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.
Diophantine equations: Hard system in natural numbers. - P,H,L
Number formation: Largest integer using optimal digits. - H,L
Graph Theory: Frog game on tree graphs, characterizations? - H
Prime sequence: Jumping prime numbers sequence. - H
Geometry: Tiling the unit square with right triangles? - P (+)
Combinatorics: Number of apples on the tree? - P (✔️)
The "✔️" stands for "solved", and "(+)" for "useful partial answers" exist:
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