Written by Michael Thomas De Vlieger, St. Louis, Missouri, 2024 0202.
This is a brief study of the mappings of the function max(pā, q) across natural numbers, where pā is the second least prime factor of n (or 1 if n is a prime power), and q is the smallest prime nondivisor of n. We show that the function takes prime values for certain classes of number.
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Concerns OEIS sequences:
A000079, A000224, A000961, A002110, A003557, A006530, A006881, A007947, A024619, A053669, A061345, A100484, A119288, A126706, A339116, A361098, A364997, A364998, A364999, A369690.
To cite:
Michael Thomas De Vlieger, Powers of Superprimorials, Simple Sequence Analysis, Article 20240202.