Post a number with an interesting property

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Nice.

With my preference for exponents, I offer as an alternative

(4!-4)^(4/4)=20

[quote="Rudin"]

So much money is being put in to help under-achievers, so they can reach the government's standard. They rarely think about gifted kids. They usually think that they'll be fine on their own, and that they don't need teachers help. That is often not true. Gifted kids often need more help than kids with learning difficulties.

To create obedient workers obsessed with the banal and incapable of critical thinking.

Though the gifted do all the heavy lifting in SciTech/Maths, etc... no one gives a flying f**k because a small percentage of us thrive despite the deliberate epic-fail of the Education system. Many of us would rise to even greater heights with a little skilled support.


The impressive gifted children on the news are the minority. Thousands of gifted children are not being catered to, and in some cases they are being misdiagnosed with attention disorders because the work doesn't interest them.

you are wise in your perceptions
Personally, I was reading Shakespeare while others were struggling with disyllabic reading. I was bored from K-12 to the point of suicidal ideation, BEFORE the internet and with NO access to anything more than the school library. Imagine it if you will . Now, the gifted can autodidact without limit online, but....it was not always so. A dated physical Encyclopaedia was my only solace. Anyway, that's my problem. Rant over...

I am not sure what I am going to do. The university in my town has a very limited amount of maths courses. I could go to a private/gifted school. My mother and father say it's good to go to secondary school because I could socialize with others and possibly make new friends, but I'm not interested in that. I don't know yet, I should decide quickly.

Private school can be desirable, though not all are created equal. Would considering one of the many distance learning Universities online be a consideration?
Imo, your social needs could be better address amongst your TRUE peers(the other young and gifted) than languishing amongst your age cohort that reside in the middle of the Bell Curve. Your parents(i assume) mean well, BUT they are judging it from an NT perspective. Their social priority is an NT one. It is clearly not your priority, as you have intimated. If possible your individual needs and desires ought to take precedence. It is your education and life after all.

"Private school can be desirable, though not all are created equal. Would considering one of the many distance learning Universities online be a consideration?"

No, there aren't any online phd programs for math, physics, chemistry, linguistics, neurosciences, or computer science. At this point online is generally considered a vocational venue. Capella offers online Phds only of a vocational variety online and is listed as one of the top schools for an online phd.

There should be interesting local options, namely resembling the fields listed above. Physics, chemistry, computer science, languages, and medical training are almost certainly all offered at all respectable universities. Other fields of interest might include engineering, psychology, art and finance.

Math, physics, chemistry and linguistics have all germinated together to give us computer science and if we can properly integrate psychology, neurosciences and a few other details we will produce Artificial Intelligence. These subjects all seem tangential towards the goals of computers and math. Even avoiding study in AI psychology is very helpful for the neurodiverse. Acting classes are also beneficial, I haven't met an asd at work that didn't have some acting background, excepting my own oblivious self, to which I have quickly taken to task.

It is also not possible to graduate with mathematics alone, you must have other studies of certain required amounts in order to achieve a degree.

On peers, I would note that Rudin (sorry to speak in the third person, in company) has the Internet. He has wrongplanet for asd issues and well, a whole bunch of other internet to glean information from. There is open source software and large online classes offered by the likes of Stanford and MIT for free. Plus, the Internet kind of makes regular people sort of autistic. There are patent databases as well as rfcs and free lessons on language. It's all very amazing really.

There is a remote tutoring program through Stanford.

https://giftedandtalented.com/courses?utm_source=epgy&utm_medium=site&utm_campaign=epgypopcourses#kk-portlet-body

I looked for online courses, they seem to don't have many courses beyond calculus and linear algebra.

I also saw clicked the link you sent me. I think it is worth it to take up computer science and physics, those courses seem great. I don't know if my parents would pay though.

A majority of gifted kids don't amount to much. That's really a shame. Contradicting popular belief, gifted children are usually never the next Albert Einstein, so to speak.

I did not say anything getting a PhD via distance learning.
It is a wee bit early to be discussing that.
Many online universities offer BSc or BA in Maths which is the focus at this point.
Once that would be accomplished, Masters programs are likewise avail. online.


...and waaaaay down the road an Online PhD in Maths

http://www.bircham.edu/mathematics.html

Doctorate (Doctor Ph.D. Degree) via distance learning in Mathematics
TOTAL: 45~70 Academic Credits required for this distance learning degree program. Composition: 18 credits for 6 Specialization Courses in Mathematics distance learning higher education + 18 credits that correspond to research methodology and the Thesis. + Some additional online university courses may be selected from other modules in the Faculty of Life & Earth Sciences from Bircham International University if required. This selection must to be approved by the Distance Learning University Education Board.

The distance learning institutions can make up for the weakness in the local offerings.

Even famous child prodigies worked very hard. Alan Turing, Albert Einstein and so on faced several obstacles. You shouldn't let teachers or a dysfunctional school system bring you down. If it's any consolation, you'll probably achieve more in the next ten years than your teachers. There's still plenty in mathematics and cryptography you could specialize in (Fully homomorphic encryption, for instance).

In Scandinavia, there's something called The Law of Jante. If you achieve something (be that a massive bench press, a high IQ, a self-built kit car, etc.) people are going to be envious and will try to bring you down, because they themselves never achieved anything.

Kurgan is wise.
Rudin will out achieve all of his teachers before he is 18...easily
Kurgan is right on the money

Law of Jante... ...cool i had not heard of that....thanks

27 is a good number, it starts with 2 and ends with 7, if you take every number from 2 to 7 they add to twenty seven. 2+3+4+5+6+7=27

153=1^3+5^3+3^3

It is known as a narcissistic number.

Narcissistic numbers, that's funny. 27 is also three times the sum of its digits.

And its three raised to the power of three.

2520

It is divisible by all the numbers from 1 to 10.

Okay, so there are interesting additive properties of digits when multiplying by nines 9*3=27 2+7=9 and there are interesting properties when multiplying elevens by two digit numbers where 11*12 is 1_(1+2)_2 or 132, so the number 11*18=198 is the first number to present both of those properties and its reciprocal is the only even prime number 2. Dividing the reciprocal 198/2 gives us 99 which when the digits are added of course gives us 18 the original multiplier of 11, adding the reciprocal to 18 gives us 20, which 20-11 of course equals 9, not to mention that 1+1=2.

There are a group of primes called the 7^n-2-primes. I don't like that name, so I'll call them the Rudin primes.

13,841,287,199 is a Rudin prime.

In fact, here are positive integers n such that 7^n-2 is prime.

1, 2, 4, 7, 8, 12, 15, 28, 31, 84, 98, 128, 238, 302, 859, 1508, 1586, 2091, 2796, 2888, 3924, 4815, 5636, 6596, 7090, 20176, 22176, 56386, 84050, 115515

It is A090669 on the OEIS.