Cosmic Numbers

Regarding Ayil Meshulash, it also consists of three parts, the 420 part, the 288 part, and the 464 (16*29) part:

10! + 15² = (15*127)²
14! + 420² = (420*703)²

11! + 18² = (18*351)²
13! + 288² = (288*274)²

15! + (16*29)² = (16*71471)²
16! + (64*29)² = (64*71471)²

Here the first part starts in 5366, the second part in 5501, and the years are 5786, 5789, and 5796, which stands separate, see below. We have seen lately how the equations 10! + 15² = (15*127)² and 13! + 288² = (288*274)² are connected to the P_E prophecy, to 127, to 137, and to 144 years.

The cosmic numbers 29 and 35750 led to the approach that history can be understood as but a (Shabbat) day, and to a "new" formalization and understanding of the count instituted by the GR"A, namely t(n) = 5500 + 35.750*n, with t(8)=5786.

The special number 704 plays roles that justify calling it a cosmic number. Firstly, it is the gematria of נר תמיד, the last two words of the first Pasuk of Parashat Tetzaveh, and the last two words of Vayikra 24:2, which strengthens כ"ת in that Pasuk as equaling 420, as explained before. Secondly, we can rewrite the "middle value" of the age of the Universe as

26²*29*704K years,

in terms of the number 26, the gematria of the name of HaShem, and the cosmic number 29, and the cosmic number 704.

But perhaps 352 is a cosmic number because it is a special number, because it is one half of 704, and because the age of the Universe can be said to be

26²*29*352 times 2000 years,

where 2000 years, Alpayim Shanah, is the time of our Galut, a remembrance of Din? It is another view on the same Universe, but 704 is the true cosmic number.

On Cosmic and Special Numbers

We can write the first four equations of Ayil Meshulash as follows:

10! + 15² = (15*(128-1))²
14! + 420² = (420*(704-1))²
11! + 18² = (18*(352-1))²
13! + 288² = (288*(275-1))²

and rewrite them as:

10! + 2*15²*128 = (15*128)²
14! + 2*420²*704 = (420*704)²
11! + 2*18²*352 = (18*352)²
13! + 2*288²*275 = (288*275)²

This is similar to the rewriting of the fifth equation:

15! + (16*29)² = (16*71471)², which is
15! + (16*29)² = (16*(71500-29))², which is
15! + 2*16²*29*71500 = (16*71500)², which is
15! + 2⁹*29*71500 = (16*71500)²

or:
15!/2¹⁰ + 29*35750 = 35750²

or:
15!*2^-10 + 29*35750 = 35750²

or:
16!*2^-14 + 29*35750 = 35750²

or, perhaps, allowing halves:
16!*2^-16 + 14.5*17875 = 17875²

Just like this led us conclude that 35750 (17875) is a cosmic number, the number 29 (14.5) is a cosmic number, and 128, 275, 352, and 704, are special numbers as well. We note that 352 = 704/2 and that 5501 + 275 is the current year, 5776.

As a Mountain Ridge

The heights of biblical prophecy are like the hills of Yehudah and Shomron. As between the depth of the Jordan valley and the Shephelah, the heights of prophecy are between the astounding deceit of rabbinical orthodoxy and the equally astounding Cana'anite emptiness. Stronger still, the following is true. Both orthodoxy and secular culture are needed for true prophecy to express itself, as a mountain ridge between two valleys.

In The Mean Time

In the mean time, it is raining at some places, but other places are dry. In Nigeria, Brazil, Ukraine, Russia, Greece, Portugal, Egypt, Lebanon, Syria, for instance, "the weather" is very dry. Even in places like Saudi Arabia, Canada, and China, three big economic powers, "the weather" is turning dry.

"In the first year, it will be as is written: I made it rain in one city, and I will send no rain on another city." (Sanhedrin 97a; Amos 4:7)

This Is The Time

What does it mean that Yishmael has expired?

Firstly, the hills of Yehudah and Shomron are waiting to be covered with Jews. This is the time to build and/or to buy a house in Yehudah and Shomron. While the world is busy with the "funeral" proceedings of "Yishmael." It will take time. This is the time for Yishuvim to invite every Jew, just like Petach Tikva, founded by Talmidei HaGra, became open to all Jews.

Secondly, rabbinical orthodoxy is badly limping. It has just lost a leg - Yishmael has expired. From now on, there is only Esav to contend with.

The Matter of 144 Years

The matter of 144 years is hidden in the Torah. It has two heads, Esav and Yoseph, or, Amalek and Moshiach Ben Yoseph. There is a war, from generation to generation, against the powers of Tum'ah. The war is until Moshiach Ben David joins it, until 5789, but really until 5786. After that, 144 years are finished until 5852, under Moshiach Ben David and Moshiach Ben Yoseph together. Two heads joined together, in the hands of Hashem, joining together with Him who is the Truth. That is the Geula of the Truth.

Petach Tikva

And conversely, 137-144 years after 5501, saw the establishment of many Yishuvim, financed by de Rothschild. Petach Tikva was foremost and shows the rule. It was the beginning, of the new Yishuv.

It was in the year 5638 that Petach Tikva was first estabished, as was Gei Oni (Rosh Pinna) in the North. Both were established by people from the old Yishuv. I wonder if they acted upon understanding that the time of Yishmael was over. If so, right they were, though it was not manifest.

B'Ezrat Hashem

According to the prophecy of P_E, two times the age of Yishmael, 137, and two times the age of Esav and Yosef, 144, are against the numbers 274 and 288. The age of Sarah, 127, applies straight, without multiplication by two. We can learn from one, and apply it to the other. Two times 127 after 5366 is year 5620, a year of high potential, the gematria of Keter is 620. The potential was used in a "different" way, as was the potential of 5493. The "secular" Aliyah was enabled. Like Sarah, like Avraham: 175 years after 5366 was year 5541, again a year of great potential. It is 13 hours into the sixth day, 6.5 hours according to some. And again, the potential was used, in a different way. Two times 175 years after 5366 was the physical beginning in reality, of the Ruach, B'Ezrat Hashem. Lastly, the 351 years of Moshiach is two times 175.5.

Yishmael's Death

It started out as the Arab Spring. Who could have foreseen that it would happen? It is hard to say when it actually occurred: sometime during 5774-5775. The prophecy of P_E allows a span of two years. But now, in 5776, we can safely say that Yishmael has expired, at the advanced age of 137.

עַל-פְּנֵי כָל-אֶחָיו ,נָפָל

Enjoy

As we are approaching the end of the book Bereshit, please find here a version of Bereshit with sources revealed. It has the J source as bold, the E source as italic, the P_E source as common letters. Also Bereshit 14, taken from an source other than E, J, or P_E, is written with common letters. Editorial additions are underlined. Enjoy!

The Prophecy of PE

Esav and Yoseph have no number assigned by P_E. Therefore, we treat both in the same way, in the following diagram:

Esav 144, Yoseph 144

\ /

9 * 4²

|

Sarah 127, Yishmael 137

The two ages of 144, correspond to the two eschatological 144 periods, 5708 + 144 = 5501 + 351, where 11! + 18² = (18*351)², and one half of 288. The age of Yishmael, 137, is one half of 274; both one-halves are according to 13! + 288² = (288*274)².
The age of Sarah, 127, is the period from 5366 until 5493, according to 10! + 15² = (15*127)².
The ages of Avraham, Yitzchak, and Ya'akov, are 175, 180, 147, a mathematical series that leads to 144.

This is the prophecy of P_E.

הוּא יִקְרָא בִשְׁמִי, וַאֲנִי אֶעֱנֶה אֹתוֹ

{Zecharyah 13:9)

The Structure of PE

Four things to notice about P_E.

Firstly, the text P_E identifies the place of Yisrael as the land of Rameses, and not as the land of Goshen. The phrase כַּאֲשֶׁר, צִוָּה פַרְעֹה was possibly added to obfuscate the fact.

Secondly, the text has an alternative tradition about Ma'arat HaMachpelah, according to which only Avraham and Sarah are buried there.

Thirdly, the large abundance of numbers. The message is through them.

Fourthly, note how every person mentioned by name, is introduced: Sarah, his wife; Yitzchak and Yishmael, his sons; Esav and Ya'akov, his sons; and Ya'akov, his (i.e., Yoseph's) father.

The Text of PE

Here is the combined text of P_E:

וַיִּהְיוּ חַיֵּי שָׂרָה, מֵאָה שָׁנָה וְעֶשְׂרִים שָׁנָה וְשֶׁבַע שָׁנִים--שְׁנֵי, חַיֵּי שָׂרָה. וְאֵלֶּה, יְמֵי שְׁנֵי-חַיֵּי אַבְרָהָם--אֲשֶׁר-חָי: מְאַת שָׁנָה וְשִׁבְעִים שָׁנָה, וְחָמֵשׁ שָׁנִים, וַיִּגְוַע. וַיִּקְבְּרוּ אֹתוֹ יִצְחָק וְיִשְׁמָעֵאל, בָּנָיו, אֶל-מְעָרַת, הַמַּכְפֵּלָה: אֶל-שְׂדֵה עֶפְרֹן בֶּן-צֹחַר, הַחִתִּי, אֲשֶׁר, עַל-פְּנֵי מַמְרֵא. הַשָּׂדֶה אֲשֶׁר-קָנָה אַבְרָהָם, מֵאֵת בְּנֵי-חֵת--שָׁמָּה קֻבַּר אַבְרָהָם, וְשָׂרָה אִשְׁתּוֹ. וַיָּקָם הַשָּׂדֶה וְהַמְּעָרָה אֲשֶׁר-בּוֹ, לְאַבְרָהָם--לַאֲחֻזַּת-קָבֶר: מֵאֵת, בְּנֵי-חֵת

וְאֵלֶּה, שְׁנֵי חַיֵּי יִשְׁמָעֵאל--מְאַת שָׁנָה וּשְׁלֹשִׁים שָׁנָה, וְשֶׁבַע שָׁנִים; וַיִּגְוַע. וַיִּהְיוּ, יְמֵי יִצְחָק--מְאַת שָׁנָה, וּשְׁמֹנִים שָׁנָה, וַיִּגְוַע ; וַיִּקְבְּרוּ אֹתוֹ, עֵשָׂו וְיַעֲקֹב בָּנָיו

וַיָּבֵא יוֹסֵף אֶת-יַעֲקֹב אָבִיו, וַיַּעֲמִדֵהוּ לִפְנֵי פַרְעֹה; וַיְבָרֶךְ יַעֲקֹב, אֶת-פַּרְעֹה. וַיֹּאמֶר פַּרְעֹה, אֶל-יַעֲקֹב: כַּמָּה, יְמֵי שְׁנֵי חַיֶּיךָ. וַיֹּאמֶר יַעֲקֹב, אֶל-פַּרְעֹה, יְמֵי שְׁנֵי מְגוּרַי, שְׁלֹשִׁים וּמְאַת שָׁנָה: מְעַט וְרָעִים, הָיוּ יְמֵי שְׁנֵי חַיַּי, וְלֹא הִשִּׂיגוּ אֶת-יְמֵי שְׁנֵי חַיֵּי אֲבֹתַי, בִּימֵי מְגוּרֵיהֶם. וַיְבָרֶךְ יַעֲקֹב, אֶת-פַּרְעֹה; וַיֵּצֵא, מִלִּפְנֵי פַרְעֹה. וַיּוֹשֵׁב יוֹסֵף, אֶת-אָבִיו וְאֶת-אֶחָיו, וַיִּתֵּן לָהֶם אֲחֻזָּה בְּאֶרֶץ מִצְרַיִם, בְּמֵיטַב הָאָרֶץ בְּאֶרֶץ רַעְמְסֵס. וַיְכַלְכֵּל יוֹסֵף אֶת-אָבִיו וְאֶת-אֶחָיו, וְאֵת כָּל-בֵּית אָבִיו--לֶחֶם, לְפִי הַטָּף. וַיִּפְרוּ וַיִּרְבּוּ מְאֹד. כח וַיְחִי יַעֲקֹב בְּאֶרֶץ מִצְרַיִם, שְׁבַע עֶשְׂרֵה שָׁנָה; וַיְהִי יְמֵי-יַעֲקֹב, שְׁנֵי חַיָּיו--שֶׁבַע שָׁנִים, וְאַרְבָּעִים וּמְאַת שָׁנָה וַיִּגְוַע

And here is the translation in English:

And Sarah's life was a hundred years and twenty years and seven years: the years of Sarah's life. And these are the days of the years of Avraham's life that he lived: a hundred years and seventy years and five years, and he expired. And Yitzchak and Yishmael, his sons, buried him at the cave of Machpelah at the field of Ephron, son of Zohar, the Hittite, facing Mamre, the field that Avraham had bought from the children of Heth. Avraham was buried there -- and Sarah, his wife. And the field and the cave that was in it were established for Avraham as a posession for a tomb from the children of Heth.

And these are the years of Yishmael's life: a hundred years and thirty years and seventy years, and he expired. And Yitzchak's days were a hundred years and eighty years, and he expired. And Esav and Ya'akov, his sons, buried him.

And Yoseph brought Ya'akov, his father, and stood him in front of Par'oh. And Ya'akov blessed Par'oh. And Par'oh said to Ya'akov, "How many are the days of the years of your life?" And Ya'akov said to Par'oh, "The days of the years of my residences are a hundred thirty years. The days of the years of my life have been few and bad, and they haven't attained the days of the years of my father's lives, in the days of their residences." And Ya'akov blessed Par'oh and went out from in front of Par'oh. And Yoseph settled his father and his brothers and gave them a possession in the land of Mitzraim, in the best of the land, in the land of Rameses. And Yoseph supported his father and his brothers and all of his father's household, bread by the number of infants. And they were fruitful and multiplied very much. And Ya'akov lived in the land of Mitzraim seventeen years. And Ya'akov's days, the years of his life, were seven years and a hundred forty years, and he expired.

The Structure of P; Part Two

In the same fashion, we separate the following fragment of P_E

וַיִּהְיוּ, יְמֵי יִצְחָק--מְאַת שָׁנָה, וּשְׁמֹנִים שָׁנָה, וַיִּגְוַע ; וַיִּקְבְּרוּ אֹתוֹ, עֵשָׂו וְיַעֲקֹב בָּנָיו

וַיָּבֵא יוֹסֵף אֶת-יַעֲקֹב אָבִיו, וַיַּעֲמִדֵהוּ לִפְנֵי פַרְעֹה; וַיְבָרֶךְ יַעֲקֹב, אֶת-פַּרְעֹה. וַיֹּאמֶר פַּרְעֹה, אֶל-יַעֲקֹב: כַּמָּה, יְמֵי שְׁנֵי חַיֶּיךָ. וַיֹּאמֶר יַעֲקֹב, אֶל-פַּרְעֹה, יְמֵי שְׁנֵי מְגוּרַי, שְׁלֹשִׁים וּמְאַת שָׁנָה: מְעַט וְרָעִים, הָיוּ יְמֵי שְׁנֵי חַיַּי, וְלֹא הִשִּׂיגוּ אֶת-יְמֵי שְׁנֵי חַיֵּי אֲבֹתַי, בִּימֵי מְגוּרֵיהֶם. וַיְבָרֶךְ יַעֲקֹב, אֶת-פַּרְעֹה; וַיֵּצֵא, מִלִּפְנֵי פַרְעֹה. וַיּוֹשֵׁב יוֹסֵף, אֶת-אָבִיו וְאֶת-אֶחָיו, וַיִּתֵּן לָהֶם אֲחֻזָּה בְּאֶרֶץ מִצְרַיִם, בְּמֵיטַב הָאָרֶץ בְּאֶרֶץ רַעְמְסֵס. וַיְכַלְכֵּל יוֹסֵף אֶת-אָבִיו וְאֶת-אֶחָיו, וְאֵת כָּל-בֵּית אָבִיו--לֶחֶם, לְפִי הַטָּף. וַיִּפְרוּ וַיִּרְבּוּ מְאֹד. כח וַיְחִי יַעֲקֹב בְּאֶרֶץ מִצְרַיִם, שְׁבַע עֶשְׂרֵה שָׁנָה; וַיְהִי יְמֵי-יַעֲקֹב, שְׁנֵי חַיָּיו--שֶׁבַע שָׁנִים, וְאַרְבָּעִים וּמְאַת שָׁנָה וַיִּגְוַע

from this part of P:

וַיִּהְיוּ בְנֵי-יַעֲקֹב, שְׁנֵים עָשָׂר. בְּנֵי לֵאָה, בְּכוֹר יַעֲקֹב רְאוּבֵן; וְשִׁמְעוֹן וְלֵוִי וִיהוּדָה, וְיִשָּׂשכָר וּזְבֻלוּן. בְּנֵי רָחֵל, יוֹסֵף וּבִנְיָמִן. וּבְנֵי בִלְהָה שִׁפְחַת רָחֵל, דָּן וְנַפְתָּלִי. וּבְנֵי זִלְפָּה שִׁפְחַת לֵאָה, גָּד וְאָשֵׁר; אֵלֶּה בְּנֵי יַעֲקֹב, אֲשֶׁר יֻלַּד-לוֹ בְּפַדַּן אֲרָם. וַיָּבֹא יַעֲקֹב אֶל-יִצְחָק אָבִיו, מַמְרֵא קִרְיַת הָאַרְבַּע--הִוא חֶבְרוֹן, אֲשֶׁר-גָּר-שָׁם אַבְרָהָם וְיִצְחָק. יִצְחָק וַיָּמָת וַיֵּאָסֶף אֶל-עַמָּיו, זָקֵן וּשְׂבַע יָמִים

וַיֹּאמֶר יַעֲקֹב אֶל-יוֹסֵף, אֵל שַׁדַּי נִרְאָה-אֵלַי בְּלוּז בְּאֶרֶץ כְּנָעַן; וַיְבָרֶךְ, אֹתִי. וַיֹּאמֶר אֵלַי, הִנְנִי מַפְרְךָ וְהִרְבִּיתִךָ, וּנְתַתִּיךָ, לִקְהַל עַמִּים; וְנָתַתִּי אֶת-הָאָרֶץ הַזֹּאת, לְזַרְעֲךָ אַחֲרֶיךָ--אֲחֻזַּת עוֹלָם. וְעַתָּה שְׁנֵי-בָנֶיךָ הַנּוֹלָדִים לְךָ בְּאֶרֶץ מִצְרַיִם, עַד-בֹּאִי אֵלֶיךָ מִצְרַיְמָה--לִי-הֵם: אֶפְרַיִם, וּמְנַשֶּׁה--כִּרְאוּבֵן וְשִׁמְעוֹן, יִהְיוּ-לִי. וּמוֹלַדְתְּךָ אֲשֶׁר-הוֹלַדְתָּ אַחֲרֵיהֶם, לְךָ יִהְיוּ; עַל שֵׁם אֲחֵיהֶם יִקָּרְאוּ, בְּנַחֲלָתָם. וַאֲנִי בְּבֹאִי מִפַּדָּן, מֵתָה עָלַי רָחֵל בְּאֶרֶץ כְּנַעַן בַּדֶּרֶךְ, בְּעוֹד כִּבְרַת-אֶרֶץ, לָבֹא אֶפְרָתָה; וָאֶקְבְּרֶהָ שָּׁם בְּדֶרֶךְ אֶפְרָת, הִוא בֵּית לָחֶם

...

וְיוֹסֵף, בֶּן-שְׁלֹשִׁים שָׁנָה, בְּעָמְדוֹ, לִפְנֵי פַּרְעֹה מֶלֶךְ-מִצְרָיִם. וַיִּקְחוּ אֶת-מִקְנֵיהֶם ... יַעֲקֹב הַבָּאָה מִצְרַיְמָה, שִׁבְעִים

וַיֹּאמֶר פַּרְעֹה, אֶל-יוֹסֵף לֵאמֹר: אָבִיךָ וְאַחֶיךָ, בָּאוּ אֵלֶיךָ. אֶרֶץ מִצְרַיִם, לְפָנֶיךָ הִוא--בְּמֵיטַב הָאָרֶץ, הוֹשֵׁב אֶת-אָבִיךָ וְאֶת-אַחֶיךָ: יֵשְׁבוּ, בְּאֶרֶץ גֹּשֶׁן--וְאִם-יָדַעְתָּ וְיֶשׁ-בָּם אַנְשֵׁי-חַיִל, וְשַׂמְתָּם שָׂרֵי מִקְנֶה עַל-אֲשֶׁר-לִי

וַיְצַו אוֹתָם, וַיֹּאמֶר אֲלֵהֶם אֲנִי נֶאֱסָף אֶל-עַמִּי--קִבְרוּ אֹתִי, אֶל-אֲבֹתָי: אֶל-הַמְּעָרָה--אֲשֶׁר בִּשְׂדֵה, עֶפְרוֹן הַחִתִּי. בַּמְּעָרָה אֲשֶׁר בִּשְׂדֵה הַמַּכְפֵּלָה, אֲשֶׁר עַל-פְּנֵי-מַמְרֵא--בְּאֶרֶץ כְּנָעַן: אֲשֶׁר קָנָה אַבְרָהָם אֶת-הַשָּׂדֶה, מֵאֵת עֶפְרֹן הַחִתִּי--לַאֲחֻזַּת-קָבֶר. שָׁמָּה קָבְרוּ אֶת-אַבְרָהָם, וְאֵת שָׂרָה אִשְׁתּוֹ, שָׁמָּה קָבְרוּ אֶת-יִצְחָק, וְאֵת רִבְקָה אִשְׁתּוֹ; וְשָׁמָּה קָבַרְתִּי, אֶת-לֵאָה. מִקְנֵה הַשָּׂדֶה וְהַמְּעָרָה אֲשֶׁר-בּוֹ, מֵאֵת בְּנֵי-חֵת. וַיְכַל יַעֲקֹב לְצַוּ‍ֹת אֶת-בָּנָיו, וַיֶּאֱסֹף רַגְלָיו אֶל-הַמִּטָּה; וַיֵּאָסֶף אֶל-עַמָּיו. וַיַּעֲשׂוּ בָנָיו, לוֹ--כֵּן, כַּאֲשֶׁר צִוָּם. וַיִּשְׂאוּ אֹתוֹ בָנָיו, אַרְצָה כְּנַעַן, וַיִּקְבְּרוּ אֹתוֹ, בִּמְעָרַת שְׂדֵה הַמַּכְפֵּלָה: אֲשֶׁר קָנָה אַבְרָהָם אֶת-הַשָּׂדֶה לַאֲחֻזַּת-קֶבֶר, מֵאֵת עֶפְרֹן הַחִתִּי--עַל-פְּנֵי מַמְרֵא

Here the phrase כַּאֲשֶׁר, צִוָּה פַרְעֹה was deleted, after רַעְמְסֵס in P_E. It presumably was added by the editor that made P and P_E into what we know as P.

The Structure of P; Part One

On the surface, P has an awful expression of death. In Bereshit 25:8, Bereshit 25:17, and Bereshit 35:29, it says that "he expired, he died, ... and he was gathered to his people," three expressions of death in one sentence. This is a sign of composition, of the source P_E with the source P. Here follows, in bold, the first part of the source P_E:

וַיִּהְיוּ חַיֵּי שָׂרָה, מֵאָה שָׁנָה וְעֶשְׂרִים שָׁנָה וְשֶׁבַע שָׁנִים--שְׁנֵי, חַיֵּי שָׂרָה. וְאֵלֶּה, יְמֵי שְׁנֵי-חַיֵּי אַבְרָהָם--אֲשֶׁר-חָי: מְאַת שָׁנָה וְשִׁבְעִים שָׁנָה, וְחָמֵשׁ שָׁנִים, וַיִּגְוַע. וַיִּקְבְּרוּ אֹתוֹ יִצְחָק וְיִשְׁמָעֵאל, בָּנָיו, אֶל-מְעָרַת, הַמַּכְפֵּלָה: אֶל-שְׂדֵה עֶפְרֹן בֶּן-צֹחַר, הַחִתִּי, אֲשֶׁר, עַל-פְּנֵי מַמְרֵא. הַשָּׂדֶה אֲשֶׁר-קָנָה אַבְרָהָם, מֵאֵת בְּנֵי-חֵת--שָׁמָּה קֻבַּר אַבְרָהָם, וְשָׂרָה אִשְׁתּוֹ. וַיָּקָם הַשָּׂדֶה וְהַמְּעָרָה אֲשֶׁר-בּוֹ, לְאַבְרָהָם--לַאֲחֻזַּת-קָבֶר: מֵאֵת, בְּנֵי-חֵת

וְאֵלֶּה, שְׁנֵי חַיֵּי יִשְׁמָעֵאל--מְאַת שָׁנָה וּשְׁלֹשִׁים שָׁנָה, וְשֶׁבַע שָׁנִים; וַיִּגְוַע

This was merged with the following segment of P:

וַתָּמָת שָׂרָה, בְּקִרְיַת אַרְבַּע הִוא חֶבְרוֹן--בְּאֶרֶץ כְּנָעַן; וַיָּבֹא, אַבְרָהָם, לִסְפֹּד לְשָׂרָה, וְלִבְכֹּתָהּ. וַיָּקָם, אַבְרָהָם, מֵעַל, פְּנֵי מֵתוֹ; וַיְדַבֵּר אֶל-בְּנֵי-חֵת, לֵאמֹר. גֵּר-וְתוֹשָׁב אָנֹכִי, עִמָּכֶם; תְּנוּ לִי אֲחֻזַּת-קֶבֶר עִמָּכֶם, וְאֶקְבְּרָה מֵתִי מִלְּפָנָי. וַיַּעֲנוּ בְנֵי-שְׁמָעֵנִי, אֶרֶץ אַרְבַּע מֵאֹת שֶׁקֶל-כֶּסֶף בֵּינִי וּבֵינְךָ מַה-הִוא; וְאֶת-מֵתְךָ, קְבֹר. וַיִּשְׁמַע אַבְרָהָם, אֶל-עֶפְרוֹן, וַיִּשְׁקֹל אַבְרָהָם לְעֶפְרֹן, אֶת-הַכֶּסֶף אֲשֶׁר דִּבֶּר בְּאָזְנֵי בְנֵי-חֵת--אַרְבַּע מֵאוֹת שֶׁקֶל כֶּסֶף, עֹבֵר לַסֹּחֵר. וַיָּקָם שְׂדֵה עֶפְרוֹן, אֲשֶׁר בַּמַּכְפֵּלָה, אֲשֶׁר, לִפְנֵי מַמְרֵא: הַשָּׂדֶה, וְהַמְּעָרָה אֲשֶׁר-בּוֹ, וְכָל-הָעֵץ אֲשֶׁר בַּשָּׂדֶה, אֲשֶׁר בְּכָל-גְּבֻלוֹ סָבִיב. לְאַבְרָהָם לְמִקְנָה, לְעֵינֵי בְנֵי-חֵת, חֵת אֶת-אַבְרָהָם, לֵאמֹר לוֹ. שְׁמָעֵנוּ אֲדֹנִי, נְשִׂיא אֱלֹהִים אַתָּה בְּתוֹכֵנוּ--בְּמִבְחַר קְבָרֵינוּ, קְבֹר אֶת-מֵתֶךָ; אִישׁ מִמֶּנּוּ, אֶת-קִבְרוֹ לֹא-יִכְלֶה מִמְּךָ מִקְּבֹר מֵתֶךָ. וַיָּקָם אַבְרָהָם וַיִּשְׁתַּחוּ לְעַם-הָאָרֶץ, לִבְנֵי-חֵת. וַיְדַבֵּר אִתָּם, לֵאמֹר: אִם-יֵשׁ אֶת-נַפְשְׁכֶם, לִקְבֹּר אֶת-מֵתִי מִלְּפָנַי--שְׁמָעוּנִי, וּפִגְעוּ-לִי בְּעֶפְרוֹן בֶּן-צֹחַר. וְיִתֶּן-לִי, אֶת-מְעָרַת הַמַּכְפֵּלָה אֲשֶׁר-לוֹ, אֲשֶׁר, בִּקְצֵה שָׂדֵהוּ: בְּכֶסֶף מָלֵא יִתְּנֶנָּה לִּי, בְּתוֹכְכֶם--לַאֲחֻזַּת-קָבֶר. וְעֶפְרוֹן יֹשֵׁב, בְּתוֹךְ בְּנֵי-חֵת; וַיַּעַן עֶפְרוֹן הַחִתִּי אֶת-אַבְרָהָם בְּאָזְנֵי בְנֵי-חֵת, לְכֹל בָּאֵי שַׁעַר-עִירוֹ לֵאמֹר. לֹא-אֲדֹנִי שְׁמָעֵנִי--הַשָּׂדֶה נָתַתִּי לָךְ, וְהַמְּעָרָה אֲשֶׁר-בּוֹ לְךָ נְתַתִּיהָ; לְעֵינֵי בְנֵי-עַמִּי נְתַתִּיהָ לָּךְ, קְבֹר מֵתֶךָ. וַיִּשְׁתַּחוּ, אַבְרָהָם, לִפְנֵי, עַם הָאָרֶץ. וַיְדַבֵּר אֶל-עֶפְרוֹן בְּאָזְנֵי עַם-הָאָרֶץ, לֵאמֹר, אַךְ אִם-אַתָּה לוּ, שְׁמָעֵנִי: נָתַתִּי כֶּסֶף הַשָּׂדֶה, קַח מִמֶּנִּי, וְאֶקְבְּרָה אֶת-מֵתִי, שָׁמָּה. וַיַּעַן עֶפְרוֹן אֶת-אַבְרָהָם, לֵאמֹר לוֹ. אֲדֹנִי בְּכֹל, בָּאֵי שַׁעַר-עִירוֹ. וְאַחֲרֵי-כֵן קָבַר אַבְרָהָם אֶת-שָׂרָה אִשְׁתּוֹ, אֶל-מְעָרַת שְׂדֵה הַמַּכְפֵּלָה עַל-פְּנֵי מַמְרֵא--הִוא חֶבְרוֹן: בְּאֶרֶץ, כְּנָעַן

וַיָּמָת אַבְרָהָם בְּשֵׂיבָה טוֹבָה, זָקֵן וְשָׂבֵעַ; וַיֵּאָסֶף, אֶל-עַמָּיו. וַיְהִי, אַחֲרֵי מוֹת אַבְרָהָם, וַיְבָרֶךְ אֱלֹהִים, אֶת-יִצְחָק בְּנוֹ

וְאֵלֶּה, שְׁמוֹת בְּנֵי יִשְׁמָעֵאל, בִּשְׁמֹתָם, לְתוֹלְדֹתָם: בְּכֹר יִשְׁמָעֵאל נְבָיֹת, וְקֵדָר וְאַדְבְּאֵל וּמִבְשָׂם. וּמִשְׁמָע וְדוּמָה, וּמַשָּׂא. חֲדַד וְתֵימָא, יְטוּר נָפִישׁ וָקֵדְמָה. אֵלֶּה הֵם בְּנֵי יִשְׁמָעֵאל, וְאֵלֶּה שְׁמֹתָם, בְּחַצְרֵיהֶם, וּבְטִירֹתָם--שְׁנֵים-עָשָׂר נְשִׂיאִם, לְאֻמֹּתָם. וַיָּמָת, וַיֵּאָסֶף אֶל-עַמָּיו

...

Note how both P_E and P are independent texts, stories, which have only gained by the separation. P has lost nothing and regained an inclusio, חֶבְרוֹן: בְּאֶרֶץ, כְּנָעַן around the death of Sarah, and the expressions of death are more normal. P_E has its own structure, which will become clear after part two, the next post.

Esav's Age

In addition to the number 9*4² (144) and the age of Sarah, 127 years, we have the numbers in

13! + 288² = (288*274)²

where 274 is twice the age of Yishmael, and 288 is twice the number 144. Again the number 144, in addition to 5708 + 144 = 5501 + 27*13. There is one age that is not reported by P, the age of Esav. It should be clear, the age of Esav is 144.

Note that the above equation is mathematical, technological, in nature, and the same is true for the number 127. No way, that the numbers 127, 137, and 144 were known to special in the days of P. Hence it is prophecy. But if one would still want to deny that it is a prophecy, we will now address a truly remarkable structure of P, a structure that should settle the case.

Coincidence or Prophecy

The number 9*4² is not the only eschatological number. The age reported for Sarah, 127 years, is another one. Can this be a coincidence? Or, is there prophecy in P, formulated using a mathematical series, hidden in the ages of the Avot, and of Sarah? Time for an investigation!

The Missing Age

The ages reached by Abraham, Yitzchak, and Yaakov, according to P, follow a neat mathematical series:

175 = 7 * 5², 180 = 5 * 6², and 147 = 3 * 7².

It is a very remarkable fact. Was there a mathematician among the authors of P? What did he want to encode?

One age is notably missing, in the Torah of P, and that is the age 144 = 9 * 4². Could it be that 9 * 4² is an eschatological number instead? Note that 5708 + 9 * 4² = 5501 + 27*13.

Men of Truth

Chiddush follows Chiddush. Perhaps it is now possible to say the following.

In the beginning, G-d created, using the Midah of Din. He created the monkeys, the old-world monkeys and the new-world monkeys. He created them in 9²*10*11*13*29*2¹² years. Then created HaShem the apes, using the Midah of Chesed, all kinds of apes. He created them in 29²*2¹⁴ kiloyears. Finally, HaShem G-d finished creation, in Truth, with Rachamim. He created man, man and woman, all kinds of man. He created them in 13²*16²*29*11K years.

The monkeys among man, Yishmael, the wild asses of men, uncivilised men, are making war with the apes among man, with Esav, with the blood-ruddy, the hairy ones. The men of Din against the men of Chesed, as it were. It has to be. Out of this will come the men of Truth, the giants, who will take the place of the apes and monkeys among man.

The Middle Value

In this post, I argued that the real value for the age of the Universe would have to be the middle value.

And, in denotation, 29²*2¹⁴ kiloyears is the middle of 9²*10*11*13*29*2¹² years, and 13²*16²*29*11K years.

But, regarding the intension of the expression, 13²*16²*29*11K can be seen as the golden middle of 29²*2¹⁴ kiloyears and 9²*10*11*13*29*2¹² years; the middle between a short, square, value, and a long, not so square, value.

I did not see this before, but intensionally, the "middle value" is equal to 13²*16²*29*11K years.

Three Estimates Revisited

We saw earlier three estimates for the age of the Universe. They can be written as:

- Estimate one: 9²*10*11*13*29*2¹² years, which is 13,758,750,720 years.
- Estimate two: 11*13²*29*256*1000 years, which is 11*13²*29*256 kiloyears, which is 13,801,216 kiloyears.
- Estimate three: 29²*2¹⁴ kiloyears, which is 13,778,944 kiloyears.

The experimental value of the age of the Universe was updated on September 24, 2015. The first estimate now seems to be ruled out by the narrowing value, currently 13.799 ± 0.021 billion years. The third estimate has theoretical advantages, and it is still possible, but it is the second estimate, best written as 13²*16²*29*11K years, where the experimental value likely seems to go.

It is exhilarating. It is frightening.

The Eschatological Calendar

The eschatological calendar is an eternal calendar, which starts in the year 1329 and changes generation every 480 years, just like the previous one. From the year of adoption, until shortly after the year 6000, the two calendars coincide. The period of 480 years, and the year 1329, are explained here and here.

The complete Java program is here. The lines

double m0 = T - (5. + n)* K + L + 14.;

and

a = (12 * year + 12 + n)% 19;

and

this(year, ((year - 1329) / 480));

have been changed. The Qeviyot of the eschatological calendar can be found here, from the year 1329 until the year 7200. During this range of 6000 years, the calendar is quite accurate with respect to the Equinox.

The Sanhedrin Of Truth

What kind of Sanhedrin am I talking about? About the Sanhedrin of Truth. About the Sanhedrin that is so in love with HaShem, so in love with the Truth, so Chayav to the Truth, that they cannot possibly keep ignoring the voice of Eliyahu, the truth in the academic approach to Torah. They will find the way to do Teshuva, to before the time of D and P. Teshuva out of love. Out of love of the Truth. Out of love of HaShem. This is the Sanhedrin that I address.

My Guess

I imagine that the calendar based on round numbers will be attractive to Sanhedrin. For one, it keeps the Psak of the gemara in Rosh Hashanah 21, according to which the latest date the Spring Equinox is Nissan 16. Second, it is an eternal calendar, which goes to generation five in the year 6000, 3600+5*480. This is easy to remember.

The Qeviyot of this calendar can be found here, until the year 6500. The complete Java program is here.

Take Us Out

The historical task of the Sanhedrin is to bring back the Judaism of the early prophets, of Yeshayahu, of Hoshea. Currently, the Datiyim imagine a return to the Judaism of the end of Bayit Sheni, and the Chilonim imagine nothing of this kind. Very few imagine a return to the Judaism of Bayit Rishon. But politically, we have already returned to the time of Bayit Rishon. Only religiously, we are still in the Galut. It is the task of Sanhedrin to take us out. If they grab the task, how good. But if not, salvation will come from a different place.

עורי כימי קדם

(Yeshayahu 51:9)

Eternal Calendar Based On Round Numbers

I suggest a fourth possibility for Sanhedrin to consider: an eternal calendar based on round numbers; (year - 3600) / 480. Here is the complete program. Output for the years 5790 + n*19, up till 6200:

5790: 49-03
5809: 48-03
5828: 48-03
5847: 48-03
5866: 51-03
5885: 50-03
5904: 49-03
5923: 50-03
5942: 49-03
5961: 50-03
5980: 49-03
5999: 51-03
6018: 20-03
6037: 20-03
6056: 21-03
6075: 21-03
6094: 22-03
6113: 21-03
6132: 21-03
6151: 21-03
6170: 21-03
6189: 20-03

Here 49-03 is 18-04, et cetera. Note how this does not "allow" the dates 18-03 and 19-03. Here are the first two cycles after 5782:

5782: 47-03
5783: 37-03
5784: 26-03
5785: 44-03
5786: 33-03
5787: 23-03
5788: 42-03
5789: 31-03
5790: 49-03
5791: 39-03
5792: 27-03
5793: 45-03
5794: 35-03
5795: 24-03
5796: 43-03
5797: 31-03
5798: 20-03
5799: 40-03
5800: 29-03
5801: 47-03
5802: 36-03
5803: 26-03
5804: 43-03
5805: 33-03
5806: 22-03
5807: 42-03
5808: 29-03
5809: 48-03
5810: 38-03
5811: 28-03
5812: 45-03
5813: 34-03
5814: 24-03
5815: 44-03
5816: 32-03
5817: 20-03
5818: 40-03
5819: 29-03

Acknowledgements

Thanks are due to Carl Friedrich Gauss for coming up, in 1802, with the extremely brilliant orinigal formula, or algorithm, and to Zvi Har'El for his brilliant elucidation of the algorithm, and for giving programs, in C, and in Java. I propose to have the (generational variant of the) Java code as a part of the Halachic standard (with the required minimal substitutions, specified by the Sanhedrin). The third person to be thanked is James A. Shneer, who wrote the wonderful book The Jewish Calendar and the Torah: Introduction - 2nd Edition. I am sure the book was created with the Gauss algorithm, probably with one of the programs of Zvi Har'El. A change in Halacha would be welcomed by Shneer, I guess, as an opportunity to make a special edition of his book.

Eternal Calendar

We can construct an "eternal" calendar program, which is based on the assumption that the calendar started in 3409, and changes generation every 476 years. The program goes, automatically, to generation 5 in our days. Here is the complete program, which regenerates the output of this post. The "eternal" calendar behaves fine, as you can verify yourself, from year 4000 to year 8000.

Generational Gauss Class

We can define a generational Gauss class by changing three lines of this Java code. We add a generational parameter n to the class constructor. That is we replace the line

public Gauss(int year, boolean g)

by the line

public Gauss(int year, boolean g, int n)

We replace the line

private static final double m0 = T - 10. * K + L + 14.;

by the line

double m0 = T - (10. + n)* K + L + 14.;

and move it down to below the constructor. Lastly, we change the line

a = (12 * year + 17) % 19;

into

a = (12 * year + 17 + n)% 19;

Then generational Gauss objects.with the third parameter 0 are "equal" to the original objects. Generational Gauss objects with third parameter 5 are "equal" to changed Gauss objects specified here. Generational Gauss objects with third parameter 4 are "equal" to the changed Gauss objects hinted to here.

Finally, here is the complete Java program that prints the output of the previous post, with the generational Gauss class.