A redux in the honor of the 24th day of Elul, which is tomorrow. The 29 redux starts with equation
16! + (64*29)^2 = (64*71471)^2
This is such an awesomely awesome equation. There are, probably, no such equations for higher numbers. Remember that there are 64 cycles of 29 years. However, the above equation can be rewritten:
16! + (64*29)^2 = (64*(71500-29))^2 = (64*71500)^2 + (64*29)^2 - 2*29*71500*64^2
Hence,
16! + 128^2*29*35750 = (128*35750)^2
Multiplying the whole equation with (29/35.75)*α the left-hand side becomes
16!*(29/35.75)*α + 128^2*29^2*א
where א is 1000 times α.
The multiplication with 29/35.75 is known by the GR"A. His eight cycles of 35.75 years are culminating in the first year of Ayil Meshulash, 5786. Likewise, there are eight cycles of 29 years, culminating in the final year of Ayil Meshulash, 5796. The eight cycles started in 5564, after the death of the GR"A. Until four cycles, i.e., until 5680, is the time of Old Yishuv. Then, from 5680 until two cycles before the end, year 5738, is the time of the New Yishuv. Then, from 5738 until one cycle before the end, year 5767, is the time of withdrawals. Then, from 5767 until half a cycle before the end is the period of international commotion about the Yishuv of Eretz Yisrael. It will culminate in the final war.
Regarding the second term of the last formula
128^2*29^2*א
or
(128*29)^2*א
we see 128 cycles of 29 years back in time, to the time of Avraham Avinu. But in addition we see here the age of the Universe in years, with א is 1000. However, the value is an experimental issue. From the left we have that א is 1001,6 whereas from the right א is 998,5. From the center, א is a thousand exactly, resulting in an age of 13.779 billion years.
We can discern 13 ages, all involving the number 29:
The age of the Universe: 29^2*2^14 kiloyears.
The age of the earliest life: 29^2*2^12 kiloyears.
The age of homo (humans): 29^2*2 kiloyears.
The age of homo sapiens: 29*2^14 years.
The age of homo sapiens sapiens: 29*2^12 years.
The age/death of Avraham/Sarah: 29*2^7 years before 5796.
The death of Rashbi: 29*2^6 years before 5796.
The death of Arizal: 29*2^4 years before 5796.
The start of the old Yishuv: 29*2^3 years before 5796.
The start of the new Yishuv: 29*2^2 years before 5796.
The period of withdrawals: 29*2 years before 5796.
The period of international commotion: 29 years before 5796.
The final war and the Geula: 29/2 years before 5796.
Sh'nat 5775 Tovah!
