Powers of p in bases of the form 2p
DOI:
https://doi.org/10.35819/remat2023v9i2id6625Keywords:
Recurrence Relation, Powers, Even Numerical BasesAbstract
In this work, we will explore the calculation of powers of p in bases of the form 2p. We will see that if p is even and n>=2, then the power p^n (in base 2p) has the unit digit equal to 0. In the case in which p is odd of the form p=2q+1, with q even, the power p^n (in base 2p) has the unit digit equal to p and the second-order digit equal to q. Furthermore, we will see that such powers can be recursively obtained by through a division by 2 and the addition of specific digits to the right of this quotient.
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