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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

79299

The difference (absolute) between the sum of the factors (including repeats) of 79299 and the reverse of that sum is **99**.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

2 x 19^3 + 23^3 + 26^3 + 33^3 = 79398

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

79497

The difference (absolute) between the palindromic answer 79497 and the previous palindromic answer, divided by the difference (absolute) between the post numbers of those two answers, is **99**.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

2 x 137^2 + 143^2 + 147^2 = 79596

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

79695

The sum of the sum of the digits of the sum of the divisors of 79695 and the reverse of the aforementioned 'sum of the digits' = 99

*You can get to 99 with the next number using just two operators, once each. *

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

10^3+11^3+15^3+42^3=79794

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

Hi Bobby,

Here's the 2-operator version I got for 79794:

79893

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

Hi;

That is a good one for 79794!

122^2+123^2+125^2+127^2+135^2=79992

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

Thanks!

80091

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

80289

The sum of the digits of the numbers of the factorization of 80289, plus the reverse of that sum, is **99**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

95^2 + 98^2 + 100^2 + 108^2 + 8^3 + 9^3 + 21^3 + 31^3 = 80388

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

16^3+18^3+20^3+31^3+32^3=80487

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

8^3+9^3+21^3+31^3+95^2+98^2+100^2+108^2=80586

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

8^3+18^3+22^3+29^3+34^3=80685

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

12^3 + 2 x 18^3 + 30^3 + 90^2 +94^2 + 100^2 + 116^2 = 80784

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

Hi Bobby,

Did you know that 80784 is a Smith number?

12^3+19^3+26^3+28^3+32^3=80883

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

Heck no, I did not know that.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

The two of us do now!

9^3+24^3+26^3+28^3+30^3=81081

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

4^3+8^3+25^3+29^3+94^2+97^2+99^2+112^2=81180

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

13^3+15^3+18^3+30^3+35^3=81279

I have to go to bed now. Catch you later...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,436

2 x 5^3 + 22^3 + 31^3 + 95^2 + 2 x 100^2 + 108^2 = 81378

Okay, see you tomorrow. Have a good night.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

6^3+20^3+21^3+40^3=81477

*Last edited by phrontister (2013-10-17 15:37:11)*

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,247

81576

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,452

3^3+12^3+18^3+42^3=81675

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