91st Black Tuesday Anniversary: October 19 to 30th →(17, 71), (17 + 59 + 277) = 353

• The net change in the trading week beginning on October 19 (10/19) was (- 271) points.
• 271 is the 58th prime number.
• On October 19 (10/19) the Dow lost 411 points (the largest daily change during the week).
• 1019 is the 171st prime number.

• 171 is formed by merging 17 and 71.
• The 17th prime number is 59.
• The 59th prime number is 277.

• The prime-chain is (17, 59, 277).
• (17 + 59 + 277) = 353 (the 71st prime number).

• During the following trading week (October 26 to 30) the net change was (- 1834) points.
• 1693 is the 264th prime number.
• 17 is the 7th prime number.

264 + (7) = 271 (the 58th prime)

58 + (7 + 17 + 59) + 1693 = 1834

58 + (353) = 411

Consider the daily changes (rounded to nearest whole number) in the trading week beginning on October 26:

• October 26 → - 650
• October 27 → - 222
• October 28 → - 943
• October 29 →   139
• October 30 → - 158

The only daily change (139) which is a prime number occured on the date (10/29) during the week where the month number (10) and day number (29) form a number-prime relationship.

• 139 is the 34th prime number.
• The 139th prime number is 797.

(34 + 139 + 797) + 17 = 987

• 17 is the 7th prime number.
• The prime chain starting at 7 is: (7, 17, 59, 277).

(34 + 139 + 797) - (7 + 17 + 59 + 277) = 610

• 610 is the 15th Fibonacci number.
• 987 is the 16th Fibonacci number.

• The trading week starting on October 19 ended 264 days after Super Bowl 54.
• 71 - 17 = 54
• The 54th prime is 251.
• The 251st prime is the 17th (1597) Fibonacci number.
• 1346 is the number to which 251 must be added to reach 1597.

(17×71) + 139 = 1346

• October 29, 2020 is the 91st anniversary of Black Tuesday.
• 91 is the 13th triangular number.
• 7 and 13 are the prime factors of 91.
• The 7th prime number is 17.
• The 13th prime number is 41.
• (17 + 41) = 58
• The 58th prime number is  271.
• (1741) is the 271st prime number.

• The 41st prime number is 179.
• The prime chain is (13, 41, 179).
• (13 + 41 + 179) = 233, the 13th Fibonacci number.
• (1471), the reflection of (1741) is the 233rd prime number.

• Separating the first two (14 and 17) and last two (71 and 41) digits of each number provides the pairing (17, 71) and (14, 41).
• Merging 17 and 71 forms 171.
• Merging 14 and 41 forms 141.

1693 + (141) = 1834

•  The 17th Fibonacci number is 1597.
• 1597 is the 251st prime number.
• 1346 is the number to which 251 must be added to reach 1597.

• 17 is the 7th prime number.
• The 17th prime number is 59.
• 11 is the 5th prime number; 23 is the 9th prime number.
• Joining 7 and 59 forms 759.
• 253 is a divisor of 759.
• The prime factors of 253 are 11 and 23.

• The 59th prime number is 277.
• (17 + 59 + 277) = 353, the 71st prime number.
• Joining 17 and 71 forms 1771.
• 7 and 253 are divisors of 1771.
• 7, 11 and 23 are the prime factors of 1771.

1346 + 759 = 271 + 1834

33rd Black Monday Anniversary: Fibonacci, Prime & Perfect Numbers

 The Dow fell 410.89 points on Monday (October 19) as investor hopes for a new stimulus package dwindled.

• 1, 1, 2 and 3 are the first four terms in the Fibonacci sequence.
• Joining each number forms 1123, the 188th prime number.
• 2, 3 and 5 are the first three prime numbers.
• Joining these three numbers forms 235.

Prior to the 2020 market crash, the largest daily change in the Dow's history was 1175 points on February 5, 2018.  This record was broken when the Dow fell 1191 points on February 27, 2020.

• From February 5, 2018 to October 19, 2020 is 987 days.

• 987 is the 16th Fibonacci number.

• From February 27, 2020 to October 19, 2020 is 235 days.

• The 235th prime number is 1483.

1483 - (987) = 496 (the 3rd perfect number)

• 1248 is the number to which 235 must be added to reach the 235th prime number.

1248 + (235) = (1483)

1123 + (125) = 1248

1248 + (235) = (1483)

• November 23 (11/23) leaves 38 days remaining in the year.
• The 38th prime number is 163.
• 125 is the number to which 38 must be added to reach 163.

• October 19, 2020 is the 33rd anniversary of the Black Monday crash [(10/19)/'87].
• February 27, 2020 is the 87th anniversary of the Reichstag fire (2/27/'33).

• The 87th prime number is 449.
• The 33rd prime number is 137.
• The 137th prime number is 773.
• 1019 is the 171st prime number.

• 362 is the number to which 87 must be added to reach 449.
• 848 is the number to which 171 must be added to reach 1019.
• 935 is the number to which 188 must be added to reach 1123 (the 188th prime number).
• On the 33rd anniversary of Black Monday the Dow fell 411 points.

848 + 362 + (38) = 1248

848 + 87 = (935)

411 + (38) = 449

• 137 is a divisor of 411: 411/3 = 137.

411 + 362 = 773 (the 137th prime number)

411 - 163 = 248

• 248 is a divisor of 1488 and 496.

362 - 248 = 610 (the 15th Fibonacci number)

• The number-prime relationship (65, 313) can be represented by simply writing 248, since 248 is the number to which 65 must be added to reach 313.

935 + (313) = 1248

[Note also, the divisors of 1175 sum to 1488.  The difference between 1175 and the sum of it's divisors is 313.]

87 + 33 + (17) = 137 (the 33rd prime)

87 - 33 = 54

• The 54th prime number is 251.
• The 251st prime number (1597) is the (17)th Fibonacci number.
• 1346 is the number to which 251 must be added to reach 1597.

1346 + 137 = 1483

1346 - 411 = 935

137 + 235 = 372

• 89 is the 11th Fibonacci number.
• 372 is the number to which 89 must be added to reach 461, the 89th prime number.
• The difference between 171 and the sum (260) of it's divisors is 89.

260 - 171 = 89

1346 + 125 = 1471 (the 233rd prime number)

• 233 is the 13th Fibonacci number.
• 1471 + (17) = 1488

• 28 is the 2nd perfect number.
• 6 is the first perfect number.

411 - (28 + 6) = 377

• 377 is the 14th Fibonacci number.
• Joining 28 and 6 forms 286.

286 + (125) = 411

(773 - 137) + 235 = 871

871 + (377) = 1248

Dark & Recursion: Largest Single Day Changes (11, 66, 89)

"Dark" and the novel "Recursion" are similar in that they are both philosophical on the nature of time.  In Dark the apocalypse occurs on June 27, 2020 as depicted in "Endings and Beginnings," the final episode of season 2.  In Recursion the world disintegrates on April 16, 2019.

• The two dates are 438 days apart.

The 438th prime number is 3061:

2623 is the number to which 438 must be added to reach 3061:

2623 + (438) = (3061)

The largest point drop in the Dow's history prior to the 2020 market crash was 1175 points on February 5, 2018.  This record was broken on February 27, 2020 when the Dow fell 1190.95 points.

Consider the trading week (beginning on February 24, 2020) in which the old record was broken:

• February 24 →  (- 1031.61)
• February 25 →  (- 879.44)
• February 26 →  (- 123.77)
• February 27 →  (- 1190.95)
• February 28 →  (- 357.28)

(1032 + 879 + 124 + 1191 + 357) = 3583, the 502nd prime number.

1191 + (502) = 1693, the 264th prime number.

From April 16, 2019 to February 27, 2020 is 317 days:

From February 27, 2020 to June 27, 2020 is 121 days:

• 317 is the 66th prime number.
• 66 is the 11th triangular number.

• 121 is 11 squared.
• 89 is the 11th Fibonacci number.
• The 89th prime number is 461.
• 372 is the number to which 89 must be added to reach 461 → 372 + (89) = (461).
• 372 + (66) = 438
• Prior to February 27, 2020 the difference between the largest point drop (1175) and largest point gain (1086) in the Dow's history was 89.

1693 + (89) = 1782

• The 317th prime number is 2099.

• 1782 is the number to which 317 must be added to reach 2099.

1782 + (317) = (2099)

(1693 + 89) + (317) = (2099)

Consider the weekly net changes during the 8 consecutive trading weeks beginning from February 24, 2020:

• February 24 to February 28 →  (- 3583)
• March 2 to March 6 →  (+ 455)
• March 9 to March 13 →  (- 2680)
• March 16 to March 20 →  (- 4011)
• March 23 to March 27 →  (+ 2464)
• March 30 to April 3 →  (- 584)
• April 6 to April 9 →  (+ 2667)
• April 13 to April 17 →  (+ 523)

Recall the significance of the number-prime relationship [344, 2311] to the trading week beginning on March 16, 2020.  The difference in the net change during the trading weeks beginning on March 9th and March 16th is 11 cubed:

(4011 - 2680) = 1331 = (11×11×11)

• 23:11 military time is 11:11 on the twelve-hour clock.
• 2311 is the 344th prime number.

344 + [(- 3583) + 455 - 2680 - 4011 + 2464 - 584 + 2667 + 523] = 344 + [- 4749] = - 4405

Recall:

• There are 438 days between April 16, 2019 and June 27, 2020.
• 3061 is the 438th prime number.
• 2623 is the number to which 438 must be added to reach 3061.

• April 16, 2019 is 317 days before February 27, 2020 (the date the old record for the largest single-day point change was broken).
• 317 is the 66th prime number.
• 66 is the 11th triangular number.
• June 27, 2020 is 121 days after February 27, 2020.
• 121 is 11 squared.
• 89 is the 11th Fibonacci number.
• Prior to February 27, 2020, the difference between the largest point drop (1175) and largest point gain (1086) in the Dow's history was 89.
• 1693 + (89) = 1782
• 1782 is the number to which 317 must be added to reach 2099, the 317th prime number.

(2623 - 4045) = - 1782 = - (1693 + 89)

Some Additional Notes on The 2020 Stock Market Crash:

• During the trading week beginning on February 24, the Dow fell 1191 points breaking the previous record for the largest single day loss.
• The net change during this week was 3583 points.
• 3583 is the 502nd prime number.
• 1191 + 502 = 1693, the 264th prime number.

6765 is the 20th Fibonacci number:

6765 - (3583 + 502) = 2680

• 2680 is the net change in the trading week beginning on March 9.

The 16th Fibonacci number is 987:

2680 - 987 = 1693

• The largest point gain in the Dow's history was 2113 points on March 24, 2020.
• 2113 is the 319th prime number.

• 1794 is the number to which 319 must be added to reach 2113.

6765 - (1794) = (4971)

From March 24 to March 26 the Dow posted it's biggest three day rally in 89 years:

• March 24 → + 2113
• March 25 → + 496
• March 26 → + 1352

(2113 + 496 + 1352) = 3961, the reflection of 1693.

• The three day rally began on March 24 (24/3).
• The second consecutive gain was 496 points on March 25 (25/3)
• 243 + 253 = 496 (the third perfect number).
• The final day of the three day rally was March 26 (26/3).
• 243 + 253 + 263 = 759
• 759 is the number to which 694 must be added to reach 1453.
• 3541 is the 496th prime number.

• 233 is a divisor of 3961: 3961/17 = 233.
• 233 is the 13th Fibonacci number.
• 694 - 233 = 461, the 89th prime number.
• 89 is the 11th Fibonacci number.

Consider the chain of Prime numbers starting at 11:

(The 11th prime number is 31 → the 31st prime number is 127)

• The 31st triangular number is the third perfect number (496).
• The 127th triangular number is the fourth perfect number (8128).

• The net change in the trading week beginning on April 6th was 2667 points.
• The divisors of 2667 sum to 4096.

4096 - 2667 = (1429)

• 1429 is the number to which 264 must be added to reach 1693 (the 264th prime number).

1429 + (264) = (1693)

Dark and Recursion: Largest Single Day Changes

• The largest point drop in the Dow's history was 2997 points on March 16, 2020.
• The Largest point gain in the Dow's history was 2113 points on March 24, 2020.

June 27, 2020 is 103 days after March 16, 2020:

June 27, 2020 is 95 days after March 24, 2020:

103 + 95 = (198)

April 16, 2020 is 335 days before March 16, 2020:

April 16, 2020 is 343 days before March 24, 2020:

335 + 343 = (678)

• 198 is a divisor of 1782: 1782/9 = 198.
• 66 is a divisor of 198: 198/3 = 66.

198 + (66) = 264

The 198th prime number is 1213:

• 1015 is the number to which 198 must be added to reach 1213.

1015 + (678) = 1693

The divisors of 678 sum to 1368:

3061 - (1368) = 1693

• 461 is the 89th prime number.
• The 461st prime number is 3259.

3259 - 3061 = (198)

Consider the final trading week of the 2020 market crash:

April 6 →  (+ 1627)

April 7 →  - 26

April 8 →  + 780

April 9 →  + 286

• The net change during the week was (+ 2667) points.
• The largest point gain during the week was 1627 points on April 6 (6/4), the first trading day of the week.
• 64 is 8 squared.
• The divisors of 2667 sum to 4096.
• 4096 is 64 squared.
• 4096 - 2667 = 1429
• 1429 is the number to which 264 must be added to reach 1693, the 264th prime number.

66 is a common divisor of 198 and 264:

• 198/3 = 66
• 264/4 = 66

198 + (66) = 264

1627 - (198) = 1429

1627 + (66) = 1693

Using the most basic cypher (ordinal), "Dark" equals 34:

The 34th prime number is 139:

1627 - (139) = 1488 = (16×93)

Adding 678 to 198 gives the reflection (876):

198 + (678) = (876)

(678 + 876) + 139 = 1693

• The largest daily loss in the Dow's history is 2997 points on March 16.
• The divisors of 2997 sum to 4598:

The difference between 2997 and the sum of it's divisors is 1601:

4598 − 2997 = 1601

1601 is the 252nd prime number.

The number-prime relationship [252, 1601] can be represented by simply writing 1349, since 1349 is the number to which 252 must be added to reach 1601.

• The 2997 point drop occurred on the first day of the trading week ending on 20/3.
• On 20/3 the Dow lost 913 points.
• The following trading week began on 23/3.
• 233 is the 13th Fibonacci number.

203 + 913 + 233 = 1349

• Recall the significance of the number-prime relationship [264, 1693] to each large point drop that has occurred since early February 2018.

1693 − 1349 = 344

• The 344th prime number is 2311.

The number-prime relationship [344, 2311] can be represented by simply writing 1967, since 1967 is the number to which 344 must be added to reach 2311.

• The 233rd prime number is 1471.

1967 - 1471 = 496 (the third perfect number)

• The total daily gains in the trading week ending on 20/3 were: 1049 + 188 = 1237.
• 1237 is the 203rd prime number.
• The number-prime relationship [203, 1237] can be represented by simply writing 1034, since 1034 is the number to which 203 must be added to reach 1237.
• The net change in the trading week ending on 20/3 was: [(- 2997) + 1049 − 1338 + 188 − 913] = - 4011

2311 − 1034 = 871

Adding 344 to the net change and taking the daily average equals 871: 

(4011 + 344)/5 = 871

• The 14th Fibonacci number is 377.
• 871 + 377 = 1248

• The number-prime relationship [235, 1483] can be represented by simply writing 1248, since 1248 is the number to which 235 must be added to reach 1483.
• The 16th Fibonacci number is 987.

1483 - (987) = 496 (The third perfect number)

Consider the weekly net changes from February 24 to the trading week beginning on March 23 (23/3):

• February 24 - 28 → - 3583
• March 2 - 6 → 455
• March 9 - 13 → - 2680
• March 16 - 20 → - 4011
• March 23 - 27 → 2464

[-3583 + 455 - 2680 - (4011 + 344)] = - 10163

• 10163 is the 1248th prime number.

• The two largest point drops in the Dow's history are 2997 points on March 16, 2020 and 2353 points on March 12, 2020.
• (2997 - 2353) = 644
• (6×44) = 264
• The 644th prime number is 4789.
• (4789 - 1248) = 3541
• 3541 is the 496th prime number.

Taking the weekly average from February 24 to the trading week beginning on  March 23 (23/3):

(-3583 + 455 - 2680 - 4011 + 2464)/5 = - 1471, the 233rd prime number.


Recall:

• 1237 is the 203rd prime number.
• 1471 is the 233rd prime number.
• 1601 is the 252th prime number.
• 1349 is the number to which 252 must be added to reach 1601.

• 610 is the 15th Fibonacci number.
• The 610th prime number is 4493.
• 4493 - [(203 + 1237) + (233 + 1471)] = 1349

• The 17th Fibonacci number is 1597.
• 1349 + (248) = 1597
• 248 is a divisor of 1488 and 496.

• The number-prime relationship [252, 1601] can be represented by simply writing 1349, since 1349 is the number to which 252 must be added to reach 1349.
• The number-prime relationship [203, 1237] can be represented by simply writing 1034, since 1034 is the number to which 203 must be added to reach 1237.

(1349 + 1034) = 2383

• 2383 is the 354th prime number.
• 2029 is the number to which 354 must be added to reach 2383.
• 2029 is the 308th prime number.
• 1721 is the number to which 308 must be added to reach 2029.
• 1721 is the 268th prime number.
• 1453 the is the number to which 268 must be added to reach 1721.
• 3541 is the 496th prime number.

Recall:

• 987 is the 16th Fibonacci number.
• The number-prime relationship [235, 1483] can be represented by simply writing 1248, since 1248 is the number to which 235 must be added to reach 1483.

• 1483 - (987) = 496

• 235 + (987) = 1222
• The number-prime relationship [231, 1453] can be represented by simply writing 1222, since 1222 is the number to which 231 must be added to reach 1453.

Dow: 2997 & 2353 Point Drops→(2353 − 1237) = 1116

The two largest daily point drops in the Dow's history are 2353 points on March 12, and 2997 points on March 16.

12 and 37 are divisors of 7992 (the reflection of 2997):

• 7992 ÷ 12 = 666
• 7992 ÷ 37 = (6×6×6)

37 is the 12th prime number:

Consider the trading week in which the 2997 point drop occurred:

March 16 →  - 2997.1
March 17 →  + 1048.86
March 18 →  - 1338.46
March 19 →  + 188.27
March 20 (20/3) →  - 913.21

The total daily point gains in the week were: 188 + 1049 = 1237.

• 1237 is the (203)rd prime number.
• The trading week ended on (20/3).

• At 12:37 there is 11 hours and 23 minutes left in the day.
• At 11:23 there is 12 hours and 37 minutes left in the day.

On the trading day prior to March 20 (20/3) the Dow gained 188 points.  1123 is the 188th prime number:

The Dow dropped 913 points on 20/3 (the last day of the trading week):

(913 + 203) = 1116

• (11×16) = 176
• The largest daily gain in the week was 1049.
• 1049 is the 176th prime number.

Prior to the 2997 point drop, the largest daily point drop in the Dow's history was 2353 points on March 12.

(2353 − 1237) = (1116)

Recall the significance of the number prime relationship [264, 1693] to each large point drop that has occurred since early February 2018.  (16 times 93) equals 1488.

The numbers 1488 and 1116 have several divisors in common.  372 is a divisor of both 1488 and 1116:

(1488÷4) = 372
(1116÷3) = 372.

Adding 372 to 1116 is equal to 1488.

11 times 16 is equal to 176. The divisors of 176 are: (1, 2, 4, 8, 11, 16, 22, 44, 88 and 176).  The divisors of 176 sum to 372: (1 + 2 + 4 + 8 + 11 + 16 + 22 + 44 + 88 + 176) = 372.

176 and 264 both have the common divisor of 88.

(264 ÷ 3) = 88
(176 ÷ 2) = 88.

Adding 88 to 176 is equal to 264.

• 2997 is the largest daily point loss in the Dow's history and occurred on the first day of the trading week ending on 20/3.
• The other daily losses during the trading week were 913 points on March 20 and 1338 points on March 18.
• (913 + 1338) = 2251
• 2251 is the 335th prime number.
• Prior to the 2997 point loss, the largest daily loss was 2353 points.
• 23:53 military time is 11:53 on the 12 hour clock.

(1153 + 335) = 1488

• 1153 is the 191st prime number  →  191 is the 43rd prime number  →  43 is the 14th prime number.

(191 + 43 + 14) = 248

• 248 is a divisor of 1488:

Perfect Numbers:

• March 20 (20/3) leaves 286 days remaining in the year.
• The 2353 point drop occurred on March 12 (12/3).
• The 2997 point drop occurred on March 16 (16/3).
• (123 + 163) = 286
• 286 is formed by joining the second (28) and first (6) perfect number.

It is possible to represent a prime relationship by writing a single number.  For example, the number prime relationship [203, 1237] can be represented by simply writing 1034, since 1034 is the number to which 203 must be added to reach 1237.

1034 + (203) = (1237)

• The divisors of 1034 sum to 1728.
• The difference between 1034 and the sum of it's divisors is 694 (the reflection of 496, the third perfect number).

(1728 - 1034) = 694

[777, 5903]

• The largest daily point drop in the Dow's history was 2997 points on March 16, 2020.
• The 2997 point drop occurred on the first day of the trading week ending on March 20 (20/3), 2020.
• Recall that the first significant point drop in 2018 was 666 points on February 2.
• From the 666 point drop to March 20, 2020 is 777 days.

• The 203rd prime number is 1237.
• 37 is the 12th prime number.
• 7992 (the reflection of 2997) ÷ 12 = (666)
• 7992 ÷ 37 = (6×6×6)
• 73 is the 21st prime number.
• 21 = (7 + 7 + 7) = (7×3)

• The second largest point drop in the Dow's history was 2353 points on March 12, 2020.
• Recall the significance of the number-prime relationship [264, 1693].
• 5903 is the 777th prime number.

7992 - (5903) + 264 = 2353

Successive Primes and Squares: (23)(53), (29)(97)

• The two largest point drops in the Dow's history are 2353 points on March 12, 2020 and 2997 points on March 16, 2020.
• The first two (23 and 29) and last two (53 and 97) digits of each number forms a prime number.
• 23 and 29 are successive prime numbers (the 9th and 10th).
• 53 is the 16th prime number and 97 is the 25th prime number.
• 16 and 25 are successive squares.
• 16 is (4)squared and 25 is (5)squared.

Jon Nödtveidt (777)

Nödtveidt was found dead August 13, 2006, a 777 day span after his 29th birthday.

In 1997 he was convicted of murder, a crime committed on July 22, 1997.  He died 343 days before the 10th anniversary of the murder.

343 = (7×7×7)

29 is the 10th prime number:

• Joining the numbers 10 and 29 forms 1029.
• 343 is a divisor of 1029.

1029 = 7³ + 7³ + 7³