| 199 | Radius of convergence | Deep | Lemma | Ratio testLimits involving e | |
| 1602 | Inverse Logarithmic Series | Deep | Hall & Knight | reversion of seriesexponential series+1 | |
| 1608 | Common logarithms of 7, 11, and 13 | Deep | Hall & Knight | Logarithmic seriesNumerical approximation | |
| 1615 | Coefficient of x^n in Logarithm Expansion | Deep | Hall & Knight | Power seriesLogarithmic series | |
| 1619 | Logarithms of Small Primes | Deep | Hall & Knight | LogarithmsDecimal approximations | |
| 1707 | Finiteness of an infinite product | Deep | Hall & Knight | infinite productsconvergency | |
| 1716 | Higher-order ratio test | Deep | Hall & Knight | Raabe's testlogarithmic test | |