The rulers of the Dynasty 13 to 17 are the contemporaries of each other most but one very significant event occurred so far. Hyksos rulers appeared at the end of the 17th dynasty and ruled for 94 years.
The Hyksos rulers were invaders from Canaan who arrested Egypt. The most important cultural contribution is horse domestication. It is a horse and its use in the battle that might be responsible for the increase in their power in Egypt.
Pharaoh Ahmose, the first king of the 18th dynasty pushed the ruler of Hyksos and brought control of Egypt back to the native of Egypt. Dynasty 19 and 20 introduced us to the Ramesses Kings I-XI. These kings are the Kings of Hebrew slavery in Egypt. You can buy a bible timeline poster via https://amazingbibletimeline.com/.
Image Source: Google
There were two events in the Old Testament that functions as an anchor point for part of this Egyptian timeline, Joseph's death and the Hebrew exodus from Egypt. Let's look at the exodus first. The conventional chronology shows that Ramesses II is Pharaoh from the Hebrew exodus.
I believe the Hebrew exodus must occur after Ramesses II due to the presence of the Philistines in Hebrew history. If the exodus occurs during the reign of Ramesses II, Ramesses III forces will not be strong enough to drive away sea people (groups that are believed by historians including Philistines).
Why? All Pharaoh's exodus troops were drowned in the Red Sea (Exodus 14: 15-18): "And God told Moses, therefore, you spoke to the children of Israel, so that they advanced forward: But remove your stick, and spread your hands on the sea, and divide it: and the children of Israel will go to the dry ground in the middle of the sea.