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• ... ? Mod(2*2,115921)^721 Mod(4, 115921) ? Mod(2*3,115921)^721 Mod(6, 115921) ? Mod(2*5,115921)^721 Mod(10, 115921) ... This is worse than your normal
Message 1 of 3 , Jan 14, 2007
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--- miltbrown@... wrote:
> Is there a simple answer for the reason that
>
> ((2*T)^721) mod 115921 = 1 for all primes T except 13, 37, and 241

? Mod(2*2,115921)^721
Mod(4, 115921)
? Mod(2*3,115921)^721
Mod(6, 115921)
? Mod(2*5,115921)^721
Mod(10, 115921)
...

This is worse than your normal hit-rate, Milton.

> How does on obtain the the number 721?

Hard to say without being crude.

Phil

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• ... You re playig this gaem again, I see: http://www.politicsforum.org/images/flame_warriors/flame_46.php I m talking correct maths. This could be why you
Message 2 of 3 , Jan 14, 2007
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--- miltbrown@... wrote:
> I am not sure what you are saying,

You're playig this gaem again, I see:
http://www.politicsforum.org/images/flame_warriors/flame_46.php

I'm talking correct maths. This could be why you don't recognise it.

Please don't top post. Responses have the potential, not always realised alas,
of making more sense when they follow the thing to which they are a response.

> but
>
> ((2*2)^721) mod 115921 = 1
>
> no?

What part of my

? Mod(2*2,115921)^721
Mod(4, 115921)

did you not understand?

> Also,
>
> ((2*3)^721) mod 115921 = 1

? Mod(2*3,115921)^721
Mod(6, 115921)

Please don't make me beat you round the head with all 103680 totatives.

> but not
>
> ((2*13)^721) mod 115921 =/= 1

2*13 is not a totative, as 13|115921

This is beginners' stuff, Milton.

I remember in the past that because of your abuses, the moderators agreed to
not only moderate for _relevance_, but also for _correctness_. Alas I forgot
that earlier, but have remembered it now. If it's wrong or misleading, I will
not approve it.

googling for are "carmichael", "lambda", and "function"; preferably in very
close proximity.

Phil

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/\ against HTML mail /\ against gratuitous bloodshed

[stolen with permission from Daniel B. Cristofani]

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