676767776777676766677777677677 with a highest prime factor of 941.

POSTED BY: Ed Pegg

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POSTED BY: EDITORIAL BOARD
Posted 9 months ago

Suppose we denote two digits in such numbers simply as 0 and 1 and consider their sequence. For a number $6676767776777676766677777677677$ this is
${0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1}$
I wonder what the properties of this sequence are?
Will it be like Thue-Morse, or smth like this...

POSTED BY: Denis Ivanov
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