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Can you guess the next bit?

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If you have a question about this talk, please contact Yuhan Gao.

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If you are given a string of numbers (say, binary digits), can you work out the next one in the sequence? If you are the Minister of Education in search of bracing exam questions you will say yes, otherwise you will say no. Nevertheless, there are times when a sequence looks random but it is possible to say what comes next. We shall mention some real-life applications but by and large the talk is about simple, though sometimes unexplained, properties of numbers.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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