Page 2066 of 2379

### Re: Count to a Million

Posted: Sun May 20, 2018 10:30 pm UTC
82601
Another Century!

Aww! Crap!
Tree??

Whine...! Why wasn't it MaMa Bear!

### Re: Count to a Million

Posted: Sun May 20, 2018 10:43 pm UTC
82602

There's always the next page-topper! Let's hurry!

### Re: Count to a Million

Posted: Sun May 20, 2018 10:59 pm UTC
82603
Okay!

### Re: Count to a Million

Posted: Sun May 20, 2018 11:10 pm UTC
82604

### Re: Count to a Million

Posted: Sun May 20, 2018 11:16 pm UTC
82605

### Re: Count to a Million

Posted: Sun May 20, 2018 11:22 pm UTC
82606

### Re: Count to a Million

Posted: Sun May 20, 2018 11:28 pm UTC
82607
We'll be there in No Time.

### Re: Count to a Million

Posted: Sun May 20, 2018 11:48 pm UTC
82608

### Re: Count to a Million

Posted: Sun May 20, 2018 11:57 pm UTC
82609

### Re: Count to a Million

Posted: Sun May 20, 2018 11:58 pm UTC
82610

### Re: Count to a Million

Posted: Sun May 20, 2018 11:59 pm UTC
82611

### Re: Count to a Million

Posted: Mon May 21, 2018 12:00 am UTC
82612

### Re: Count to a Million

Posted: Mon May 21, 2018 12:03 am UTC
82613

cyanyoshi wrote:There are 900 six-digit palindromes, since there are 9 choices for the first digit (1-9), and ten choices for the second and third digits. The last three digits are uniquely determined from the first three. As for the rest of the five-digit numbers, there’s 82628, 82728, … 99899, and 99999. So the number of five digit palindromes left to go is 999-826+1=174.

All in all, there are 1074 more palindromes left until a million.
This is cool to know! Thanks!

### Re: Count to a Million

Posted: Mon May 21, 2018 12:20 am UTC
82614
Seven!
Do you understand Why?

### Re: Count to a Million

Posted: Mon May 21, 2018 3:25 am UTC
82615

Do I understand why what?

### Re: Count to a Million

Posted: Mon May 21, 2018 3:27 am UTC
82616
Why the number of Palindrome is so low.

### Re: Count to a Million

Posted: Mon May 21, 2018 3:30 am UTC
82617
fix'd
Oh, yes. Yes I do.

### Re: Count to a Million

Posted: Mon May 21, 2018 4:01 am UTC
82618
So funny.
You are Thinking so hard, you forgot to count!

### Re: Count to a Million

Posted: Mon May 21, 2018 4:04 am UTC
82619

Oops! I thought I had... *thinks even harder*

I meant to, anyway! LOL

### Re: Count to a Million

Posted: Mon May 21, 2018 4:14 am UTC
82620

My calculations are, as usual, less elegant than cyanyoshi's, but they provide another way of looking at why palindromes become less frequent as we approach one million:

Spoiler:
The single-digit numbers were all palindromes: 1, 2, 3, ..., 7, 8, 9. There were 9 of those, rather than 10, because 0 couldn't be used as a single digit in counting.
The two-digit numbers had one palindrome per decade: 11, 22, 33, ..., 77, 88, 99. There were 9 of those, rather than 10, because 0 couldn't be used as an initial digit in counting.
The three-digit numbers also had one palindrome per decade. 101, 111, 121, ..., 979, 989, 999. There were 10 of those for each of the 9 possible starting digits, because 0 could now start to appear in palindromes (as a middle digit). 10 x 9 = 90.
The four-digit numbers had one palindrome per century: 1001, 1111, 1221, ..., 9779, 9889, 9999. There were 10 of those for each of the 9 possible starting digits, because 0 could be used as a middle digit. 10 x 9 = 90.
The five-digit numbers also had/will have one palindrome per century: 10001, 10101, 10201, ..., 99799, 99899, 99999). There have been/will be 100 of those for each of the 9 possible starting digits. 100 x 9 = 900.
The six-digit numbers will have one palindrome per millennium (100001, 101101, 102201, ...997799, 998899, 999999). There will be 100 of those for each of the 9 possible starting digits. 100 x 9 = 900.

Total palindromes between 1 and 1000000 = 9 + 9 + 90 + 90 + 900 + 900 = 1998.
Total palindromes already encountered (i.e., between 1 and 82628) = 9 + 9 + 90 + 90 + 726 = 924
Total palindromes yet to go (i.e., between 82728 and 1000000) = 174 + 900 = 1074

### Re: Count to a Million

Posted: Mon May 21, 2018 4:45 am UTC
82621
*Bows deeply*
It's so nice to have you around.

### Re: Count to a Million

Posted: Mon May 21, 2018 4:58 am UTC
82622

### Re: Count to a Million

Posted: Mon May 21, 2018 5:00 am UTC
82623
Your explanation was easy to follow.
Yoshi's was a valid proof!

### Re: Count to a Million

Posted: Mon May 21, 2018 5:20 am UTC
82624

Speaking of palindromes... incoming in 4.

### Re: Count to a Million

Posted: Mon May 21, 2018 5:34 am UTC
82625
You are Up!

### Re: Count to a Million

Posted: Mon May 21, 2018 5:35 am UTC
82626

### Re: Count to a Million

Posted: Mon May 21, 2018 5:43 am UTC
82627

Next poster is one lucky poster.

### Re: Count to a Million

Posted: Mon May 21, 2018 5:50 am UTC
82628

It me

### Re: Count to a Million

Posted: Mon May 21, 2018 6:13 am UTC
82629
Seven is a Lucky Number!

### Re: Count to a Million

Posted: Mon May 21, 2018 6:13 am UTC
82630
Seven is a Lucky Number!

Oops a Glitch in the Tubes.

### Re: Count to a Million

Posted: Mon May 21, 2018 6:53 am UTC
82631

### Re: Count to a Million

Posted: Mon May 21, 2018 6:58 am UTC
82632
Tanks Birdie.

### Re: Count to a Million

Posted: Mon May 21, 2018 7:24 am UTC
82633

### Re: Count to a Million

Posted: Mon May 21, 2018 9:05 am UTC
82634

### Re: Count to a Million

Posted: Mon May 21, 2018 12:33 pm UTC
82635

### Re: Count to a Million

Posted: Mon May 21, 2018 12:34 pm UTC
82636

### Re: Count to a Million

Posted: Mon May 21, 2018 12:35 pm UTC
82637

### Re: Count to a Million

Posted: Mon May 21, 2018 1:04 pm UTC
82638

### Re: Count to a Million

Posted: Mon May 21, 2018 1:05 pm UTC
82639

### Re: Count to a Million

Posted: Mon May 21, 2018 3:01 pm UTC
82640