Pattern Recognition - 137

Find out the next two numbers in the series.

517, 2021 ,8025 , 32029 , _ , _ , ......................

Answer

517, 2021 ,8025 , 32029 , _ , _ , ......................

5 ,     20 ,   80 ,   320 , .........  Next two numbers 1280 , 5120

    *4      *4     *4

17 ,  21 ,   25 ,   29 , ........... Next two numbers  33, 37 

    +4    +4     +4

Next two numbers in the series  1280 33 , 512037

517, 2021 ,8025 , 32029 ,128033 , 512037 ,...........................

Pattern Recognition - 136

Find out the next two numbers in the series.
 4 , 27 , 16 , 125 , 36 , 343 , _ , _ , ..................

Answer

    4 ,   27 ,   16 ,   125 ,   36 ,  343 , _ , _ , ..................

2 ^ 2 , 3^3 ,   4^2 ,   5^3 , 6^ 2,  7 ^ 3,_ ,_ ............

Next two numbers  8 ^ 2 , 9 ^ 3    = >  64,  729 

4 , 27 , 16 , 125 , 36 , 343 , 64 , 729 , ..................

Pattern Recognition - 135

Find out the next two numbers in the series.
1121 , 2312 , 1325 , 2714 , 1529 ,_ , _ , ......................

Answer

1121 , 2312 , 1325 , 2714 , 1529 ,_ ,  _ , ......................

21 = (11*2) -1 

23 = (12*2) -1 

25 = (13*2) -1 

27 = (14*2) -1 

29 = (15*2) -1 

Next two numbers   (16*2) - 1   16  =31 16

                                  (17*2) - 1  17  =17  33

1121 , 2312 , 1325 , 2714 , 1529 , 3116 ,  1733 , ......................

Pattern Recognition - 134

Find out the next two numbers in the series.

2 , 3 , 5 , 5 , 7 , 12 , 11 , 13 , 24, _ , _ , .......................

Answer

2 , 3  ,  5 ,  5 , 7 , 12 , 11 , 13 , 24, _ , _ , .......................

2 , 3 , 5 , 7 , 11 , 13 ,_ , _ , ........   Prime number series

5   =2 + 3

12 =5+7

24 =11+13

Next two numbers in the prime number series 17 ,19

Next two numbers in the original series   17 ,19

2 , 3 , 5 , 5 , 7 , 12 , 11 , 13 , 24, 17 , 19 , .......................