Report on the new stage of Odd Weird Search
Verfasst: 24.02.2014 21:42
Hi everyone,
First of all, thank you a lot for contributing to Odd Weird Search! With your help, we have finished the search for numbers under 10^21, two orders of magnitude greater than the previous record. We can never do that without your help!
Here are some numbers of your contribution:
About 530000 workunits are released in total
24298561219965 = 2.43e13 abundant numbers are checked thorough the search, averaging to about 4.60e7 numbers per workunit
It will take roughly 100 years to finish the whole work on a single core
Since we haven't found our cunning little target, we will now proceed to a new stage of our search. This time, we will search for numbers up to 10^28, much higher than the range before, thus increasing (I hope) the chance of finding an odd weird number.
But there is a catch. If we do just as before, even with BOINC we cannot handle the work in manageable time. There are some compromise to take. We cannot really search for every number in the range, that would take too long. We can just look for some of them. So we choose to look only at numbers with lower abundance, i.e. a number with the sum of its factors not much larger than twice of it. With a heuristic argument, we are more or less sure that this choice will not lower the probability of finding one odd weird number by much.
In the case of this stage, we will only check for numbers with abundance less than 10^14. They will be bundled into about 48000 workunits, and as always the workunits are recycled for a better crunching experience. Since we only check the part of numbers where an odd weird one would most hide, even though we search for a much higher range, the overall workload may not increase much. Considering the time taken for the current stage, we might even have a third stage of searching.
Now currently we only have linux application, but we are working on a Windows one. So Windows users, stay tuned!
All in all, enjoy the new hunt for numbers and for badges!
fwjmath.
First of all, thank you a lot for contributing to Odd Weird Search! With your help, we have finished the search for numbers under 10^21, two orders of magnitude greater than the previous record. We can never do that without your help!
Here are some numbers of your contribution:
About 530000 workunits are released in total
24298561219965 = 2.43e13 abundant numbers are checked thorough the search, averaging to about 4.60e7 numbers per workunit
It will take roughly 100 years to finish the whole work on a single core
Since we haven't found our cunning little target, we will now proceed to a new stage of our search. This time, we will search for numbers up to 10^28, much higher than the range before, thus increasing (I hope) the chance of finding an odd weird number.
But there is a catch. If we do just as before, even with BOINC we cannot handle the work in manageable time. There are some compromise to take. We cannot really search for every number in the range, that would take too long. We can just look for some of them. So we choose to look only at numbers with lower abundance, i.e. a number with the sum of its factors not much larger than twice of it. With a heuristic argument, we are more or less sure that this choice will not lower the probability of finding one odd weird number by much.
In the case of this stage, we will only check for numbers with abundance less than 10^14. They will be bundled into about 48000 workunits, and as always the workunits are recycled for a better crunching experience. Since we only check the part of numbers where an odd weird one would most hide, even though we search for a much higher range, the overall workload may not increase much. Considering the time taken for the current stage, we might even have a third stage of searching.
Now currently we only have linux application, but we are working on a Windows one. So Windows users, stay tuned!
All in all, enjoy the new hunt for numbers and for badges!
fwjmath.
