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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Hi everyone

I saw the "add x" threads and thought about the following

chain puzzle. Hope some of you will like it :-)

______________The puzzle________________

My numbers are between 1 and 99.

Glued together, they give the sequence S (S must have no more than 10 digits)

Their sum (or mean) is ...

There are often multiple solutions, so one may add additional

constraints/hints (one of my numbers is a prime/Fibonacci number, etc.)

_____________A Simple Example___________

My numbers are between 1 and 99.

Glued together, they give the sequence 15723

Their sum is 81

Solution 1 : 1 57 23

Solution 2 : 1 5 72 3

I could have added the following constraint/hint

- At least 2 of of my numbers are Fibonacci numbers

to make Solution 2 the only valid answer

_____________First Puzzle____________

My numbers are between 1 and 99.

Glued together, they give the sequence 23931897

Their sum is 195

Constraints/Hints:

#1 At least three of my numbers are prime numbers

#2 At least one of my numbers is a 2-digit Fibonacci number

***** ANSWER FORMAT *****

Answer to previous:

My numbers are between 1 and 99.

Glued together, they give the sequence ... [10 digits or less]

Their sum/mean is ...

Constraints/Hints:

#1

#2

*Last edited by meanmaths (2013-08-21 06:48:35)*

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GameMaster of Mean Sumurai @ Google Play

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Hi meanmaths

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Hi anonimnystefy

Congrats for the solution.

Now, you get to propose your own puzzle

You just have to think about some numbers in your head

and complete the answer format.

A cool thing is that you can draw attention

to a number (between 1 and 99) with some special properties

(anyone who solved the puzzle can continue the chain)

***** ANSWER FORMAT *****

Answer to previous:

My numbers are between 1 and 99.

Glued together, they give the sequence ... [10 digits or less]

Their sum/mean is ...

Constraints/Hints:

#1

#2

*Last edited by meanmaths (2013-08-21 07:42:47)*

Number Splitter #1

GameMaster of Mean Sumurai @ Google Play

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

I think I'll leave it to someone else to come up with a new puzzle.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Answer to previous: 2 3 93 1 89 7

My numbers are between 1 and 99.

Glued together, they give the sequence 66267115

Their sum is 151

Constraints/Hints:

#1 Two of my numbers can be expressed as the sum of two of my other numbers

***** ANSWER FORMAT *****

Answer to previous: ...

My numbers are between 1 and 99.

Glued together, they give the sequence ... [10 digits or less]

Their sum/mean is ...

Constraints/Hints:

#1

#2

Number Splitter #1

GameMaster of Mean Sumurai @ Google Play

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,233

66 + 2 + 6 + 71 + 1 + 5 = 151

71 = 66 + 5

6 = 1 + 5

My numbers are between 1 and 99. When glued together they become 171975913.

Constraints:

#1 At least 2 numbers are prime.

#2 The sum of my numbers is a square.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Hi bobbym

You need to give the sum of your numbers as a value.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

You're right anonimnystefy

but what he did is a cool variant. I enjoyed solving it.

If there is no other answer, I will add my own puzzle later today.

*Last edited by meanmaths (2013-08-22 02:38:27)*

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GameMaster of Mean Sumurai @ Google Play

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,233

That is one answer but there is another one.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Answer to previous

Pascal-themed puzzle

My numbers are between 1 and 99

Glued together, they give 919236295

To get the sum of my numbers, you have to get a list of the first prime numbers

and retrieve the position occupied by the prime number obtained by dividing Pascal birthyear by 3.

(phew, I'm not even sure this is understandable :-D)

Constraints/Hints

#1 One of my numbers is the monthday of Pascal's birth and death

*Last edited by meanmaths (2013-08-22 11:21:51)*

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Hi meanmaths

I've seen less understandable. I think Bob and phrontister can confirm it.

Here lies the reader who will never open this book. He is forever dead.

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

well done, anonimnystefy.

(You give me more work though because I have to build another puzzle to make up for the one you didn't provide :-P)

Number Splitter #1

GameMaster of Mean Sumurai @ Google Play

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Sorry about that.

Anyone willing to can pose a new one instead of me.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,233

What type puzzle is required? The old type or the Pascal theme?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

any puzzle will do, bobbym. The initial version, your version, or a version themed around a mathematician/scientist you admire, etc.

The cool thing with the themed version is that it gives an additional tiny bit of mathematics culture/trivia to the people who try to solve it.

The less cool thing is that it requires more time to build, compared to the simpler puzzles.

*Last edited by meanmaths (2013-08-23 04:17:31)*

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GameMaster of Mean Sumurai @ Google Play

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Hi meanmaths

Look at this one:http://www.mathisfunforum.com/viewtopic.php?id=19273. You might find it interesting.

Here lies the reader who will never open this book. He is forever dead.

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Hi stefy

I read all the thread (except the hidden parts). Some bits were quite funny :-d

My take:

1) This chain is not really for puzzles that seem so hard :-) so when I said, "any puzzle will do", it should not be believed

2) The warning message accompanying the puzzle is just too convincing. I'm already late for too many things and I don't

really feel like coding to solve the puzzle [I have saved the pdf though. I may try to do it manually some day]

Number Splitter #1

GameMaster of Mean Sumurai @ Google Play

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,507

Hm, so have you read the puzzle itself?

Here lies the reader who will never open this book. He is forever dead.

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

well, I just did. Funny stuff. Great headache material :-D.

(English is actually my third language, so the pain was possibly greater than "intended").

I see your point now about having seen "less understandable" puzzles.

Note that I sometimes do this kind of things too (making all sorts of factual but

arguably pointless connections between this and that) but that puzzle is a masterpiece.

*Last edited by meanmaths (2013-08-23 05:20:20)*

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

I would add that the puzzle actually has some similarities with Mean Sumurai. And I could see also on the "Add 13" thread that bobbym was splitting numbers long before I joined the forum.

So, bobbym, if you have an Android, there is a new Mode Arena that you could like. I would like to see how you fare against games that I (or Jess Chua, a player that may be better than me at my own game) solved and uploaded.

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GameMaster of Mean Sumurai @ Google Play

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,233

Hi;

The 13 game gets much more complicated when phrontister and I play it. When he is not involved I go with the idea of simplicity and leave out the more extreme possibilities.

I do not have an android but would not have offered much competition anyway.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**meanmaths****Member**- Registered: 2013-08-01
- Posts: 51

Hi bobby

I actually do the opposite for the 13 game (I always try to give the simplest answer).

About the number splitting thing, I believe a master Jedi such as Yoda ;-) would have made,

at the very least, a great Sumurai.

Best

[A million and one things. Will be somewhat "rare" these days]

Number Splitter #1

GameMaster of Mean Sumurai @ Google Play

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,233

Yoda is a little bit passed it. Maybe 500 years ago he was the man ( the frog ) now he is pretty much running on fumes.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

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