猜想:
最小素因子不超过 p_m 的合数链长度最大值是:D_max ≤ 2 p_(m+1)
.
两个实例
实例1: p_m = 37,D_max = 66
最小素因子不超过37的合数链长度为D_max = 66 = p_m + p_(m-2) = 37 + 29
187219155 599,187219155 601,187219155 607,187219155 611,187219155 613
187219155 617,187219155 619,187219155 623,187219155 629,187219155 631
187219155 637,187219155 641,187219155 643,187219155 647,187219155 649
187219155 653
.
参照基准值 Z_o = 1872 19155 600
- (1_7), Z_o + (1_23, 7_11, 11_19, 13_7, 17_13, 19_17,
23_37, 29_11, 31_31, 37_29, 41_7, 43_13, 47_23, 49_19, 53_17)
符号意义:43_13 表示 13 | (Z_o + 43)
.
敬请电算大师验证,或者给出反例。
最小素因子不超过 p_m 的合数链长度最大值是:D_max ≤ 2 p_(m+1)
.
两个实例
实例1: p_m = 37,D_max = 66
最小素因子不超过37的合数链长度为D_max = 66 = p_m + p_(m-2) = 37 + 29
187219155 599,187219155 601,187219155 607,187219155 611,187219155 613
187219155 617,187219155 619,187219155 623,187219155 629,187219155 631
187219155 637,187219155 641,187219155 643,187219155 647,187219155 649
187219155 653
.
参照基准值 Z_o = 1872 19155 600
- (1_7), Z_o + (1_23, 7_11, 11_19, 13_7, 17_13, 19_17,
23_37, 29_11, 31_31, 37_29, 41_7, 43_13, 47_23, 49_19, 53_17)
符号意义:43_13 表示 13 | (Z_o + 43)
.
敬请电算大师验证,或者给出反例。