Continue this series

[xilman]

Originally Posted by TravisT

That said, I think it might be possible for someone to get it without looking it up, so unless no one is still working on it, I say don't give it away just yet

I got it without looking it up. I don't think I'm that unusual!


Paul

[Wacky]

Even if you can sieve the pattern in the original sequence, you might not conceive this odd variation

3, 6, 7, 9, 10, 13, .... question

[1260]

Is the next number 276?

[cheesehead]

Originally Posted by Wackerbarth

3, 6, 7, 9, 10, 13, ....

... 16, 17, 19, 20, 23 ... ?

[epatka]

2
4
6
30

What comes next? How is the series constructed? Be warned - it may not be quite what you think!

2*2=4
4+2=6
6*5=30
30+5=35

I guess this is too simple, but I try it anyway :)

or

2*2=4
4+2=6
6*5=30
30+6=36

[Wacky]

Originally Posted by epatka

2*2=4
4+2=6
6*5=30
30+5=35

I guess this is too simple, but I try it anyway :)

I don't think that this is the correct pattern.

But, in any case, you need to give a "rule".
It would seem that you have two alternating definitions (which is certainly fine), but it is not obvious why the 5 is chosen in line 3.

[epatka]

2*2=4
4+2=6
6*5=30
30+5=35

I guess this is too simple, but I try it anyway :)

or

2*2=4
4+2=6
6*5=30
30+6=36

I don't think this is the solution either ;)

The logic behind it was to multiply by a number, than add the same number. Why 5? e.g. 2.5*2.

By the second one, multiply by a number, add the same number, then multiply by another and add the previous sum.

I know it must have a more difficult answer, but as it is now, the solution might as well be what I wrote.....

[Wacky]

Originally Posted by epatka

multiply by a number, add the same number, then multiply by another and add the previous sum.

Yes, I saw that part of your pattern. What is missing is how you choose "a number" and then "another".

Remember that we can always fit any finite sequence to any number of "complex" rules. The puzzle is to have a "simple" rule.

[epatka]

You are right!

I think the solution has something to do with primes.

Every number +1 is a prime. And 42, the number that supposed to be part of it, too.

But I can't figure out, why this sequence?

[Wacky]

Originally Posted by epatka

But I can't figure out, why this sequence?

That's the puzzle :D

[epatka]

But you agree it has something to do with primes. So I did figure out something :)