The Puzzlers

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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