# [seqfan] Re: What are the possible digit-sums for Fibonacci numbers?

israel at math.ubc.ca israel at math.ubc.ca
Tue Dec 27 06:15:21 CET 2016

```Well yes, Fibonacci(n) mod 10^k will be periodic, but it will always take
values of 0 mod 10^k. It's likely that (for n > 0) these will have lots of
other digits making the digit sums large, but I don't see any prospect of
controlling those.

Cheers,
Robert

On Dec 26 2016, Neil Sloane wrote:

>> The first 0 is Fib(0), I think, so different from the other zeros for
>non-existence. ) Yes, of course.
>
>> Not gonna happen.
>
>Well, the last time this sequence was updated was in 2002, and the range
>that was searched at that time was not listed.  Presumably one could search
>further now, and in any case the range that was searched should be stated!
>
>Secondly, looking at Fibonacci(n) mod 100 (periodic with period 300, see
>A001175) might tell us something about whether digit sum 6 happens.
>.
>
>Best regards
>Neil
>
>Neil J. A. Sloane, President, OEIS Foundation.
>11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
>Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
>Email: njasloane at gmail.com
>
>
>On Mon, Dec 26, 2016 at 8:32 PM, Hans Havermann <gladhobo at bell.net> wrote:
>
>> > It would be nice to settle some of these zeros!
>>
>> Not gonna happen. :)
>>
>> The first 0 is Fib(0), I think, so different from the other zeros for
>> non-existence. Might need to be stated (or use -1 for non-existence).
>>
>> --
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>>
>
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>Seqfan Mailing list - http://list.seqfan.eu/
>
>

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