LIGO 6th science run (S6) were analyzed by Einstein@Home and the results were published on 18 November 2016. No signal was found and the search set the most stringent upper limits for an all-sky search for continuous gravitational waves at the time of publication. In the most sensitive frequency band between 170.5 Hertz and 171 Hertz there were (with 90% confidence) no continuous gravitational waves with a strain amplitude of more than 5.5×10−25 detected. At frequencies of 230 Hertz, the search results exclude neutron stars with ellipticities greater than 10−6 within 100 parsecs of Earth. Einstein@Home conducted a directed search for continuous gravitational waves from the central object in the supernova remnant Cassiopeia A. It used data from the LIGO S6 run and searched over a range of frequencies from 50 Hertz to 1000 Hertz, because the spin frequency of the central object is unknown. No signal was found. The upper limits on gravitational-wave emission from Cassiopeia A were the most stringent at the time of publication, about a factor two lower than previous upper limits. On 28 December 2016 results from a follow-up of the all-sky search for continuous gravitational waves in LIGO S6 data were published. Out of a total of 3.8 × 1010 signal candidates from the earlier search, the 16 million most promising were analyzed using a four-stage hierarchical process. No candidate was found to be consistent with an astrophysical source of continuous gravitational waves. In the frequency band between 170.5 Hertz and 171 Hertz the upper limit (90% confidence) on the strain amplitude was 4.3×10−25, a factor 1.3 lower than in the previous search. Searches for continuous gravitational waves are limited by the available computing power. Within the project, research on improving the sensitivity of the searches with new methods is conducted. In late 2017 two publications were published, describing improved methods of candidate clustering in the hierarchical searches and new “veto” methods that distinguish between astrophysical continuous gravitational waves and detector artifacts mimicking them. Both these new methods were employed in the first Einstein@Home all-sky search for continuous gravitational waves in Advanced LIGO data from the first observing run (O1), the results of which were published on 8 December 2017. The first part of the search investigated the lower end of the LIGO frequency band between 20 Hertz and 100 Hertz. No signals were found. The most stringent upper limit (90% confidence) on the