tl;dr: This morning I tweeted:

Of course I have a spreadsheet on my desktop containing the first 10,000 primes. Doesnâ€™t everybody?

— Keith Dawson (@kdawson) May 30, 2018

What occasioned this tweet was exploring a mild curiosity about how a sequence of products of the primes would grow. In my own head I had provisionally dubbed this sequence “Prime Factorial,” because it is the product of all numbers up to a given point, but in this case using as input the primes instead of the natural numbers.

Spoiler: It grows damn fast.

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