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The number of virus particles on Earth is frequently reported in the scientific literature and in general-interest publications as being on the order of 1031, with some confusion about whether this is a high or low estimate. This number is often given without a source, though it should be attributed a papers by Roger Hendrix published in 1999. As with any oft-repeated statistic, it is informative to know how it has been derived and whether it may have to be revised in the light of new evidence. I review the history of the 1031 estimate