### Overflow exception while performing parallel factorization using the .NET Task Parallel Library (TPL

##### - by Aviad P.

Hello, I'm trying to write a not so smart factorization program and trying to do it in parallel using TPL. However, after about 15 minutes of running on a core 2 duo machine, I am getting an aggregate exception with an overflow exception inside it. All the entries in the stack trace are part of the .NET framework, the overflow does not come from my code. Any help would be appreciated in figuring out why this happens.
Here's the commented code, hopefully it's simple enough to understand:
class Program
{
static List<Tuple<BigInteger, int>> factors = new List<Tuple<BigInteger, int>>();
static void Main(string[] args)
{
BigInteger theNumber = BigInteger.Parse(
"653872562986528347561038675107510176501827650178351386656875178" +
"568165317809518359617865178659815012571026531984659218451608845" +
"719856107834513527");
Stopwatch sw = new Stopwatch();
bool isComposite = false;
sw.Start();
do
{
/* Print out the number we are currently working on. */
Console.WriteLine(theNumber);
/* Find a

**factor**, stop when at least one is found (using the Any operator). */ isComposite = Range(theNumber) .AsParallel() .Any(x => CheckAndStoreFactor(theNumber, x)); /* Of the factors found, take the one with the lowest base. */ var**factor**= factors.OrderBy(x => x.Item1).First(); Console.WriteLine(factor); /* Divide the number by the**factor**. */ theNumber = BigInteger.Divide( theNumber, BigInteger.Pow(factor.Item1,**factor**.Item2)); /* Clear the discovered factors cache, and keep looking. */ factors.Clear(); } while (isComposite); sw.Stop(); Console.WriteLine(isComposite + " " + sw.Elapsed); } static IEnumerable<BigInteger> Range(BigInteger squareOfTarget) { BigInteger two = BigInteger.Parse("2"); BigInteger element = BigInteger.Parse("3"); while (element * element < squareOfTarget) { yield return element; element = BigInteger.Add(element, two); } } static bool CheckAndStoreFactor(BigInteger candidate, BigInteger factor) { BigInteger remainder, dividend = candidate; int exponent = 0; do { dividend = BigInteger.DivRem(dividend,**factor**, out remainder); if (remainder.IsZero) { exponent++; } } while (remainder.IsZero); if (exponent > 0) { lock (factors) { factors.Add(Tuple.Create(factor, exponent)); } } return exponent > 0; } } Here's the exception thrown: Unhandled Exception: System.AggregateException: One or more errors occurred. --- > System.OverflowException: Arithmetic operation resulted in an overflow. at System.Linq.Parallel.PartitionedDataSource`1.ContiguousChunkLazyEnumerator.MoveNext(T& currentElement, Int32& currentKey) at System.Linq.Parallel.AnyAllSearchOperator`1.AnyAllSearchOperatorEnumerator`1.MoveNext(Boolean& currentElement, Int32& currentKey) at System.Linq.Parallel.StopAndGoSpoolingTask`2.SpoolingWork() at System.Linq.Parallel.SpoolingTaskBase.Work() at System.Linq.Parallel.QueryTask.BaseWork(Object unused) at System.Linq.Parallel.QueryTask.<.cctor>b__0(Object o) at System.Threading.Tasks.Task.InnerInvoke() at System.Threading.Tasks.Task.Execute() --- End of inner exception stack trace --- at System.Linq.Parallel.QueryTaskGroupState.QueryEnd(Boolean userInitiatedDispose) at System.Linq.Parallel.SpoolingTask.SpoolStopAndGo[TInputOutput,TIgnoreKey](QueryTaskGroupState groupState, PartitionedStream`2 partitions, SynchronousChannel`1[] channels, TaskScheduler taskScheduler) at System.Linq.Parallel.DefaultMergeHelper`2.System.Linq.Parallel.IMergeHelper<TInputOutput>.Execute() at System.Linq.Parallel.MergeExecutor`1.Execute[TKey](PartitionedStream`2 partitions, Boolean ignoreOutput, ParallelMergeOptions options, TaskScheduler taskScheduler, Boolean isOrdered, CancellationState cancellationState, Int32 queryId) at System.Linq.Parallel.PartitionedStreamMerger`1.Receive[TKey](PartitionedStream`2 partitionedStream) at System.Linq.Parallel.AnyAllSearchOperator`1.WrapPartitionedStream[TKey](PartitionedStream`2 inputStream, IPartitionedStreamRecipient`1 recipient, BooleanpreferStriping, QuerySettings settings) at System.Linq.Parallel.UnaryQueryOperator`2.UnaryQueryOperatorResults.ChildResultsRecipient.Receive[TKey](PartitionedStream`2 inputStream) at System.Linq.Parallel.ScanQueryOperator`1.ScanEnumerableQueryOperatorResults.GivePartitionedStream(IPartitionedStreamRecipient`1 recipient) at System.Linq.Parallel.UnaryQueryOperator`2.UnaryQueryOperatorResults.GivePartitionedStream(IPartitionedStreamRecipient`1 recipient) at System.Linq.Parallel.QueryOperator`1.GetOpenedEnumerator(Nullable`1 mergeOptions, Boolean suppressOrder, Boolean forEffect, QuerySettings querySettings) at System.Linq.Parallel.QueryOpeningEnumerator`1.OpenQuery() at System.Linq.Parallel.QueryOpeningEnumerator`1.MoveNext() at System.Linq.Parallel.AnyAllSearchOperator`1.Aggregate() at System.Linq.ParallelEnumerable.Any[TSource](ParallelQuery`1 source, Func`2 predicate) at PFact.Program.Main(String[] args) in d:\myprojects\PFact\PFact\Program.cs:line 34 Any help would be appreciated. Thanks!