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Mersenne prime number guide

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 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.

                        887

             262  -- 486--609     

                        232

Zoozie's avatar - back

Thanks!  Where can we find a copy of this whole guide?

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thanks - will try.

emilyg's avatar - cat anm.gif

googled - read - totally lost

Zoozie's avatar - back

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.  :)

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  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.

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 Here is another quirk from the Fibonacci numbers regarding prime

The known Fibonacci primes are un with

n = 3, 4, 5, 7, 11, 13, 17, 23, 29, 43, 47, 83, 131, 137, 359, 431, 433, 449, 509, 569, 571, 2971, 4723, 5387, 9311, 9677, 14431, 25561, 30757, 35999, and 81839

first Fibonacci numbers which form primes when their digits are reversed are:

3, 4, 5, 7, 9, 14, 17, 21, 25, 26, 65, 98, 175, 191, 382, 497, 653, 1577, 1942, 1958, 2405, 4246, 4878, 5367

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

Raven62's avatar - binary

At this point it seems like some undeveloped ideas which may or may not pan out as a way to pick Lottery Numbers.

 

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 Here is another quirk from the Fibonacci numbers regarding prime

The known Fibonacci primes are un with

n = 3, 4, 5, 7, 11, 13, 17, 23, 29, 43, 47, 83, 131, 137, 359, 431, 433, 449, 509, 569, 571, 2971, 4723, 5387, 9311, 9677, 14431, 25561, 30757, 35999, and 81839

first Fibonacci numbers which form primes when their digits are reversed are:

3, 4, 5, 7, 9, 14, 17, 21, 25, 26, 65, 98, 175, 191, 382, 497, 653, 1577, 1942, 1958, 2405, 4246, 4878, 5367

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.

 

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A Fibonacciprime, as you should easily guess, is a Fibonacci number that is prime.  Recall that the Fibonacci numbers can be defined as follows: u1 = u2 = 1 and un+1 = un + un-1 (n > 2).

It is easy to show that undividesunm (see primitive part of a Fibonacci number), so for un to be a prime, the subscript must either be 4 (because u2=1) or a prime. 

A few folks have asked "what if we reverse the digits of the Fibonacci numbers?" For example, u7=13, and if we reverse these digits we get 31 which is also prime (so u7 is a reversable prime).  The first Fibonacci numbers which form primes when their digits are reversed are:

3, 4, 5, 7, 9, 14, 17, 21, 25, 26, 65, 98, 175, 191, 382, 497, 653, 1577, 1942, 1958, 2405, 4246, 4878, 5367
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read it again it - when those numbers are reversed they form Primes    382  is now  283    1942  is 2491  get it

Raven62's avatar - binary
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.

All 376 Smith numbers below 10000 are:

004, 022, 027, 058, 085, 094, 121, 166, 202, 265, 274, 319, 346, 355,
378, 382, 391, 438, 454, 483, 517, 526, 535, 562, 576, 588, 627, 634,
636, 645, 648, 654, 663, 666, 690, 706, 728, 729, 762, 778, 825, 852,
861, 895, 913, 915, 922, 958, 985,

1086, 1111, 1165, 1219, 1255, 1282, 1284, 1376, 1449, 1507, 1581, 1626,
1633, 1642, 1678, 1736, 1755, 1776, 1795, 1822, 1842, 1858, 1872, 1881,
1894, 1903, 1908, 1921, 1935, 1952, 1962, 1966, 2038, 2067, 2079, 2155,
2173, 2182, 2218, 2227, 2265, 2286, 2326, 2362, 2366, 2373, 2409, 2434,
2461, 2475, 2484, 2515, 2556, 2576, 2578, 2583, 2605, 2614, 2679, 2688,
2722, 2745, 2751, 2785, 2839, 2888, 2902, 2911, 2934, 2944, 2958, 2964,
2965, 2970, 2974, 3046, 3091, 3138, 3168, 3174, 3226, 3246, 3258, 3294,
3345, 3366, 3390, 3442, 3505, 3564, 3595, 3615, 3622, 3649, 3663, 3690,
3694, 3802, 3852, 3864, 3865, 3930, 3946, 3973, 4054, 4126, 4162, 4173,
4185, 4189, 4191, 4198, 4209, 4279, 4306, 4369, 4414, 4428, 4464, 4472,
4557, 4592, 4594, 4702, 4743, 4765, 4788, 4794, 4832, 4855, 4880, 4918,
4954, 4959, 4960, 4974, 4981, 5062, 5071, 5088, 5098, 5172, 5242, 5248,
5253, 5269, 5298, 5305, 5386, 5388, 5397, 5422, 5458, 5485, 5526, 5539,
5602, 5638, 5642, 5674, 5772, 5818, 5854, 5874, 5915, 5926, 5935, 5936,
5946, 5998, 6036, 6054, 6084, 6096, 6115, 6171, 6178, 6187, 6188, 6252,
6259, 6295, 6315, 6344, 6385, 6439, 6457, 6502, 6531, 6567, 6583, 6585,
6603, 6684, 6693, 6702, 6718, 6760, 6816, 6835, 6855, 6880, 6934, 6981,
7026, 7051, 7062, 7068, 7078, 7089, 7119, 7136, 7186, 7195, 7227, 7249,
7287, 7339, 7402, 7438, 7447, 7465, 7503, 7627, 7674, 7683, 7695, 7712,
7726, 7762, 7764, 7782, 7784, 7809, 7824, 7834, 7915, 7952, 7978, 8005,
8014, 8023, 8073, 8077, 8095, 8149, 8154, 8158, 8185, 8196, 8253, 8257,
8277, 8307, 8347, 8372, 8412, 8421, 8466, 8518, 8545, 8568, 8628, 8653,
8680, 8736, 8754, 8766, 8790, 8792, 8851, 8864, 8874, 8883, 8901, 8914,
9015, 9031, 9036, 9094, 9166, 9184, 9193, 9229, 9274, 9276, 9285, 9294,
9296, 9301, 9330, 9346, 9355, 9382, 9386, 9387, 9396, 9414, 9427, 9483,
9522, 9535, 9571, 9598, 9633, 9634, 9639, 9648, 9657, 9684, 9708, 9717,
9735, 9742, 9760, 9778, 9840, 9843, 9849, 9861, 9880, 9895, 9924, 9942,
9968, 9975, 9985.

Note that the Beast number 666 is also a Smith Number.


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You said:

A few folks have asked "what if we reverse the digits of the Fibonacci numbers?" For example, u7=13, and if we reverse these digits we get 31 which is also prime (so u7 is a reversable prime).  The first Fibonacci numbers which form primes when their digits are reversed are:

3, 4, 5, 7, 9, 14, 17, 21, 25, 26, 65, 98, 175, 191, 382, 497, 653, 1577, 1942, 1958, 2405, 4246, 4878, 5367
I have highlighted the numbers that can NOT be prime when reversed, because they are even when reversed.
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 Of course not all the digits of the Fibonacci will be prime    so it should have read when some of the fibonacci numbers are reversed  they  are  prime.

666 is a palindrome and a very interesting number too

The sum of the squares of the first seven prime numbers: 22 + 32 + 52 + 72 + 112 + 132 + 172 = 666.

666 is the sum of two consecutive palindromic primes.

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


That  Smith List yields some interesting Pick 4 possiblities

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Today's Midday in SC was 059 (I had it straight).  Now there is a true prime number!!

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