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The basenumber n = 262808 leads us to a new palindrome,
that is when the following formula is applied : n(n+4)
262808 x 262812 =
6 9 0 6 9 0 9 6 0 9 6

The most seksiest palindrome ever... I mean, so I was told (oops) !
69 lies at the base... of our decimal number system that is.
69 has two digits and the difference between its digits is three.
So let's copul... euh.. concatenate its square with its cube
and behold this pandigital display of all the 10 digits !

4761328509

Now write down the intermediate absolute differences between the digits
of 4761328509 three times in succession.
4 7 6 1 3 2 8 5 0 9
3 1 5 2 1 6 3 5 9
2 4 3 1 5 3 2 4
2 1 2 4 2 1 2

From our strobogrammatic 69 this nice palindrome emerges!
What secret characteristics can you discover in 2124212 ?

ps. our initial number n = 262808 is curious as well.
Divide it in two parts 262 and 808 and note the absolute difference
values between the first, second and third digit equals 666 ... the Number of the Beast !


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Patrick De Geest - Belgium - Short Bio - Some Pictures
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