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#26 2013-01-03 03:06:18
- pellerinb
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Re: Happy 2013
Yes, and I just got a message from one of the authors on the explanation:
"2013 is the smallest number that needs at least six squares to make."
That means that 2013 is the smallest number that *requires* at least six squares to produce. Yes, there are smaller numbers that can be made with six squares. But all of those numbers can also be made with five or fewer squares
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#27 2013-01-03 03:20:22
- bobbym
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Re: Happy 2013
Hi;
It must be one of those that is "subtracted squares of prime numbers," because it is not the sum of six positive squares that are prime. At least I can't find it.
There are two answers for 5
2 x 3^2 + 5^2 + 11^2 + 43^2
2 x 3^2 + 5^2 + 17^2 + 41^2
do they mean different primes?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#28 2013-01-03 05:27:54
- pellerinb
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Re: Happy 2013
I believe so. Otherwise, I suppose there's a way to stuff in a bunch of small 2^2's and 3^2's to fill in the gaps... Can't use any 2^1's though... I believe that's cheat'n 
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#29 2013-01-03 10:24:37
- pellerinb
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Re: Happy 2013
Found it! Seems like 2013 = 47^2-19^2+13^2-2^2
So it can be made up by only 4 prime squares! Cool!
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#30 2013-01-03 12:00:07
- bobbym
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Re: Happy 2013
Something is wrong with their claim then...
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#31 2013-01-03 13:38:21
- Agnishom
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Re: Happy 2013
Is this the article we are talking about?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#32 2013-01-03 13:51:04
- bobbym
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Re: Happy 2013
Hi Agnishom;
It does not mention anything about the sum of 6 prime squares.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#33 2013-01-03 13:59:41
- Agnishom
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Re: Happy 2013
It does. Try to look at the bottom
This one is a little more abstruse. Imagine a game whereby you make numbers by adding or subtracting squares of prime numbers. E.g., 30 = (5 x 5) + (3 x 3) — (2 x 2). 2013 is the smallest number that needs at least six squares to make. (Can you figure them out?)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#34 2013-01-04 00:15:39
- pellerinb
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Re: Happy 2013
True, it might be erroneous but it's worth claiming just for the inspiration!
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#35 2013-01-04 03:53:27
- bobbym
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Re: Happy 2013
Here is one of the sixes they are talking about:
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#36 2013-01-04 04:41:54
- pellerinb
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Re: Happy 2013
The article's comments also have
41^2 + 19^2 - 5^2 - 2^2
43^2 + 17^2 - 11^2 - 2^2
curious if I can pull it off with just three.
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#37 2013-01-04 05:18:26
- pellerinb
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Re: Happy 2013
Interesting that 2013 is composed of four sequential digits: 0, 1, 2 and 3. That hasn't happened since 1432... 581 years ago!
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#38 2013-01-04 05:48:32
- bobbym
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Re: Happy 2013
Obviously there is nothing special about 2013.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#39 2013-01-04 06:07:41
- pellerinb
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Re: Happy 2013
Also interesting is that 2013 to 2015 are consecutive numbers each with unique factors. That happened last in 1885-1887 and happens again in 2665-2667.
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#40 2013-01-04 09:51:35
- noelevans
- Full Member
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Re: Happy 2013
Hi pellerinb!
I don't understand what you mean y "each with unique factors" for the consecutive numbers
(necessarily odd since if even they would have 2 in common). Any two consecutive odd integers
must have no factors in common other than 1 since the difference of the two (larger less smaller)
is 2. This means the only possible common factors are 2 and 1 and certainly 2 is not a common
factor for these odd integers.
Please clarify.
Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).
LaTex is like painting on many strips of paper and then stacking them to see what picture they make.
#41 2013-01-04 23:36:10
- pellerinb
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Re: Happy 2013
Sorry about that. Each triple (2013 to 2015, 1885 to 1887 and 2665 to 2667) has numbers with exactly three distinct prime factors each.
Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
#42 2013-01-05 08:53:04
- noelevans
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Re: Happy 2013
Thanks! So for 2013, 2014 and 2015, 2013=abc, 2014=def, and 2015=ghi where the nine letters
represent nine different prime integers.
Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).
LaTex is like painting on many strips of paper and then stacking them to see what picture they make.
#43 2013-01-26 11:11:58
- n872yt3r
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Re: Happy 2013
This is obvious. Has anyone noticed that 2013 has 0, 1, 2, and 3.
- n872yt3r
Math Is Fun Rocks!
By the power of the exponent, I square and cube you!
#44 2013-03-04 22:48:41
- Agnishom
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Re: Happy 2013
@Bob bundy,
Hasn't a few months passed already? 
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#45 2013-03-05 06:01:27
- bob bundy
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Re: Happy 2013
bobbym wrote:
It only just started, let's give it a chance.
dictionary.com wrote:
few
adjective
1.
not many but more than one:
Obi-Wan Kenobi: Patience!, Luke Skywalker
Bob
Last edited by bob bundy (2013-03-05 06:04:26)
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#46 2013-03-05 13:25:05
- Agnishom
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Re: Happy 2013
Very Well
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#47 2013-05-08 21:23:04
- bob bundy
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Re: Happy 2013
The time is 11.23 GMT. The date is May 8th ’13. Thus: 1 1 2 3 5 8 13
If you are in a later time zone, you still have a chance to enjoy your own Fibonacci minute.
For UK members, who like to put the day before the month, you’ll get another chance to celebrate Fibonacci later in the year.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#48 2013-05-09 03:56:14
- anonimnystefy
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Re: Happy 2013
Happy Fibonacci day. Just a hundred years to the next one!
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#49 2013-05-09 04:13:55
- bobbym
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Re: Happy 2013
What a great day!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#50 2013-05-09 04:52:18
- bob bundy
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Re: Happy 2013
Stefy wrote:
Just a hundred years to the next one!
Not for me! I've got just 89 days to go.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei