CHICAGO United States Member #28557 December 18, 2005 111 Posts Offline

Posted: January 5, 2006, 3:47 pm - IP Logged

Here is new way to find that Pick3 Go to the Mersenne prime Number 2^3217-1 find yesterdays number 486 make a matrix of the the numbers around it in this case 887 262 232 609 and see if you are connected to todays winner.

South Fort Myers United States Member #26835 November 23, 2005 454 Posts Offline

Posted: January 5, 2006, 11:58 pm - IP Logged

Me, too Emily. I also googled and read - totally made my hair stand up. I'm not good with square roots, etc. on mathematics. I searched for awhile today looking for the actual guide... guess we will just have to wait for Ann to give us a clue. :)

Zoozie

"Whatever the mind can conceive and believe, it can achieve" Napoleon Hill

CHICAGO United States Member #28557 December 18, 2005 111 Posts Offline

Posted: January 6, 2006, 10:49 am - IP Logged

Look up Prime numbers and you will see the guide- choose a guide that has at least 969 numbers or larger. Many of the numbers are on there but how they are connected- how doea the path lead from one to another I am still researching- Try the Fibonaaci primes and see if you can link a connection.

Leonardo Fibonacci was an Italian mathematician with a penchant for decimalization and rabbits! Having introduced the numbers 0 to 9 to Europe (like some medieval Big Bird from Sesame Street), he turned his attention to a different series of numbers:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55......

The Fibonacci sequence is generated by adding the previous two numbers in the list together to form the next and so on and so on... Fibonacci's Midas touch may have given mathematicians the blueprint for Mother Nature herself.

175 has fallen 135 times within the US. a very large number of times and it is a reversed Fibonacci number- I just begun to research thses patterns.

Those numbers listed are primes and still primes after they are reversed. Very Intersting- kinda like those palindromes

Prime numbers are numbers that can only be divided evenly by themselves or one. Therefore, all the even numbers shown can not be primes since they can be divided evenly by two.

CHICAGO United States Member #28557 December 18, 2005 111 Posts Offline

Posted: January 6, 2006, 12:59 pm - IP Logged

A Fibonacciprime, as you should easily guess, is a Fibonacci number that is prime. Recall that the Fibonacci numbers can be defined as follows: u_{1} = u_{2} = 1 and u_{n+1} = u_{n} + u_{n-1} (n > 2).

It is easy to show that u_{n}dividesu_{nm} (see primitive part of a Fibonacci number), so for u_{n} to be a prime, the subscript must either be 4 (because u_{2}=1) or a prime.

A few folks have asked "what if we reverse the digits of the Fibonacci numbers?" For example, u_{7}=13, and if we reverse these digits we get 31 which is also prime (so u_{7} is a reversable prime). The first Fibonacci numbers which form primes when their digits are reversed are:

New Jersey United States Member #17843 June 28, 2005 49642 Posts Offline

Posted: January 6, 2006, 1:14 pm - IP Logged

A composite integer N whose digit sum S(N) is equal to the sum of the digits of its prime factors Sp (N) is called a Smith number [17].

For example 85 is a Smith number because digit sum of 85 (i.e. S(85) = 8 + 5=13), which is equal to the sum of the digits of its prime factors i.e. Sp (85) = Sp (17 x 5) = 1 + 7 + 5 = 13.

Albert Wilansky named Smith numbers from his brother-in-law Herald Smith's telephone number 4937775 with this property

(i.e. 4937775 = 3.5.5.65837)

Since

4+9+3+7+7+7+5=3+5+5+(6+5+8+3+7)=42

Wilansky also mentioned two other numbers with this property (i.e. 9985 and 6036). Wilansky has found that there are 360 Smith numbers less than 10000, which is not correct, as there are 376 Smith numbers less then 10000. It is now known that there are infinitely many Smith numbers [2].

There are 25154060 smith numbers below 109[4]. Further computations reveal that there are 241882509 smith numbers below 1010.

Poway CA (San Diego County) United States Member #3489 January 25, 2004 14120 Posts Offline

Posted: January 6, 2006, 1:16 pm - IP Logged

You said:

A few folks have asked "what if we reverse the digits of the Fibonacci numbers?" For example, u_{7}=13, and if we reverse these digits we get 31 which is also prime (so u_{7} is a reversable prime). The first Fibonacci numbers which form primes when their digits are reversed are:

(6x6x6)= 47 is the only prime number p such that the sum of the digits of 666^{p} is equal to 666. If we define S(n) as the sum of the digits of n, we can write that S(666^{π(6x6x6)}) = 666. [Capelle]

That Smith List yields some interesting Pick 4 possiblities