Highly abundant number
Highly abundant numbers were first learned about by Subbayya Sivasankaranarayana Pillai in 1943. Work on the subject was done by Paul Erdős and Leonidas Alaoglu in 1944. Alaoglu and Erdős discovered every highly abundant number up to 104. They also showed that the number of highly abundant numbers less than N is proportional to log2 N.