A very noteworthy HP-15C mention

[EdS2]

(04-19-2023 07:42 PM)EdS2 Wrote:  .
A very nice find! And what a possibility - that we might be able to re-do Turing's analysis on an HP ... he only managed one abortive overnight run.

Reading further in this area, I see two interesting papers by RS Lehman, following Turing and correcting some errors too:
1966 Separation of Zeros of the Riemann Zeta-Function
1970 On the Distribution of Zeros of the Riemann Zeta-Function. doi:10.1112/plms/s3-20.2.303 

The first paper includes some ALGOL code, and running on an IBM 7090 separated about 33 zeros per second - 125 minutes of runtime in total, for 250,000 zeros.

The second paper notes and corrects some errors in the first.

Both papers are under 20 pages.

(I note that the ALGOL code extends over a few pages and includes more than one GOTO.)

Edit: this paper from 2000 looks well worth a perusal too
Borwein, J. M., Bradley, D. M., & Crandall, R. E. (2000). Computational strategies for the Riemann zeta function. Journal of Computational and Applied Mathematics, 121(1-2), 247–296. doi:10.1016/s0377-0427(00)00336-8