Unpublished table, 'The reciprocal of every prime between 30,000 and 40,000' by William Shanks Shanks shares a table of primes and their reciprocals between 30,000 and 40,000. The left-hand column of the table shows prime numbers while the right-hand column shows 'the number of figures in the period of of the reciprocal of each prime.' Subject: Mathematics Communicated by G [George] Salmon. Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 23 of the Proceedings of the Royal Society as 'On the number of figures in the reciprocal of each prime number between 30,000 and 40,000'. 1875