23 Sept 2017 Collatz: Search finished
After less than one and a half months (14 August to 23 September), we were able to successfully complete our search project:
- We have found all the smaller path records as well as all starting numbers <260,
whose maximum > 2 * 1016 * starting number (only such numbers are given as candidates)
which were found by other persons (mainly Tomas Olivera e Silva and Eric Roosendaal);
and thus validate our approach in the opposite direction.
- We have found 4 new path records and have been able to prove that all
starting numbers <87 * 260 (in particular also all <1020) land at 1 and pass into the trivial cycle.
- Thus, we have also shown that a non-trivial cycle must consist of more than 17 billion sequence members
6 Sept 2017 Collatz: Nearly 50% done
We finished so far nearly 50% of our Nontrivial Collatz Cycle search and got 500 path maxima and at least one new Path Record in Eric Roosendaals list.
4 Sept 2017 ARM Apps for Perfect Cuboid
The Perfect Cuboid app is now also available for 32 and 64 bit ARM systems running with Linux.
4 Sept 2017 Badges for Perfect Cuboid
We have now also badges for Perfect Cuboid and the application is also available for 64 bit Linux.
3 Sept 2017 New app Perfect Cuboid
The new subproject Perfect Cuboid is now in Test for 64 Bit Windows systems.
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