There is a tradition, in the name of the GR"A, that each of the 10 parshiot of Sefer Devarim hint at what will occur during each century of the 6th millenium (wherein Nitzavim and VaYeilech are counted as 1 parshah). As such, we are in the century of Nitzavim/VaYeilech, which contains the most explicit reference to the Geulah Shleimah that is found in the Torah, at the beginning of chapter 30.
If I recall correctly, this is what was mentioned to me:
Verses 5692 and 5693 of the Torah are Devarim 29:18-19:
The year 5693 saw the rise of Hitler, may his name be blotted out. Unfortunately there were those of our brethren that would not heed the warnings of what was to come. Such horrible things cannot possible happen in the center of modern civilization.Devarim 29:18 And it will be when he hears the words of this curse, he will bless himself in his heart to say "I will have peace, for in the haughtiness of my heart, I will go, that the watered will be swept away with the dry".Devarim 29:19 Hashem will not desire to forgive him, for then the anger and zealousness of Hashem will burn on that person, and the entire curse written in this book will lie on him, and Hashem will erase his name from under the heavens.
The year 5702 saw the beginning of the Final Solution. That aligns with Devarim 29:28
Devarim 29:28 The hidden things belong to Hashem, but the revealed things are for us and our children, forever, to do all the words of this Torah.
The verses immediately following this speak of the Geulah Shleimah: Teshuvah and Kibbutz Galuyot.
The year 5727, which brought the Six Day War, shows a similar theme. The year 5727 corresponds to verse 5 of chapter 31.
Devarim 31:3 Hashem your G-d is the One that passes before you. He will destroy these nations from before you and you shall inherit them. Yehoshua will go before you, as Hashem spoke.Devarim 31:4 And Hashem will do to them like He did to Sichon and Og the Emorite kings, and to their land, like He destroyed them.
Devarim 31:5 And Hashem will give them before you, and you shall do to them like the whole commandment which I have commanded you.
Parshat Ha'azinu is largely rebuke, and it really starts slightly before the beginning of the song itself in chapter 32. We see that the the words of rebuke start in 31:27, which is verse number 5749, right before the end of the "last generation" mentioned in Kol HaTor.
For 5772 we have 32:20:
Devarim 32:20 And He said: I will hide my face from them, and I will see what will be their end, for a backwards generation are they, children with no faithfulness in them.
And indeed from verse 5772 things appear difficult until at least 5790.
For 5782 is 32:30
Devarim 32:30 For how could one chase a thousand, and two cause a myriad to flee, if their Rock had not sold them, and Hashem turned them over.
This seems to hint at a difficult war.
And for 5783 is 32:31
Devarim 32:31 For not like our Rock is their rock, and even our enemies are judges (of this).
When Edom falls, they will realize their deity is not the G-d of Israel.
The last verse of Ha'azinu is verse 5795, which is the end of the year that the Klipah of the Right will fall, as I have written.