Prime-Likeness Landscape

This visual treats each integer as a point in a landscape. High ridges mean the number stays far from divisor-like phase collapse under the reverse score G(n)=min d·dist(n/d, nearest integer). Valleys indicate clear divisor structure. Prime numbers often sit high, composites collapse low.

Controls

Range start101
Window width200
Divisor cutoff D31
Binary ridge threshold1.00
Interpretation: high values mean “no small divisor-like resonance found.”
Ridges: prime-like candidates.
Valleys: divisor collapse.

Landscape

score curve prime markers composite markers threshold y=1
Primes in view
0
Composites in view
0
Average prime score
0
Average composite score
0
1-bits in view
0
0-bits in view
0

Binary derived from the landscape

Each visible number is mapped to a bit by the rule score ≥ threshold → 1, score < threshold → 0. The 1-sequence is the ridge sequence; the 0-sequence is the valley sequence.
Bit string
1-bit ridge sequence
0-bit valley sequence

Top ridge candidates in view

Reading the landscape

The score shown is the reverse prime-likeness field: large values mean the number avoids small divisor alignment up to the chosen cutoff D.

Prime numbers often appear as ridges, but not every ridge is prime. Some composites hide until a larger divisor cutoff is used.

Raising D deepens the valleys of composites because more trial divisor channels are allowed to collapse the score.

This is the “visualise 2” version of the idea: a landscape of prime-likeness rather than a single yes/no test.