This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An...This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An overview of both conjectures and their respective iterative processes will be presented. Showcasing their unique properties and behavior to each other. Through a detailed comparison, we highlight the similarities and differences between these two conjectures and discuss their significance in the field of mathematics. And how they prove each other to be true.展开更多
以丙二腈为原料,采用4个连续反应,得到3-氨基-4-氨基肟基呋咱(Ⅰ),经Sandmeyer反应生成3-氨基-4-酰氯肟基呋咱(Ⅱ),再与3-氯-4-氟苯胺反应得到吲哚胺2,3-双加氧酶抑制剂4-氨基-N-(3-氯-4-氟苯基)-N'-羟基-1,2,5-口恶二唑-3-甲脒(INC...以丙二腈为原料,采用4个连续反应,得到3-氨基-4-氨基肟基呋咱(Ⅰ),经Sandmeyer反应生成3-氨基-4-酰氯肟基呋咱(Ⅱ),再与3-氯-4-氟苯胺反应得到吲哚胺2,3-双加氧酶抑制剂4-氨基-N-(3-氯-4-氟苯基)-N'-羟基-1,2,5-口恶二唑-3-甲脒(INCB024360)。Ⅱ的工艺优化路线:在0℃下,加入化合物Ⅰ2.0 g,浓盐酸6.5 m L,Na NO20.96 g,Cu Cl 2.87 g,水8 m L,反应时间5 h;INCB024360的工艺优化路线:25℃下,加入反应物Ⅱ1.0 g,3-氯-4-氟苯胺1.58 g,三乙胺0.17 m L,无水乙醇25 m L,反应时间5 h。总产率从10.0%提高到43.1%,HPLC纯度为99.6%,其结构经1HMOL/LR,13CMOL/LR,MS表征。展开更多
文摘This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An overview of both conjectures and their respective iterative processes will be presented. Showcasing their unique properties and behavior to each other. Through a detailed comparison, we highlight the similarities and differences between these two conjectures and discuss their significance in the field of mathematics. And how they prove each other to be true.
文摘以丙二腈为原料,采用4个连续反应,得到3-氨基-4-氨基肟基呋咱(Ⅰ),经Sandmeyer反应生成3-氨基-4-酰氯肟基呋咱(Ⅱ),再与3-氯-4-氟苯胺反应得到吲哚胺2,3-双加氧酶抑制剂4-氨基-N-(3-氯-4-氟苯基)-N'-羟基-1,2,5-口恶二唑-3-甲脒(INCB024360)。Ⅱ的工艺优化路线:在0℃下,加入化合物Ⅰ2.0 g,浓盐酸6.5 m L,Na NO20.96 g,Cu Cl 2.87 g,水8 m L,反应时间5 h;INCB024360的工艺优化路线:25℃下,加入反应物Ⅱ1.0 g,3-氯-4-氟苯胺1.58 g,三乙胺0.17 m L,无水乙醇25 m L,反应时间5 h。总产率从10.0%提高到43.1%,HPLC纯度为99.6%,其结构经1HMOL/LR,13CMOL/LR,MS表征。