- **enzocreti**
(*https://www.mersenneforum.org/forumdisplay.php?f=156*)

- - **how to proof this fact**
(*https://www.mersenneforum.org/showthread.php?t=25310*)

how to proof this factI want to proof that
if 23*34^x +5590*y+588 and 223*34^x+5590*y+588 are multiple of 43 for some positive x and y, then they are congruent to 344 mod 559 how to proof it? example: 23*34^2+5590*2+588 is multiple of 43 and so it is congruent to 344 mod 559 |

559 = 13 * 43
If something is 344 (mod 559), it is the same as simultaneously being 6 (mod 13) and 0 (mod 43) ( read up on Chinese Reminder Theorem to understand this equivalence) Periodicity of 34^x (mod 13) is 4, and (mod 43) is 42. Wait! 4 doesn't divide 42. Doesn't look like your observation is true. Try 23*34^44 +5590*y+588. This is 0 (mod 559). Disproved! |

...[QUOTE=axn;538499]559 = 13 * 43
If something is 344 (mod 559), it is the same as simultaneously being 6 (mod 13) and 0 (mod 43) ( read up on Chinese Reminder Theorem to understand this equivalence) Periodicity of 34^x (mod 13) is 4, and (mod 43) is 42. Wait! 4 doesn't divide 42. Doesn't look like your observation is true. Try 23*34^44 +5590*y+588. This is 0 (mod 559). Disproved![/QUOTE] Ok so it is congruent to either 0 or 344 mod 559 |

[QUOTE=enzocreti;538500]Ok
so it is congruent to either 0 or 344 mod 559[/QUOTE] your "proofs" are all built on "Tigger's principle". "This!" Disproven. "Ok then this or that" Disproven. "Ok then this or that or that" and so on [QUOTE="https://en.wikipedia.org/wiki/Tigger#In_literature"] Most of the rest of that chapter is taken up with the characters' search for a food that Tigger can eat for breakfast — despite Tigger's claims to like "everything", it is quickly proven he does not like honey, acorns, thistles, or most of the contents of Kanga's larder. [/QUOTE] |

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