A VEDIC SUTRA THAT HAD DISAPPEARED MANY CENTURIES AGO TO SORT PRIME BASE AND RELATED PRIME NUMBERS ( OF A MATRIX 0...9 POSITIONS) (STREP OF 6) (+/-) 1 GIVES US A PAIR OF PRIME BASES. A PRIME BASE DIVIDED BY EACH ONE PRIME NUMBER OF ROW-0 MATRIX POSITIONS SORT 2-DIGIT PRIME NUMBERS AND 2- DIGIT PRIME BASES. (STEP OF 6) POSITIONS OF A VEDIC MATRIX 0...9 ARE GIVEN BELOW. THESE ARE BASE POSITIONS TO FIX PRIME NUMBERS. ...0......1.......2......3.......4........5.......6......7.......8......9 x 00- ------ ------ ------ ------ ------ x 06- ------ ------ ------ 0 ------ ------ x 12- ------ ------ ------ ------ ------ x 18- ------ 1 ------ ------ ------ ------ x 24- ------ ------ ------ ------ ------ 2 x 30- ------ ------ ------ ------ ------ x 36- ------ ------ ------ 3 ------ ------ x 42- ------ ------ ------ ------ ------ x 48- ------ 4 ------ ------ ------ ------ x54- ------ ------ ------ ------ ------ 5 x 60- ------ ------ ------ ------ ------ x 66- ------ ------ ------ 6 ------ ------ x 72- ------ ------ ------ ------ ------ x 78- ------ 7 ------ ------ ------ ------ x 84- ------ ------ ------ ------ ------ 8 x 90- ------ ------ ------ ------ ------ x 96- ------ ------ ------ 9 COMPLETE STEP OF 6 (+/-) 1 POSITIONS OF A VEDIC MATRIX 0...9 ARE SHOWN BELOW. ALL THESE ARE PRIME BASES. ...0......1.......2......3.......4.......5....6.......7.....8......9..... ROW-0 PRIMES ----- O----- ------ ------ ----- O--5 ----- O--7 ------ ------ ARE 5 AND 7 0 ----- O--11 ----- O--13 ------ ------ ----- O--17 ----- O--19 ONWARD 11 1 ------ ------ ----- O--23 ----- O--25 ------ ------ ----- O--29 PRIME BASES 2 ----- O--31 ------ ------ ----- O--35 ----- O--37 ------ ------ 3 ----- O--41 ----- O--43 ------ ------ ----- O--47 ----- O--49 4 ------ ------ ----- O--53 ----- O--55 ------ ------ ----- O--59 5 ----- O--61 ------ ------ ----- O--65 ----- O--67 ------ ------ 6 ----- O--71 ----- O--73 ------ ------ ----- O--77 ------ O--79 7 ------ ------ ----- O--83 ----- O--85 ------ ------ ------ O--89 8 ----- O--91 ------ ------ ----- O--95 ------ O--97 ------ ------ 9 A DIVISION CHECK SORTS PRIME AND NOT PRIME NUMBERS. ...0......1.......2......3.......4.......5......6.......7......8......9... A PRIME BASE/ x 00-O 1- ------ ------ ----- O 5- ----- O 7- ------ ------ 5 AND THEN 7 0 ----- O 11- ----- O 13- ------ ------ ----- O 17- ----- O 19- ONWARD 11 1 ------ ------ ----- O 23- ----- O----- ------ ------ ----- O 29- PRIME BASE 2 ----- O 41- ------ ------ ----- O----- ----- O 37- ------ ------ 3 ----- O 41- ----- O 43- ------ ------ ------ O 47- ----- O----- 4 ------ ------ ----- O 53- ----- O----- ------ ------ ----- O 59- 5 ----- O 61- ------ ------ ----- O----- ----- O 67- ------ ------ 6 ----- O 71- ----- O 73- ------ ------ ----- O----- ------ O 79- 7 ------ ------ ----- O 83- ----- O----- ------ ------ ------ O 89- 8 ----- O----- ------ ------ ----- O----- ------ O 97- ------ ------ 9 5 AND 7 ARE ROW-0 CONFIRMED PRIME-NUMBERS BY STEP OF 6 (+/-)1. EACH OTHER PRIME BASE IN ROWS 1, 2, 3, 4, 5, 6, 7, 8 AND 9 SHALL BE DIVIDED BY ROW-0 PRIMES (5 AND 7), WHICH IS DIVISION CHECK. PRIME BASES 25, 35, 55, 65, 85 AND 95 ARE DIVISIBLE BY 5 HENCE NOT PRIME. 49, 77 AND 91 ARE DIVISIBLE BY 7, HENCE NOT PRIME. ALL OTHER PRIME BASES ARE PRIME NUMBERS. PRIME NUMBERS 2 AND 3 ARE NOT INCLUDED IN A DIVISION CHECK . STEP OF 6 TAKE CARE OF 2 AND 3 AS 2X3 = 6. DIVISION CHECK GRADUALLY BECAME A HIDDEN KNOWLEDGE. IN JAIN SCRIPTURES (B.C.650) WE CAN READ STEP OF (6+/-) 1 BUT NOT DIVISION CHECK OR VEDIC MATRIX CONCEPT. A STUDENT CAN EASILY REMEMBER PRIME NUMBERS OF A VEDIC MATRIX 0...9 POSITIONS. 1) CHECK IF NUMBER IS A TABLE OF 6 (+/-)1 (BY REMEMBERING TABLE-6) 2) DIVIDE IT BY 5 AND THEN BY 7. IF BOTH ARE NOT DIVISIBLE SAID PRIME BASE IS A PRIME NUMBER! A LAST POST FIGURE OF THIS PAGE IS A MUCH CLEARLY MARKED MATRIX 0...9 - PRIME NUMBER SORTING BASICS! ****************************************** WHAT METHOD WILL WORK TO SORT PRIME BASES AS PRIME AND NOT PRIME OF A VEDIC MATRIX 00...99? FOLLOW AN IDENTICAL METHOD AS THAT OF VEDIC MATRIX O...9. (STEP OF 6) POSITIONS OF A VEDIC MATRIX 00...99 ARE GIVEN BELOW. THESE ARE BASE POSITIONS TO PRIME NUMBER FIXING. (A MAJOR PART OF MATRIX POSITIONS ARE NOT SHOWN IN THIS FIGURE. IT HARDLY MATTERS! SEE 01 02 INCREASES ALONG DIAGONAL. ..00.....01.....02.....03.....04.....95.....96.....97.....98.....99 0000 ------ ------ ------ ------ ------ 0096 ------ ------ ------ 00 ------ ------ 0102 ------ ------ ------ ------ ------ 0198 ------ 01 ------ ------ ------ ------ 0204 ------ ------ ------ ------ ------ 02 0300 ------ ------ ------ ------ ------ 0396 ------ ------ ------ 03 ------ ------ 0402 ------ ------ ------ ------ ------ 0498 ------ 04 ------ ------ ------ ------ 9504 ------ ------ ------ ------ ------ 95 9600 ------ ------ ------ ------ ------ 9696 ------ ------ ------ 96 ------ ------ 9702 ------ ------ ------ ------ ------ 9798 ------ 97 ------ ------ ------ ------ 9804 ------ ------ ------ ------ ------ 98 9900 ------ ------ ------ ------ ------ 9996 ------ ------ ------ 99 ALONG DIAGONAL WE HAVE UNEQUAL Y= 01 AND X= 02 INCREMENTS. EXAMPLE IS 0102- 0000= 0102 AND 0204- 0102= 0102 AND SO ON. THIS MEMORY HELPS US. STEP OF 6 (+/-) 1 POSITIONS SHOWN BELOW ARE PRIME BASES MARKED BY (O). NEAR(+/-)1 POSITIONS OF VEDIC MATRIX 00...99) ARE SHOWN. THESE ARE PRIME BASE POSITIONS. ..00.....01.....02.....03.....04.....95....96.....97....98.....99 0000 ------ ------ ------ ------ O---- 0096 O---- ------ ----- 5... 97 00... ROW-00 PRIME NUMBERS TO CHECK DIVISIBILITY. ------ O---- 0102 O---- ------ ------ ------ O---- 0198 O---- 01 ------ ------ ------ O---- 0204 O---- ------ ------ ------ O---- 02 0300 O---- ------ ------ ------ O---- 0396 O---- ------ ------ 03 ------ O---- 0402 O---- ------ ------ ------ O---- 0498 O---- 04 ------ ------ ------ O---- 0504 O---- ------ ------ ------ O---- 95 9600 O---- ------ ------ ------ O---- 0696 O---- ------ ------ 96 ------ O---- 9702 O---- ------ ------ ------ O---- 9798 O---- 97 ------ ------ ------ O---- 9804 O---- ------ ------ ------ O---- 98 9900 O----- ------ ------ ----- O---- 9996 O----- ------ ------ 99......................................................^ THIS IS A PRIME BASE 9997 A DIVISION CHECK SEPARATES NOT PRIME AND PRIME NUMBERS. EACH 4-DIGIT PRIME BASE NUMBER OF ROWS 01, 02, 03... 97, 98 AND 99 IS DIVIDED BY ROW-00 PRIMES 5, 7, 11, 13, 17, 19, 23,29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 83, 89 AND 97. AS REGARDS PRIME BASE 9997 ABOVE SAID DIVISION CHECK FIXES IF 9997 IS A PRIME NUMBER OR NOT. A COMPUTER WILL CHECK THIS INSTANTLY. AFTER EACH 4 DIGIT PRIME BASE NUMBER IS SORTED LIST THESE IN ORDER AND USE IT TO SORT A MATRIX 0000...9999 PRIME BASES (8 DIGITS EACH). THUS A MATRIX BY MATRIX n 0s... n 9 s PRIME NUMBER SORTING BECOME POSSIBLE. MANY CENTURIES AFTER VEDIC MATHEMATICS WERE USED PRIME NUMBER SORTING BY DIVISION CHECK HAD DISAPPEARED. JAIN SCRIPTURES (B.C.650) JUST REVEALS A STEP OF 6(+/-) 1 BUT NO DIVISION CHECK OR VEDIC MATRIX. KEEP MATTERS SIMPLE AND UNIQUE WAS A BASIC NUMBER APPLICATION PRINCIPLE FOLLOWED BY ANCIENT INDIANS (B.C. 3000-4000), WHICH IS MOST ESSENTIAL IN COMPUTER ERA). WE HAVE MORE VEDIC METHODS TO SORT PRIMES. STEP OF 6(+/-) 1 IS THE SIMPLEST. ABOVE METHOD RELATES A FACT THAT A PRIME BASE IS EITHER A PRIME NUMBER OR IT HAS MORE THAN 1 PRIME NUMBERS AS FACTORS. PRIME BASE 1001= 7 X 11 X 13. BOTH 7 AND 13 HAS RELATED VEDIC SUTRAS. IT GIVES ANSWER TO A QUESTION WHY PRIME NUMBER STUDY IN ANCIENT INDIA?
Posted on: Sat, 25 Jan 2014 11:15:53 +0000
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