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发表于 2017-11-25 12:23
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看看我的计算式的计算实例的精度如何?(以相对误差值Δ 表示。精度=1+Δ 。)
用Sp( m *)=Sp( m )/(1+μ) 来计算40-60亿的偶数的素对数量,这里的μ=0.1462 。
G(5900000000) = 11470516,Sp( 5900000000 *) = 11479335.3908 Δ= 0.00076888
G(5900000002) = 9227115,Sp( 5900000002 *) = 9230249.3064 Δ= 0.00033968
G(5900000004) = 18566408 ,Sp( 5900000004 *) = 18581155.4727 Δ= 0.00079431
G(5900000006) = 8454126 ,Sp( 5900000006 *) = 8461412.4422 Δ= 0.00086188
G(4100000000) = 8314407, Sp( 4100000000 *) = 8309815.05633 Δ=-0.00055229
G(4100000002) = 7303258, Sp( 4100000002 *) = 7300744.39967 Δ=-0.00034418
G(4100000004) = 12159598, Sp( 4100000004 *) = 12153104.53173 Δ=-0.00053402
G(4100000006) = 6473805, Sp( 4100000006 *) = 6471622.23058 Δ=-0.00033717
G(4999999990) = 9718144, Sp( 4999999990 *)≈ 9717640.4 , Δ≈-0.0000518,
G(4999999992) = 16679776,Sp( 4999999992 *)≈ 16676056.8 , Δ≈-0.000223,
G(4999999994) = 8085922, Sp( 4999999994 *)≈ 8086297.4 , Δ≈ 0.0000464,
G(4999999996) = 7276621, Sp( 4999999996 *)≈ 7279319.1 , Δ≈ 0.000371,
G(4999999998) = 17473138,Sp( 4999999998 *)≈ 17474093.8 , Δ≈ 0.0000547,
G(5000000000) = 9703556, Sp( 5000000000 *)≈ 9703556.9 , Δ≈ 0,
G(5000000002) = 7278155, Sp( 5000000002 *)≈ 7277667.7 , Δ≈ -0.0000670 ,
G(5000000004) = 14695026,Sp( 5000000004 *)≈ 14693957.6 , Δ≈-0.0000727 ,
G(5000000006) = 7281567, Sp( 5000000006 *)≈ 7279143.6 , Δ≈-0.0003328,
G(5000000008) = 7308988, Sp( 5000000008 *)≈ 7308118.2 , Δ≈-0.000119 ,
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