- #1

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101110111110111101100011001110111?????

What fills in the question marks?

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- #1

- 509

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101110111110111101100011001110111?????

What fills in the question marks?

- #2

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01111. If we split the binary in groups of four, the third-to-last quartet is a continuation of the first pattern in the 1st and 2nd quartets. The last two digits perhaps are a continuation of the first two digits of the third quartet. But this is just a guess.... i'm probably wrong.

- #3

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I don't understand what you mean. 01111 isn't what I had in mind though. Here's a hint: looking for repetition probably will not get you to the right answer.

Last edited:

- #4

- 344

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1011

1011

1110

1111

0110

0011

0011

1011

1???

??

I noticed the continuation of the "1011" 3rd from the bottom as the repetition of the 1st "1011", so I just (erroneously) styled the last five digits as a continuation of the rest of that quartet and the first two of the next.

- #5

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Aha, I see.

- #6

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the answer is 11101. because he said it wasn't a simple repetition thing, i the next logical conclusion is that it's binary. because there were 5 question marks, i figured the last binary number was five digits long.

i figured the numbers would go in increasing order (they don't have to, but i guessed, and they did). so i looked at the previous 5 digits... in binary, that's 23. so i did the previous 5, etc: 19, 17... then the previous 5 digits would have made a larger number (29), so i figured i'd decrease it to four digits, which made 13 in binary. so by this point i have 19,17,13, and it's pretty clear that it's a pattern of prime numbers. sure enough, the list goes on: 11,7,5,3,2... so the next number in the pattern would be 29, or 11101.

- #7

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You got it rygar!

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