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math.NT2021
Powers of 3 with few nonzero bits and a conjecture of Erdős
Vassil S. Dimitrov, Everett W. Howe
Using completely elementary methods, we find all powers of 3 that can be written as the sum of at most twenty-two distinct powers of 2, as well as all powers of 2 that can be writt…
math.NT2010★ 17 cited
Lower bounds on the lengths of double-base representations
Vassil S. Dimitrov, Everett W. Howe
A double-base representation of an integer n is an expression n = n_1 + ... + n_r, where the n_i are (positive or negative) integers that are divisible by no primes other than 2 or…