sequence 24,60,210,504,1716,2730,...,...

[jasen 4]

Find next 2 numbers

24,60,210,504,1716,2730,...,...

Edited August 17, 2016 by jasen

[Thalia 60]

Spoiler

5814, 7980

List prime numbers. Multiply by next two higher numbers. 

2.3.4

3.4.5

5.6.7

. . . 

17.18.19

19.20.21

 

[rocdocmac 3]

24, 60, 210, 504, 1716, 2730, 4542, 6738 (??)

[rocdocmac 3]

Maybe a wrong answer, but possibly a valid solution! Two "split" series: (1) 24, 210, 1716 , 4542, ...., and (2) 60, 504, 2730, 6738, ... if we consider two polynomial series:

1st: y = 660x^2 - 1794x + 1158

2nd: y = 891x^2 - 2229x +1398

Far fetched?

[jas 0]

The series

3³-3=24

4³-4=60 .

6³-6=210

8³-8=504

12³-12=1716

14³-14=2730

24³-24=13800

22³-22=10626

4,8,14,22-series--4=1²+3        8=2²+4   14=3²+5       22=4²+6

3,6,12,24----with common ratio 2

The series

3³-3=24

4³-4=60 .

6³-6=210

8³-8=504

12³-12=1716

14³-14=2730

24³-24=13800

22³-22=10626 

1st series

4,8,14,22-series 4=1²+3        8=2²+4   14=3²+5      22=4²+6

2nd series

3,6,12,24----with common ratio 2

Edited August 18, 2016 by jas

[jasen 4]

1st clue : Prime numbers.

[jasen 4]

Just now, rocdocmac said:

24, 60, 210, 504, 1716, 2730, 4542, 6738 (??)

wrong.