• 2025: Division by digit removal.

    From Alan Mackenzie@21:1/5 to All on Wed Jan 1 15:23:36 2025
    The year is now 2025.

    2025 is divisible by 9. To do this, you merely have to remove the digit
    0, leaving 225.

    225 is also divisible by 9. Again, remove one of the 2 digits, leaving
    25.

    25 is divisible by 5. Guess what, to do this you remove the 2 digit
    leaving 5.

    Well, that's as far as it goes.

    Happy new year to you all!

    --
    Alan Mackenzie (Nuremberg, Germany).

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  • From Jim Burns@21:1/5 to Alan Mackenzie on Wed Jan 1 13:19:18 2025
    On 1/1/2025 10:23 AM, Alan Mackenzie wrote:

    The year is now 2025.

    2025 is divisible by 9.
    To do this,
    you merely have to remove the digit 0,
    leaving 225.

    225 is also divisible by 9.
    Again, remove one of the 2 digits,
    leaving 25.

    25 is divisible by 5. Guess what,
    to do this you remove the 2 digit
    leaving 5.

    Well, that's as far as it goes.

    Once more:
    5 is divisible by nothing (is prime).
    Remove the 5,
    leaving nothing.

    Happy new year to you all!

    Happy New Year!

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  • From sobriquet@21:1/5 to All on Thu Jan 2 17:13:19 2025
    Op 01/01/2025 om 16:23 schreef Alan Mackenzie:
    The year is now 2025.

    2025 is divisible by 9. To do this, you merely have to remove the digit
    0, leaving 225.

    225 is also divisible by 9. Again, remove one of the 2 digits, leaving
    25.

    25 is divisible by 5. Guess what, to do this you remove the 2 digit
    leaving 5.

    Well, that's as far as it goes.

    Happy new year to you all!


    https://www.wolframalpha.com/input?i=%28sum+n%3D1+to+9+n%29%5E2

    https://www.wolframalpha.com/input?i=+sum+n%3D1+to+9+n%5E3

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  • From Moebius@21:1/5 to All on Thu Jan 2 22:37:24 2025
    Am 02.01.2025 um 17:13 schrieb sobriquet:
    Op 01/01/2025 om 16:23 schreef Alan Mackenzie:
    The year is now 2025.

    2025 is divisible by 9.  To do this, you merely have to remove the digit
    0, leaving 225.

    225 is also divisible by 9.  Again, remove one of the 2 digits, leaving
    25.

    25 is divisible by 5.  Guess what, to do this you remove the 2 digit
    leaving 5.

    Well, that's as far as it goes.

    Happy new year to you all!


    https://www.wolframalpha.com/input?i=%28sum+n%3D1+to+9+n%29%5E2

    https://www.wolframalpha.com/input?i=+sum+n%3D1+to+9+n%5E3

    Jeah,

    2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)^2 = 1^3 + 2^3 + 3^3 + 4^3 +
    5^3 + 6^3 + 7^3 + 8^3 + 9^3.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Moebius@21:1/5 to All on Fri Jan 3 00:05:11 2025
    Am 02.01.2025 um 22:37 schrieb Moebius:
    Am 02.01.2025 um 17:13 schrieb sobriquet:
    Op 01/01/2025 om 16:23 schreef Alan Mackenzie:
    The year is now 2025.

    2025 is divisible by 9.  To do this, you merely have to remove the digit >>> 0, leaving 225.

    225 is also divisible by 9.  Again, remove one of the 2 digits, leaving >>> 25.

    25 is divisible by 5.  Guess what, to do this you remove the 2 digit
    leaving 5.

    Well, that's as far as it goes.

    Happy new year to you all!


    https://www.wolframalpha.com/input?i=%28sum+n%3D1+to+9+n%29%5E2

    https://www.wolframalpha.com/input?i=+sum+n%3D1+to+9+n%5E3

    Jeah,

    2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)^2 = 1^3 + 2^3 + 3^3 + 4^3 +
    5^3 + 6^3 + 7^3 + 8^3 + 9^3.

    1729.

    "1729 is also known as Ramanujan number or Hardy–Ramanujan number, named after an anecdote of the British mathematician G. H. Hardy when he
    visited Indian mathematician Srinivasa Ramanujan who was ill in a hospital.[14][15] In their conversation, Hardy stated that the number
    1729 from a taxicab he rode was a "dull" number and "hopefully it is not unfavourable omen", but Ramanujan remarked that 'it is a very
    interesting number; it is the smallest number expressible as the sum of
    two cubes in two different ways'." (Wikipedia)

    See: https://en.wikipedia.org/wiki/Taxicab_number

    .
    .
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