Pink Poogle Toy Forum

1. Is the sum of the individual digits of the number, a prime number?

2. If this sum is a prime number, are the sum of the digits of that sum, also a prime number?

Do these numbers have any special significance to any sect/group?

Does this mean I win? I wasn't trying to "cheat" ... I thought the point was to figure out the number.



Thanks. Logic puzzles are fun.

Sorry I ruined everyone's fun.

Is the number 9365?

Yes and yes.



They're significant to me, but not to anyone else.



Nope. Sorry

7895?

xD

-didn't look through the what we had so far when making that guess, lol-

Nope.

Is the number 9785 ?

Since everyone is too afraid to ask, is the number divisible by any of the Lost numbers (5 8 15 16 23 42)?

Is the number 9305?

Actually the numbers are 4 8 15 16 23 42, but no.

The number has not been guessed yet. (though it MAY have been mentioned)

Is the number 9365?

(it was the only one of the three numbers that I had on my list that was previously mentioned so it's the obvious guess)

If it isn't the about number I ask the following 2 questions to help others
Do the middle two numbers add up to a prime number?
Do any pair of numbers add up to another number included in it?

1.The number is an integer
2.The number is not prime
3.The number is not even
4.The number is not under 5000
5.The number is divisible by another four-digit number
6.The number is between 7500-10000
7.The number is not divisible by 3 or 7
*************************************************
8.
Is the first digit a prime number? No
Is it even? No

Is the second digit prime? Yes
Is it even? No

Is the third digit prime? No
Even? Yes
**************************************************
So far:

Xena got it down to six numbers whereas I got it down to 5 numbers (9705 is divisible by three)
My numbers were:
9305
9365
9385
9745
9785
then these questions were asked and answered:
*******************************************************
9.
Within its prime factors; are any numbers repeated?
(e.g. 5619 = 1873 x 3. 3 is repeated. 3891 = 3 x 1297. No numbers are repeated?) no

Does the number contain a 7? maybe
******************************************************
10.
Does it contain the number 9? Yes

Is the last number prime? Yes
*****************************************************
Prime Factors ------ Number -- Sum of digits -- Sum of(sum of digits)
5.............. 1861........ 9305........... 17............ 8
5.............. 1873........ 9365........ 23............ 5
5.............. 1877........ 9385........ 25............ 7
5.............. 1949........ 9745........ 25............ 7
5*19*103. 1957........ 9785........ 29............ 11

So I asked the following:
******************************************************
11. Is the sum of the individual digits of the number, a prime number? YES

********************************************************

The following numbers are ruled OUT: (reason given by question number)

Prime Factors ------ Number -- Sum of digits -- Sum of(sum of digits)
5.......... 1877........ 9385........ 25............ 7.......... (#11)
5............. 1949........ 9745......... 25............ 7.......... (#11)
5*19*103. 1957........ 9785........ 29............ 11.......... (#9)
***********************************************************
12. If this sum is a prime number, are the sum of the digits of that sum, also a prime number? YES
Prime Factors ------ Number -- Sum of digits -- Sum of(sum of digits)
5.............. 1861........ 9305........ 17............ 8
5.............. 1873........ 9365........ 23............ 5
***********************************************************
MY Guess the Number Answer is 9365



Cannot see where in my calculations that 9365 is incorrect *shrug*

Afterward, I realized my 6th number was divisible by 3 (I didn't know if one should conisder "0" to be even ... so my list was originally 4 numbers ... ). doh.



I actually read this question to mean this. For instance, 75 = 3 * 5 * 5 ... the 5 was repeated. So I didn't cross off any of the numbers.



With my reading of question #9, this made 9785 still a viable option. Which is why I guess it as a "single guess" several posts back.



This was the other option. I thought it would be right as well. When it was wrong, I was sure my 9785 guess was right.

You are correct! Good job, everyone, and especially X&G.