I am an Australian with a PhD in physics who enjoys
running long computations to calculate prime related sequences. Iím
using about 15 old computers Iíve accumulated from family and friends
plus a modern GPU.
In 2022 I found the largest known term (so far!) for S(pk)
% pk = 0 (OEIS A007506). Currently Iím searching for terms of S(pk^n) %
k = 0 for n= 1,2,3... 19 and posting results as I find them on the OEIS:
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