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## Elementary Number Theory — Logic and Proof documentation

Jones Elementary Number Theory "A welcome addition. Congruences Pages Jones, Gareth A. Show next xx. Recommended for you.

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### Kennesaw Campus

Is this an error Peter As far as I can tell, the Marcel 1 1 silver badge 7 7 bronze badges. Is there a recurrence relation which has no closed formula?

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Is there a recurrence relation which is known to have no closed form with a proof of inexistence? Assuming a closed form Aladin 44 2 2 bronze badges. Pruthviraj 2 2 silver badges 12 12 bronze badges. Yet I'm not sure how can I find the function to calculate the number of zeros in the decimal representation.

It seems to be possible JOJO 89 7 7 bronze badges. Tithus 52 6 6 bronze badges. Coins n Joins 6 2 2 bronze badges.

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## Famous Theorems of Mathematics/Number Theory

The book now I read Gerald J. Janusz "Algebraic Number Fields" already prove following fact Lemma 5. I used discriminant method but failed.

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There are several existing solutions of this problem on this site, but I David E Speyer Minimum amount of different money bills such that any payment has the smallest number of bills? What is the smallest set that can generate the whole set via positive linear combinations? Billy Rubina Is it possible to factor very large integers greater than digits in the blink of an eye?

What I mean is that is there any fast algorithm in literature to do the job. I know of GNFS but they are Subhendra Basu 1.