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5. 2222 Days of Learning

# 2222 Days of Learning

• 2294

D'abord, j'ai commencé par apprendre le français, pour aucune raison à part le fait que c'est une langue très cool.

마지막으로 한국 문화와 사람과 사랑에 빠졌으니 한국어 공부를 시작했다.

Anyway, no life lessons here, just thought 2222 was a cool number. Keep studying and don't let Duo murder you in your sleep.

That’s all folks.

August 2, 2019

Is 2222 interesting?

Hmm, well it factors to 2 x 11 x 101. That means the sum of every prime factor's individual digits is exactly 2. What else? The last two numbers, taken in binary, are 3 and 5. 2, 3, and 5 are one of only two prime triples separated by less than 2 each. It's not the sum of 2 squares, because 11 mod 4 is 3, but it is the sum of twelve different triples of integers: (1, 14, 45), (21, 25, 34), (7, 18, 43), (5, 9, 46), (19, 30, 31), (5, 26, 39), (13, 17, 42), (6, 31, 35), (15, 29, 34), (7, 27, 38), (10, 21, 41), (18, 23, 37).

2222 is trivially palindromic, so that's not too interesting, but if you take its two prime factors > 2, and multiply 2222 by that, (2 x 11 x 101 x 11 x 101), you get a great palindromic number: 2468642, which is the largest ascending then descending palindromic number with all even digits.

I guess it is a pretty cool number. Keep it up!

[edited to change asterisks to x's, as asterisks seem to be a a markup symbol here)

August 2, 2019

also it looks like four swans swimming in a row

August 2, 2019

nice one

August 4, 2019

I can't resist. I love palindromes and have a whole book of them. The title: I love me vol. 1.

And yes, I'm in awe of a 6-year streak.

August 2, 2019

6*9+6+9=69 there's one to say to people

August 4, 2019

nice

August 4, 2019

69 is a number i saw somewhere mmmmm where could it be
Yea you know what i mean now

August 5, 2019

Wow! you are really good at math (Or whatever that was LOL)

August 2, 2019

MIsspent youth. Before we had phones to stare at during awkward silent moments during shared lunches in college, we'd come up with games like "Why is X an interesting number?", and everyone would need to think about it for a while. 1729 is a famous example.

Oh, thinking of that, it's also the highway in Austin that one of my best friends lived on when I was at UT! Back in the 80s, traffic was far less than now and you could drive really fast on it.

August 2, 2019

Well spent youth! Is it only the highway or can we have the famous 1729 breakdown please.....really enjoyed your non duo brain stretch of 2222.

August 2, 2019

Taxicab number

While you're at it, also have a look at the Interesting number paradox

August 2, 2019

@jairapetyan For a number, N, to be the sum of two cubes, there must be an number, x, and another number, y, such that N = x^3 + y^3 (the "^" character means "to the power of" since I don't think I can use superscripts here)
In the case of 1729,
1729 = 1^3 + 12^3 and
1729 = 9^3 + 10^3
So, there are two different sums of cubes that equal 1729. The statement about it being the smallest means there isn't a number smaller than 1729 for which you can find two different equations N = x^3 + y^3.

There is a caveat: 1729 is only the smallest such number if you restrict x and y to be positive numbers, because
91 = 6^3 + (−5)^3 and
91 = 4^3 + 3^3

August 3, 2019

Can you explain what is meant by "the smallest number that is the sum of two cubes in two different ways?" This is very interesting!

August 2, 2019

I just love how many nerds are on this site. I feel at home among all these people collectively avoiding the wrath of Duo.

August 3, 2019

I love where we end up sometimes....came to do my duo and now off on an interesting tangent Thankyou.. T

August 2, 2019

Of course some may argue that "X" is actually an interesting letter rather than an interesting number ... which it is: For example, it's the 24th letter in the alphabet, 24 equalling the factorial of 2 to the power of itself. Furthermore, it's one of the only two letters of the alphabet that look alike from all four sides. Not to mention that it looks like two swans in a failed attempt at Kamasutra ...

August 3, 2019

Hm Allen, that motivates me to do that too. Even though I don't carry my phone around, I'm gonna try discussing why "X" is an interesting number. Seems fun (but only if my friends are willing to get their eyes off their screens)

August 2, 2019

test

August 3, 2019

test

August 3, 2019

• 2294

Well, I was thinking more about the "four swans" thing, but that's cool too! I guess I'll make another post once I hit a 2468642 days streak...

August 2, 2019

I guess I'll make another post once I hit a 2468642 days streak...

Well, if you ever reach that streak, drinks are on me. ಠ‿↼
(That's over 6763 years, so...)

But you have reached an inspiring beautiful number.
Chapeau!

August 3, 2019

how to do that thing with respect?

August 3, 2019

Type the following:

![](Put The Wanted Image URL Here)

Just make sure you use an image with small enough pixel size, otherwise it will fill most of the screen...

August 3, 2019

Mod
• 250

What a great response Gh0stwheel

People may also like to check out [GUIDE] How do I post Images ? : The basics
And associated posts like :
text faces
and Duo Emoji

Also [GUIDE] images - How to make them smaller Including other links that those posts refer to.

August 3, 2019

@daKanga Thanks!
An even better response would have been to link to your invaluable guides.
(Next time...)
+
As a token of my appreciation.
After all, your guides are how I've learned to format here...

August 3, 2019

Formula for numbers whose digits sum is two: https://oeis.org/A052216

All palindromes in base 10: https://oeis.org/A002113

August 2, 2019

Oh, I love oeis.org! Not something I go to frequently, but every now and then I get a project euler bug and work on a bunch of problems there.

August 2, 2019

I think every number can be made interesting if you put enough effort to explain it like this :D Although, still have to give you a kudos for this!

August 3, 2019

here's a lingot

August 4, 2019

test

August 3, 2019

b

August 2, 2019

Wow! Funny but I came across this post exactly 22 minutes after it got posted. I wonder...

August 2, 2019

HAHAHA THat's great! :D Very cool! LOL

August 2, 2019

Mod
• 250

## 축하해

Thank you for being inspiring !

Also to mention, also as a means of celibration, this post is highlighted here : [GUIDE] Avatar rings and Global Ambassadors.

August 2, 2019

Mod
• 250

Also, erudis I LOVE the little flags you have used in your post.

Do you have more in the suite, up in imgur ?

August 2, 2019

• 2294

Nah, but I got them from here and just rehosted on imgur. It's the rounded rectangle version in 24px.

August 2, 2019

Mod
• 250

Yeah ! Thanks for that :D

It is a good resource, and I am also glad we are crediting them - Icons made by Freepik from www.flaticon.com is licensed by CC 3.0 BY . Also as I did not know about this resource.
Thanks for all you do that makes our community richer, and that is substantial.

August 3, 2019

Erudis. What a great number. Well done!!

August 2, 2019

just thought 2222 was a cool number.

I agree, that is cool and very impressive. Congrats!

August 2, 2019

I would give you 222 lingots but I only have 221 so here's 22 to make up for it :3

August 2, 2019

• 2294

Well, I have 27k lingots, so here's 222 to make up for it.

August 2, 2019

Congratulations!

August 2, 2019

Finally there is someone who loves languages and the poetry of numbers. Can't wait to see your 3333 days streak :)

Congratulations, you rarely see someone with more than 2000 days of owl watching under his belt.

August 2, 2019

August 2, 2019

• 2294

Like the jazz lingo or actual cats?

August 2, 2019

attracting felicitations, those are kind of feline, aren't they?

August 3, 2019

A little correction for your Chinese sentence, hopefully some other native speakers can tell me if its correct. 後來我開始學習中文，因為喜歡挑戰，也喜歡台灣香港和中國電影。

August 3, 2019

• 2294

I had it, then decided to remove it cause I thought it was redundant, but I don't know if I can omit the subject as much as you do in Korean, for example, so a correction is definitely welcome.

August 3, 2019

It's better to keep it, it is not accurate Chinese without it. Anyway was drawn here by the number thingi and the memes, nice work!

August 3, 2019

Congratulations! Here are 2 lingots for you!

August 2, 2019

2222 is a good number. Enhorabuena!

August 2, 2019

LOL! That is awesome! I only have an 18 day streak :( XD

August 2, 2019

Felicitations ! :)

August 2, 2019

August 2, 2019

The first page of results in searching this number revealed interesting information from some kind of psychic medium. For what it's worth, it was said that 2222 is a message from your angel to keep the faith. Trust that everything will work out. Now, I have never seen an angel, for all I know they are smacking me on my head to get my attention, but the message in a general sense is not bad. Ancient peoples have said same thing in so many words.

August 2, 2019

Was wondering what Songve, Duo's famous mathematician had to say about this - not the answer I would have expected! However, it does sound a very auspicious number. Well done erudis!

August 3, 2019

That's 2 much! It's 2 interesting. I hope 2 do that one day 2. I gave a lingot 2 you!

August 3, 2019

LOL! here's a lingot!

August 3, 2019

toutes nos félicitations !

August 2, 2019

How???

August 2, 2019

• 2294

August 2, 2019

This is a rather good gif. Did you make it yourself, or did you find it online?

August 2, 2019

• 2294

I did, based on this gif and this meme.

August 2, 2019

Mod
• 250

How did you locate :
Are there other duolingo gif s that you know of ?

August 3, 2019

Mod
• 250

ohhhh ohhhhhhhh

While hunting around I found:

August 3, 2019

• 2294

I found it here. These are the only gifs I know of, unfortunately.

August 3, 2019

Mod
• 250

Thank you also for this feedback, again, erudis. The finding the Duo crying gif - was also a "once off" find somewhere on the internet - and I did not record where I got the link from for that.
I accidentally stumbled across it and thought others here might also be interested.

Also, just to mention, I have also taken a copy of these links to [Guide] Duolingo Emoji Again - just in case anyone else is interested.

August 3, 2019

See https://me.me/s/duolingo (similar can be found there)

August 2, 2019

good job keep learning.

August 2, 2019

Wow! Congratulations on an impressive streak - may it continue as long as you wish. :)

August 2, 2019

Congratulations, keep up the good work.

August 2, 2019

2222 is the crash call number in UK hospitals - pretty cool!

August 2, 2019

Félicitations!

August 2, 2019

2222 is a cool number

August 3, 2019

Yeouch, now you can't let that go. The amount of sudden events that have to happen to prevent this streak from going any further have to be a swarm of bees in a conga line.

August 2, 2019

Wow! Congratulations, bro! Keep up the heat.

August 2, 2019

i geniales empleo ! :)

August 2, 2019

August 2, 2019

:)

August 2, 2019

Congratulations!

August 2, 2019

Nice work

August 2, 2019

Congratulations!

August 2, 2019

Nice job! Keep going!

August 2, 2019

Félicitations !

August 2, 2019

Bien joué l'ami !

August 2, 2019

thanks for that

August 2, 2019

August 2, 2019

How do you know how many days of learning you've had?

August 2, 2019

Duolingo shows this strike time. You can find the "fire" icon in both the Phone App or in the web session.

August 2, 2019

Congratulations!

That is amazing!

August 2, 2019

WTF

August 2, 2019

Félicitations ! C'est super !

August 2, 2019

You are studying nonstop for 6 years? This is amazing!

August 2, 2019

• 2294

Well, sometimes I take a bathroom break.

August 2, 2019

Nice achievement in French (60k+)

August 2, 2019

Congratulations man. Amazing job you did there.

August 2, 2019

Congrats on your 2222 days! I''m nearly there myself ;)

ps- What is an insider?

August 2, 2019

• 2294

It's not the size of the streak, but how big is your cœur.

An insider is nothing special, just this.

August 2, 2019

thanks, I needed that. (i've been practising for a year, and I still have a bit of a hard time with all I have to do each day. [anyone with a job will understand this])

August 3, 2019

Nice going! Makes me wonder if there is a leaderboard for days on streak/lingots/crowns?

August 2, 2019

@AllenTaylo13 Quick Maths!!! I Also Didn't Understand Any Of That, Whenever I See Numbers I Get Bored Almost Instantly

August 3, 2019

I don't get it

August 3, 2019

Parabens

August 3, 2019

Félicitations, c'est impressionnant!!

August 3, 2019

Very Good

August 3, 2019

Nice

August 3, 2019

Wow, that's great!

August 6, 2019

Nice number of course, these days I was trying to learn Hangul but for god sake... I can't memorize alphabets anymore after learning 2 useless kanas, I remember how happy I was when I memorized Hiragana and Katakana now I know that that was in vain. xD Japanese language apart from being difficult it is also nonsensical sometimes, I hope you're enjoying studying Korean and Chinese.

August 7, 2019

a

August 2, 2019

Over 6 years -- wow! That's impressive. Congrats. :)

August 3, 2019

Yes... Duolingo can be addictive... well done!

August 3, 2019

Cool i'm only learning for 841 days i wish i started 10 years earlier.

August 3, 2019

Take a bow man!!!!

August 3, 2019

Wowzer!

August 3, 2019

Interesting indeed

August 3, 2019

I think if there's another update while I'm sleeping it might.

August 3, 2019

August 3, 2019

wow!

August 3, 2019

very cool

August 3, 2019

Totally awesome!

August 4, 2019

I get on every day to complete my streak. I got on this morning and completed my streak. I got on again tonight and it told me I had lost my streak and I had to buy it back. I am so upset

August 4, 2019

Good job, did you intend to attract so may strange people?

August 4, 2019

Great streak, keep up with the good work!

August 4, 2019

KEEP GOING!

August 4, 2019

Wow, congrats man that's so cool.

August 5, 2019

It is awesome that you made it! Keep going! You are an inspiration for us who learns languages :)

August 5, 2019

You have a 6 year streak. Impressive.

August 4, 2019

Polyglot in the house!

August 5, 2019

a

August 5, 2019

a

August 5, 2019

a

August 5, 2019

Kewl

August 5, 2019

Is 2222 interesting?

Hmm, well it factors to 2 x 11 x 101. That means the sum of every prime factor's individual digits is exactly 2. What else? The last two numbers, taken in binary, are 3 and 5. 2, 3, and 5 are one of only two prime triples separated by less than 2 each. It's not the sum of 2 squares, because 11 mod 4 is 3, but it is the sum of twelve different triples of integers: (1, 14, 45), (21, 25, 34), (7, 18, 43), (5, 9, 46), (19, 30, 31), (5, 26, 39), (13, 17, 42), (6, 31, 35), (15, 29, 34), (7, 27, 38), (10, 21, 41), (18, 23, 37).

2222 is trivially palindromic, so that's not too interesting, but if you take its two prime factors > 2, and multiply 2222 by that, (2 x 11 x 101 x 11 x 101), you get a great palindromic number: 2468642, which is the largest ascending then descending palindromic number with all even digits.

I guess it is a pretty cool number. Keep it up!

[edited to change asterisks to x's, as asterisks seem to be a a markup symbol here)

August 2, 2019

Oddly, this comment looks familiar. Like I've seen it someplace before. Peculiar...

August 2, 2019

why'd you have to copy him? just to look smart??? THat's not the way to do things.

August 3, 2019