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Another little game?

43, 23, 46, 29, 58, _, _

provide the next two numbers in the sequence and describe the rule.

The first one to answer gets a prize.
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Caprice · 41-45, F Best Comment
sumojumo · 36-40, M
@Caprice no, again, a nice try, but this does not work. May I ask you for the rule that you used to come up to these two numbers. People are so creative, you come up with all sorts of interesting things - but I am looking for a rather simple rule. I will give a small hint - you should not look at these numbers in this representation, if you shift the representation in some way, then things become quite obvious
Caprice · 41-45, F
Last guess... Is it 37, 65? @sumojumo
sumojumo · 36-40, M
@Caprice no :(. that does not work. What rule was it this time? Maybe I can help some more if i see the direction you are looking at
Caprice · 41-45, F
The second digit of each number set is the sum of the second digits from the two previous sets of numbers. For example... 43 and 23 (3+3=6), which makes the second digit of the next set of numbers a 6 (46).

The first digit of each number set in the sequence of numbers, is the same as two sets prior, with the exception of needing to increase the first digit by one when “carrying over”.
For example... The first digits stay in rotation of 4, 2, 4, 2, except 58, because when adding the 6+9 (from the third and forth set of numbers), you have 15, which requires the 1 to be carried over to the first digit (4), which gives you 58.

It’s a long shot, but I tried😋

@sumojumo
sumojumo · 36-40, M
@Caprice impressive, this is probably more interesting than the real answer :). When one has such a small sequence of numbers all sorts of rules can be found that fit the sequence. In science, this is called overfitting :). Occam's razor wants the simplest rule, which I think is the right answer. I will give just a new hint, only one word - binary
Caprice · 41-45, F
111, 212? @sumojumo
sumojumo · 36-40, M
@Caprice What was the rule this time? You have great rules, so I am curious :). But it is not the right answer...
Caprice · 41-45, F
😤!!!Aggghhhh!!!

Here, I’ll just show you rather than try and explain:p
(No making fun of my chicken scratch!)


@sumojumo
sumojumo · 36-40, M
:D you should see my handwriting, probably in some countries it is a crime to write so badly as I do.

Wow, you found such a beautiful rule on the second level that I have to award you. Very unexpected :)
Caprice · 41-45, F
Woohoo!! 🎉 🙌🏻Thanks;)@sumojumo
sumojumo · 36-40, M
@Caprice I will soon publish the answer that I had in mind, but you can be proud of your effort. Thank you for participating, I have sent you a little token of appreciation as a SW gift.
Caprice · 41-45, F
Thank you:) It was a fun way to start my morning @sumojumo
sumojumo · 36-40, M
I am glad, I hope your day continues in the same manner :)
@sumojumo What is the answer, this time I got 41 🙈..???
sumojumo · 36-40, M
@PuppetOnStrings :) the answer to everything is always 42, you should know that ;)
sumojumo · 36-40, M
@PuppetOnStrings I will wait a little bit more, people are still working hard on the solution, if none is found I will post the answer
sumojumo · 36-40, M
@PuppetOnStrings @Caprice@wackidywack@lilida@puck61@MichaelT@Quizzical
101011 = 43
010111 = 23
101110 = 46
011101 = 29
111010 = 58
110101 = 53
101011 = 43

I hope this makes it clear, this is a circular sequence,but thank you all for participating, you were all fantastic.