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math.NT2020
A Couple of Transcendental Prime-Representing Constants
Juan L. Varona
It is well known that the arithmetic nature of Mills' prime-representing constant is uncertain: we do not know if Mills' constant is a rational or irrational number. In the case of…
math.NT2020
Continued fractions for strong Engel series and Lüroth series with signs
Andrew N. W. Hone, Juan Luis Varona
An Engel series is a sum of reciprocals of a non-decreasing sequence of positive integers with the property that divides for all $n\geq…