Tremendous work here, keep it coming! No time now to comment on most of it, so here are just a few relevant brief and interesting points: The sum of all 10 of the first triplets of Pi (314… 327), is 4173. It is interesting that this may be understood as 41-73, i.e., a combination of two primes, 41 , the 13th prime, and 73, the 21st prime. Note too that the difference between 314 and 327, the first and last of these 10 triplets, is 13, while their middle digits in reverse are 21, hinting to these two primes. Also 13 x 21 = 273 (and 273 is the second part of 401,273, which is already discussed more at length in Ezra’s newer next post). Also, 41 + 73 = 114, which is the same as the combination of the Name of 42 and the Name of 72, i.e., 42 + 72 = 114. Since we are discussing Pi, 3.14, it is interesting that 4173 in reverse is 3(7)14. Notably, 4173 is also somewhat reminiscent of the number 401273, which may be seen as 4(0)1(2)73, and 401273 also has in it the digits for Pi, 314. Also 4173 may be understood as 4000 + 173, where 173 is the 40th prime number. The combination of the number 4000 (which may be understood as 4 times Elef (1000), or 4 x Alef (1) = 4), and the number 40, is reminiscent of the number 44, which together with 314, the gematria of the Name Sha’da’i’, sums to 358, the gematria of Moshiach, 314 + 44 = 358. Interestingly 401273 / 4173 = 96.15935777618021, and the first triplet after the decimal point in this number is 159, the same as the second triplet of Pi, and the next triplet,357, when rounded up is 358, the gematria of Moshiach, and also the 4th triplet in Pi. Also catching the eye in this number is the string 5777, which rounds up to 5778, the projected year of Moshiach’s coming. Then after this 5777 is a triplet 618, which is the first triplet after the decimal of Phi. Also the 96 whole number part before the decimal, combined with 3, the whole number part of Pi before decimal, sums to 96 + 3 = 99, which rounds up, or with 1 for the Kolel, to equal an even 100. —– Interestingly the 42nd prime number is 181, and with 1 for the Kolel it is 182, the gematria of the name יעקב, Yakov, and also 7 x 26, i.e., 7 times the Name Hashem. The 72nd prime number is 359, which is the same as משיח, Moshiach, 358, plus 1 for the Kolel. The sum of 181 + 359 = 540, which is 10 times the key number 54, and with 1 for the Kolel it is 541, the gematria of the name ישראל, Yisrael, and as was said before, 541 is the 100th prime. Good Shabbos!