Additional logging added.
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@@ -360,79 +360,81 @@ public class MersenneDivisorCycles
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return true;
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return true;
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}
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}
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private static bool TryFactorIntoCountsInternal(ulong value, Dictionary<ulong, int> counts)
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// private static ulong _tryFactorIntoCountsInternalHits;
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{
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// private static ulong _tryCalculateCycleLengthHeuristicHits;
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// The EvenPerfectBitScanner only requests factors for values >= 2 here. Leave the guard documented without executing it.
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// if (value <= 1UL)
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// {
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// return true;
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// }
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ulong remaining = value;
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private static bool TryFactorIntoCountsInternal(ulong value, Dictionary<ulong, int> counts)
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uint[] smallPrimes = PrimesGenerator.SmallPrimes;
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{
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ulong[] smallPrimesSquared = PrimesGenerator.SmallPrimesPow2;
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// The EvenPerfectBitScanner only requests factors for values >= 2 here. Leave the guard documented without executing it.
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int smallLength = smallPrimes.Length;
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// if (value <= 1UL)
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// {
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// return true;
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// }
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for (int i = 0; i < smallLength; i++)
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ulong remaining = value;
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{
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uint[] smallPrimes = PrimesGenerator.SmallPrimes;
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ulong prime = smallPrimes[i];
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ulong[] smallPrimesSquared = PrimesGenerator.SmallPrimesPow2;
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if (smallPrimesSquared[i] > remaining)
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int smallLength = smallPrimes.Length;
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{
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break;
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}
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// TODO: Reuse the remainder-tracking update from the cycle heuristic so repeated divisions disappear from this loop.
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for (int i = 0; i < smallLength; i++)
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while ((remaining % prime) == 0UL)
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{
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{
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ulong prime = smallPrimes[i];
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AddFactor(counts, prime);
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if (smallPrimesSquared[i] > remaining)
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remaining /= prime;
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{
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}
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break;
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}
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}
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if (remaining == 1UL)
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// TODO: Reuse the remainder-tracking update from the cycle heuristic so repeated divisions disappear from this loop.
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{
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while ((remaining % prime) == 0UL)
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return true;
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{
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}
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AddFactor(counts, prime);
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remaining /= prime;
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}
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}
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// TODO: Benchmark PrimeTester.IsPrimeCpu against Open.Numeric.Primes on the EvenPerfectBitScanner workloads to confirm the faster option for wide composites.
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// TODO: Benchmark PrimeTester.IsPrimeInternal against Open.Numeric.Primes on the EvenPerfectBitScanner workloads to confirm the faster option for wide composites.
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// if (HeuristicPrimeTester.Exclusive.IsPrimeCpu(remaining, CancellationToken.None))
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// if (HeuristicPrimeTester.Exclusive.IsPrime(remaining, CancellationToken.None))
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if (PrimeTester.IsPrimeCpu(remaining, CancellationToken.None))
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{
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AddFactor(counts, remaining);
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return true;
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}
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// TODO: Evaluate folding the remainder-tracking mechanism into PollardRho64 so the walk leverages previously computed residues.
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// Atomic.Add(ref _tryFactorIntoCountsInternalHits, 1UL);
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ulong factor = PollardRho64(remaining);
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// Console.WriteLine($"MersenneDivisorCycles.TryFactorIntoCountsInternal hits {Volatile.Read(ref _tryFactorIntoCountsInternalHits)}");
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if (factor == 0UL || factor == remaining)
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{
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// Pollard-Rho can still stall on rare stubborn composites during test and benchmark runs, so keep the failure guard in place
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// and let the caller fall back to the cached cycle calculator.
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return false;
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}
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// TODO: Investigate computing this quotient via remainder tracking or reciprocal multiplication to avoid the division.
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if (PrimeTester.IsPrimeCpu(remaining, CancellationToken.None))
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ulong quotient = remaining / factor;
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{
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// Pollard-Rho never returns factors <= 1 on the EvenPerfectBitScanner path; keep the old guard documented
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AddFactor(counts, remaining);
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// for completeness without branching in the hot path.
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return true;
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// if (factor > 1UL && !TryFactorIntoCountsInternal(factor, counts))
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}
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// {
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// return false;
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// }
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if (!TryFactorIntoCountsInternal(factor, counts))
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// TODO: Evaluate folding the remainder-tracking mechanism into PollardRho64 so the walk leverages previously computed residues.
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{
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ulong factor = PollardRho64(remaining);
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return false;
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if (factor == 0UL || factor == remaining)
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}
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{
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// Pollard-Rho can still stall on rare stubborn composites during test and benchmark runs, so keep the failure guard in place
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// and let the caller fall back to the cached cycle calculator.
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return false;
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}
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// Guard the recursive calls to terminate once Pollard-Rho reduces either branch to 1.
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// TODO: Investigate computing this quotient via remainder tracking or reciprocal multiplication to avoid the division.
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if (quotient > 1UL && !TryFactorIntoCountsInternal(quotient, counts))
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ulong quotient = remaining / factor;
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{
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// Pollard-Rho never returns factors <= 1 on the EvenPerfectBitScanner path; keep the old guard documented
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return false;
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// for completeness without branching in the hot path.
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}
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// if (factor > 1UL && !TryFactorIntoCountsInternal(factor, counts))
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// {
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// return false;
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// }
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return true;
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if (!TryFactorIntoCountsInternal(factor, counts))
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}
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{
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return false;
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}
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// Guard the recursive calls to terminate once Pollard-Rho reduces either branch to 1.
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if (quotient > 1UL && !TryFactorIntoCountsInternal(quotient, counts))
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{
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return false;
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}
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return true;
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}
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private static void AddFactor(Dictionary<ulong, int> counts, ulong factor)
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private static void AddFactor(Dictionary<ulong, int> counts, ulong factor)
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{
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{
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@@ -928,6 +930,12 @@ public class MersenneDivisorCycles
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return true;
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return true;
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}
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}
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// if (!skipPrimeOrderHeuristic)
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// {
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// Atomic.Add(ref _tryCalculateCycleLengthHeuristicHits, 1UL);
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// Console.WriteLine($"MersenneDivisorCycles.CalculateCycleLengthFallback hits {Volatile.Read(ref _tryCalculateCycleLengthHeuristicHits)}");
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// }
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// if (!skipPrimeOrderHeuristic && HeuristicPrimeTester.Exclusive.IsPrimeCpu(divisor, CancellationToken.None))
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// if (!skipPrimeOrderHeuristic && HeuristicPrimeTester.Exclusive.IsPrimeCpu(divisor, CancellationToken.None))
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if (!skipPrimeOrderHeuristic && PrimeTester.IsPrimeCpu(divisor, CancellationToken.None))
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if (!skipPrimeOrderHeuristic && PrimeTester.IsPrimeCpu(divisor, CancellationToken.None))
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{
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{
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@@ -2,11 +2,15 @@ using System.Collections.Concurrent;
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using System.Runtime.CompilerServices;
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using System.Runtime.CompilerServices;
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using System.Numerics;
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using System.Numerics;
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using UInt128 = System.UInt128;
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using UInt128 = System.UInt128;
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using ILGPU;
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namespace PerfectNumbers.Core;
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namespace PerfectNumbers.Core;
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public static class MersennePrimeFactorTester
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public static class MersennePrimeFactorTester
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{
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{
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// private static ulong _isPrimeFactorHits;
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// private static ulong _factor64Hits;
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public static bool IsPrimeFactor(ulong p, ulong q, CancellationToken ct)
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public static bool IsPrimeFactor(ulong p, ulong q, CancellationToken ct)
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{
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{
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@@ -25,7 +29,11 @@ public static class MersennePrimeFactorTester
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return false;
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return false;
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}
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}
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// if (!HeuristicPrimeTester.Exclusive.IsPrimeCpu(q, ct))
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// if (!HeuristicPrimeTester.Exclusive.IsPrime(q, ct))
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// Atomic.Add(ref _isPrimeFactorHits, 1UL);
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// Console.WriteLine($"MersennePrimeFactorTester.IsPrimeFactor hits {Volatile.Read(ref _isPrimeFactorHits)}");
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if (!PrimeTester.IsPrimeCpu(q, ct))
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if (!PrimeTester.IsPrimeCpu(q, ct))
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{
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{
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return false;
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return false;
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@@ -234,7 +242,11 @@ public static class MersennePrimeFactorTester
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continue;
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continue;
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}
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}
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// if (HeuristicPrimeTester.Exclusive.IsPrimeCpu(m, ct))
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// Atomic.Add(ref _factor64Hits, 1UL);
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// Console.WriteLine($"MersennePrimeFactorTester.Factor64 hits {Volatile.Read(ref _factor64Hits)}");
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// if (HeuristicPrimeTester.Exclusive.IsPrime(m, ct))
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if (PrimeTester.IsPrimeCpu(m, ct))
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if (PrimeTester.IsPrimeCpu(m, ct))
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{
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{
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dict[m] = 1;
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dict[m] = 1;
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@@ -4,6 +4,7 @@ using System.Diagnostics;
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using System.Numerics;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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using System.Runtime.CompilerServices;
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using System.Runtime.InteropServices;
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using System.Runtime.InteropServices;
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using ILGPU;
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using PerfectNumbers.Core.Gpu;
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using PerfectNumbers.Core.Gpu;
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namespace PerfectNumbers.Core;
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namespace PerfectNumbers.Core;
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@@ -1019,6 +1020,10 @@ internal static partial class PrimeOrderCalculator
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return exponent.Pow2MontgomeryModWindowedCpu(divisorData, keepMontgomery: false) == 1UL;
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return exponent.Pow2MontgomeryModWindowedCpu(divisorData, keepMontgomery: false) == 1UL;
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}
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}
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// private static ulong _partialFactorHits;
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// private static ulong _partialFactorPendingHits;
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// private static ulong _partialFactorCofactorHits;
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private static PartialFactorResult PartialFactor(ulong value, in PrimeOrderSearchConfig config)
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private static PartialFactorResult PartialFactor(ulong value, in PrimeOrderSearchConfig config)
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{
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{
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if (value <= 1UL)
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if (value <= 1UL)
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@@ -1070,7 +1075,7 @@ internal static partial class PrimeOrderCalculator
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// if (!gpuPopulated)
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// if (!gpuPopulated)
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// {
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// {
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// throw new InvalidOperationException($"GPU didn't populate factors for {value}");
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// throw new InvalidOperationException($"GPU didn't populate factors for {value}");
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// counts.Clear();
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// counts.Clear();
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remaining = PopulateSmallPrimeFactorsCpu(value, limit, counts);
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remaining = PopulateSmallPrimeFactorsCpu(value, limit, counts);
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// }
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// }
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@@ -1123,8 +1128,12 @@ internal static partial class PrimeOrderCalculator
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// }
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// }
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(composite);
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(composite);
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// bool isPrime = PrimeTester.IsPrimeCpu(composite, CancellationToken.None);
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// bool isPrime = PrimeTester.IsPrimeInternal(composite, CancellationToken.None);
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bool isPrime = PrimeTester.IsPrimeCpu(composite, CancellationToken.None);
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// Atomic.Add(ref _partialFactorHits, 1UL);
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// Console.WriteLine($"Partial factor hits {Volatile.Read(ref _partialFactorHits)}");
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bool isPrime = PrimeTester.IsPrimeGpu(composite);
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// bool isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(composite);
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// bool isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(composite);
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if (isPrime)
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if (isPrime)
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@@ -1186,10 +1195,14 @@ internal static partial class PrimeOrderCalculator
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if (!entry.HasKnownPrimality)
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if (!entry.HasKnownPrimality)
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{
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{
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(composite);
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(composite);
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// bool isPrime = PrimeTester.IsPrimeCpu(composite, CancellationToken.None);
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// bool isPrime = PrimeTester.IsPrimeInternal(composite, CancellationToken.None);
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bool isPrime = PrimeTester.IsPrimeCpu(composite, CancellationToken.None);
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// Atomic.Add(ref _partialFactorPendingHits, 1UL);
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// Console.WriteLine($"Partial factor pending hits {Volatile.Read(ref _partialFactorPendingHits)}");
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bool isPrime = PrimeTester.IsPrimeGpu(composite);
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// bool isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(composite);
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// bool isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(composite);
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entry = entry.WithPrimality(isPrime);
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entry = entry.WithPrimality(isPrime);
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pending[index] = entry;
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pending[index] = entry;
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}
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}
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@@ -1219,7 +1232,11 @@ internal static partial class PrimeOrderCalculator
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else
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else
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{
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{
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// cofactorIsPrime = primeTester.HeuristicIsPrimeGpu(cofactor);
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// cofactorIsPrime = primeTester.HeuristicIsPrimeGpu(cofactor);
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// cofactorIsPrime = PrimeTester.IsPrimeCpu(cofactor, CancellationToken.None);
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// cofactorIsPrime = PrimeTester.IsPrimeInternal(cofactor, CancellationToken.None);
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// Atomic.Add(ref _partialFactorCofactorHits, 1UL);
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// Console.WriteLine($"Partial factor cofactor hits {Volatile.Read(ref _partialFactorCofactorHits)}");
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cofactorIsPrime = PrimeTester.IsPrimeCpu(cofactor, CancellationToken.None);
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cofactorIsPrime = PrimeTester.IsPrimeCpu(cofactor, CancellationToken.None);
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// cofactorIsPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(cofactor);
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// cofactorIsPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(cofactor);
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}
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}
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@@ -1741,6 +1758,9 @@ internal static partial class PrimeOrderCalculator
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{
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{
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FactorCompletely(value, counts, knownComposite: false);
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FactorCompletely(value, counts, knownComposite: false);
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}
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}
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// private static ulong _factorCompletelyHits;
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// private static ulong _factorCompletelyPollardRhoHits;
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private static void FactorCompletely(ulong value, Dictionary<ulong, int> counts, bool knownComposite)
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private static void FactorCompletely(ulong value, Dictionary<ulong, int> counts, bool knownComposite)
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{
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{
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@@ -1749,7 +1769,9 @@ internal static partial class PrimeOrderCalculator
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return;
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return;
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}
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}
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PrimeTester primeTester = PrimeTester.Exclusive;
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// Atomic.Add(ref _factorCompletelyHits, 1UL);
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// Console.WriteLine($"Factor completely hits {Volatile.Read(ref _factorCompletelyHits)}");
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// PrimeTester primeTester = PrimeTester.Exclusive;
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(value);
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// bool isPrime = primeTester.HeuristicIsPrimeGpu(value);
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// bool isPrime = PrimeTester.IsPrimeCpu(value, CancellationToken.None);
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// bool isPrime = PrimeTester.IsPrimeCpu(value, CancellationToken.None);
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@@ -1764,6 +1786,9 @@ internal static partial class PrimeOrderCalculator
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ulong factor = PollardRhoStrict(value);
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ulong factor = PollardRhoStrict(value);
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ulong quotient = value / factor;
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ulong quotient = value / factor;
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// Atomic.Add(ref _factorCompletelyPollardRhoHits, 1UL);
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// Console.WriteLine($"Factor completely after PollardRho hits {Volatile.Read(ref _factorCompletelyPollardRhoHits)}");
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// isPrime = primeTester.HeuristicIsPrimeGpu(factor);
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// isPrime = primeTester.HeuristicIsPrimeGpu(factor);
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// isPrime = PrimeTester.IsPrimeCpu(factor, CancellationToken.None);
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// isPrime = PrimeTester.IsPrimeCpu(factor, CancellationToken.None);
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isPrime = PrimeTester.IsPrimeCpu(factor, CancellationToken.None);
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isPrime = PrimeTester.IsPrimeCpu(factor, CancellationToken.None);
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@@ -1797,7 +1822,11 @@ internal static partial class PrimeOrderCalculator
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else
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else
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{
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{
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// isPrime = primeTester.HeuristicIsPrimeGpu(quotient);
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// isPrime = primeTester.HeuristicIsPrimeGpu(quotient);
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// isPrime = PrimeTester.IsPrimeCpu(quotient, CancellationToken.None);
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// isPrime = PrimeTester.IsPrimeInternal(quotient, CancellationToken.None);
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// Atomic.Add(ref _partialFactorCofactorHits, 1UL);
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// Console.WriteLine($"Partial factor cofactor hits {Volatile.Read(ref _partialFactorCofactorHits)}");
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isPrime = PrimeTester.IsPrimeCpu(quotient, CancellationToken.None);
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isPrime = PrimeTester.IsPrimeCpu(quotient, CancellationToken.None);
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// isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(quotient);
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// isPrime = Open.Numeric.Primes.Prime.Numbers.IsPrime(quotient);
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}
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}
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