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Vepir

I do mathematics for fun.


My handpicked seven open problems I'm stuck at making progress:

P - Proof needed: Do I have all solutions?
H - Hard problem: Partial answers needed.
L - See Linked questions.

  1. Diophantine equations: Hard system in natural numbers. - P,H,L

  2. Number formation: Largest integer using optimal digits. - H,L

  3. Graph Theory: Frog game on tree graphs, characterizations? - H

  4. Prime sequence: Jumping prime numbers sequence. - H

  5. Fractals: Pattern in Pascal's triangle - explanation?

  6. Geometry: Tiling the unit square with right triangles? - P (+)

  7. Combinatorics: Number of apples on the tree? - P (✔️)

The "✔️" stands for "solved", and "(+)" for "useful partial answers" exist:

  • Thanks @Sil for solving problem 7. with the proof.

  • Thanks @Oscar Lanzi for 6. - finding the third construction.

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