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Hier sind einige Aufgaben zum so genannten Grundwissen der Jahrgangsstufen 5 mit 10 zu finden.

Zusätzlich ein paar Ergänzungen und Übungen.

Ein Beispiel: Auf wie viele unterscheidbare Arten lassen sich vier (nicht unterscheidbare) rote und vier (nicht unterscheidbare) blaue Kugeln auf die acht Ecken eines Würfels verteilen?

What does factorization mean?

$26=2\cdot13$ is a complete factorization, while $1155=21\cdot55$ is a factorization, too. The latter can be extended to a complete one: $1155 = 3\cdot5\cdot7\cdot11$.

Project (closed)

On Aug 1, 2018 I (re-)started the factorization of the numbers 2011^64+b^64 (with b from 1 upto 2010).
I decided to stop this factorization.
January 6, 2019

Job #1

Factoring base 10 repunits, upto 200443 decimal digits.
Focusing on those repunits of which no factor is known yet.
Running upto 100 curves with bounds 11000 and 2000000 on any of these numbers.
I found 232 factors in the range n ≤ 200000 and additionally 32 factors in the range n ≤ 300000.

February 2, 2019

Job #2

Factoring numbers of the form 10^n+1 (in the range 1 ≤ n ≤ 100000).
Looking for at least 1000 new factors.
Using ecm with B1=11000 and B2=1700000 (mainly).
Found 2602 new factors - between Jan 1 and Feb 18, 2019.

February 18, 2019

Last update (correction): February 19, 2019