wPrime 2.0	Source: WPrime

wPrime uses a recursive call of Newton's method for estimating functions, with f(x)=x²-k, where k is the number we're sqrting, until Sgn(f(x)/f'(x)) does not equal that of the previous iteration, starting with an estimation of k/2. It then uses an iterative calling of the estimation method a set amount of times to increase the accuracy of the results. It then confirms that n(k)²=k to ensure the calculation was correct. It repeats this for all numbers from 1 to the requested maximum.

Lower calculation times are better. wPrime is multi-threaded.

wPrime 2.0 - Windows Vista 32 Million Digits (1 thread): (sec) Ranking Intel Core i7 920 51.156 Intel Core i5 750 48.408 Intel Core 2 Duo E8500 50.466 Intel Core 2 Duo E8400 53.64 AMD Phenom II X4 965 Black Edition (140W) 42.808 AMD Phenom II X4 955 Black Edition 45.115 AMD Phenom II X3 720 Black Edition (DDR2) 52.354 AMD Phenom II X3 720 Black Edition (DDR3) 51.901 AMD Phenom II X2 550 Black Edition 48.173 AMD Athlon II X4 620 55.083 AMD Athlon II X3 435 49.669 AMD Athlon II X2 250 49.827 AMD Athlon II X2 240e 53.367 32 Million Digits (2 thread): (sec) Ranking Intel Core i7 920 25.828 Intel Core i5 750 24.273 Intel Core 2 Duo E8500 25.49 Intel Core 2 Duo E8400 27.078 AMD Phenom II X4 965 Black Edition (140W) 21.656 AMD Phenom II X4 955 Black Edition 22.682 AMD Phenom II X3 720 Black Edition (DDR2) 26.537 AMD Phenom II X3 720 Black Edition (DDR3) 26.256 AMD Phenom II X2 550 Black Edition 24.242 AMD Athlon II X4 620 27.722 AMD Athlon II X3 435 25.287 AMD Athlon II X2 250 25.007 AMD Athlon II X2 240e 27.019 32 Million Digits (3 thread): (sec) Ranking Intel Core i7 920 23.297 Intel Core i5 750 16.255 AMD Phenom II X4 965 Black Edition (140W) 15.211 AMD Phenom II X4 955 Black Edition 15.46 AMD Phenom II X3 720 Black Edition (DDR2) 18.219 AMD Phenom II X3 720 Black Edition (DDR3) 17.936 AMD Athlon II X4 620 18.846 AMD Athlon II X3 435 17.58 32 Million Digits (all thread): (sec) Ranking Intel Core i7 920 9.547 Intel Core i5 750 12.262 Intel Core 2 Duo E8500 25.49 Intel Core 2 Duo E8400 27.078 AMD Phenom II X4 965 Black Edition (140W) 11.639 AMD Phenom II X4 955 Black Edition 11.84 AMD Phenom II X3 720 Black Edition (DDR2) 18.219 AMD Phenom II X3 720 Black Edition (DDR3) 17.936 AMD Phenom II X2 550 Black Edition 24.242 AMD Athlon II X4 620 14.585 AMD Athlon II X3 435 17.58 AMD Athlon II X2 250 25.007 AMD Athlon II X2 240e 27.019

While the Athlon II X3 435 was hurting in the previous single-threaded benchmarks, here it can finally put all three of its cores to work. The results are easy victories over all of the dual-core processors on the test bench, the Athlon II X3 435 even manages to edge out AMD's other triple core processor, the Phenom II X3 720 Black Edition.

wPrime 2.0 - Windows 7 32 Million Digits (1 thread): (sec) Ranking Intel Core i7 920 50.672 Intel Core i5 750 48.844 Intel Core 2 Duo E8400 53.93 AMD Phenom II X4 965 Black Edition (140W) 44.025 AMD Athlon II X4 620 54.509 AMD Athlon II X3 435 50.607 AMD Athlon II X2 240e 51.636 32 Million Digits (2 thread): (sec) Ranking Intel Core i7 920 25.531 Intel Core i5 750 24.571 Intel Core 2 Duo E8400 27.05 AMD Phenom II X4 965 Black Edition (140W) 21.964 AMD Athlon II X4 620 28.546 AMD Athlon II X3 435 25.163 AMD Athlon II X2 240e 26.707 32 Million Digits (3 thread): (sec) Ranking Intel Core i7 920 16.984 Intel Core i5 750 16.629 AMD Phenom II X4 965 Black Edition (140W) 14.801 AMD Athlon II X4 620 18.813 AMD Athlon II X3 435 17.487 32 Million Digits (all thread): (sec) Ranking Intel Core i7 920 9.766 Intel Core i5 750 12.698 Intel Core 2 Duo E8400 27.05 AMD Phenom II X4 965 Black Edition (140W) 11.375 AMD Athlon II X4 620 14.743 AMD Athlon II X3 435 17.487 AMD Athlon II X2 240e 26.707

Windows 7 benchmarks look much the same as Windows Vista, with only a tenth of a second improvement in the time it takes to caculate prime numbers to 32 million digits.