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Prime divisors of integer sequences

Event Category:
Undergraduate Math Club
Arindam Bhattacharyya

Given a sequence of integers, we look at the set of primes that divide at least one term of that sequence. For the sequence 2, 4, 8, 16, 32 ... there is just one, namely the prime 2. What about 1, 3, 7, 15, 31, ..? We will try to describe this set for polynomial sequences. Is this set infinite or not? If so, how dense is it? Towards the end, we mention a few results about exponential sequences.

Thursday, November 30, 2023 - 4:30pm
LGRT 1681