Sunday, January 26, 2020

Редове 5 в квадратите на ПИ, Rows #5 in PI Squares.

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1972 = 2 × 2 × 17 × 29 , 710507 = 7 × 101501


1+9+7+2+7+1+0+5+0+7 = 39
1×9×7×2×7×1×0×5×0×7 = 30870 = 90 × 343
19×72×71×05×07 = 3399480 = 840 × 4047


2 + 2 + 17 + 29 + 7 + 101501 = 101558 = 2 × 17 × 29 × 103
101558 × 2 = 203116 = 1972 × 103


Редове 5 в квадратите на ПИ, Rows #5 in PI Squares.
1 - 5) 9862 > 986 × 2 = 1972.
2 - 5) 21 + 33 + 93+ 60 + 72 = 279 × 1.
3 - 5) 96 + 27 + 49 = 172.
(96 × 27 × 49 = 127009 - 1 = 1 × 9 × 9 × 7 × 7 × 2 × 2 × 2 × 2 × 2 )
4 - 5) 710507 = 7 × 101501. (71 05 07 92 27 96 89 25 89 23)
5 - 5) 3814 = 1907 × 2.


1-5) 98+62+80+34+82+53+42+11+70+67 = 86/599, (PR#105, 10),
80+34+82+53+42+11+70+67 = 61/439, (PR#81, 14).


2-5) 21+33+93+60+72+60+24+91+41+27 = 72/522 = 18 × 29,
6+0+2+4+9+1+4+1+2+7 = 36/243 = 3 × 3 × 3 × 3 × 3.


3-5) 96+27+49+56+73+51+88+57+54+91 = 111/642 = 6 × 107,
5+6+7+3+5+1+8+8+5+7+5+4+9+1 = 74/470.


4-5) 71+!05+07+92+27+96+89+25+89+23 = 101/524 = 4 × 131,
724 = 4 × 181. 9+2+2+7+9+6+8+9+2+5+8+9+2+3 = 81/441 = 9*49,
258923 = 7 × 47 × 787, 2+5+8+9+2+3 = 29, 25+89+23 = 137 = PR#29,
258+923 = 1181 = PR#190,
92279689 = 17 × 97 × 107 × 523, 92+27+96+89 = 304 = 16 * 19,
9+2+2+7+9+6+8+9 = 52, 9227+9689 = 18916 = 4 × 4729.
710507 = 7 × 101501, 7+1+0+5+0+7 = 20, 71+5+7 = 83,
710+507 = 1217 = PR#195.


5-5) 38+14+20+61+71+77+66+91+47+30 = 83/515 = 5 × 103
(PR#19, 23). 2+0+6+1+7+1+7+7+6+6+9+1+4+7+3+0 = 67 = PR#15,
463 = PR#86




https://docs.google.com/document/d/1j8T-Gch3RQ0eqQdHI20ADgybby3569OU7K-QwYTqd1A/edit

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