Yeah, those models need to be retrained often. Not to update an index, but to keep up to date with the new content on the internet, and of course to create new, improved models with more parameters: note that after GPT, we had GPT-2, GPT-3, GPT-3.5 (a.k.a. ChatGPT) and rumours are we're now at GPT-4 (powering Bing search). Meanwhile, each of those models was trained in multiple versions, with different numbers of parameters; for example, the GPT-3 that first broke the barrier of hype was the largest, at 175 billion parameters, of four or five models. Plus, it seems reasonable that OpenAI, Google et al. are retraining models every once in a while to correct mistakes (e.g. OpenAI say in their GPT-3 paper that they couldn't retrain their 175Gp model to correct a mistake, because of the high cost of training, but that was a couple of years ago and they have clearly trained multiple large models since, so why not GPT-3 again? Except of course they're not very -cough- open, about those things, so we can't know for sure).
Bottom line, the cost of training "GPT-3" varies a lot and is paid multiple times.
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GPT-3 paper for ref: https://arxiv.org/abs/2005.14165