Cognitive Scaffold

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MENTAL MODEL · M0471

Cunningham Chain

Cunningham Chain
BehaviorHigh supportOrganizational Behavior
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

A sequence of prime numbers where each prime is twice the previous one plus one (or the previous is twice the next plus one). This structure is extremely rare in prime number searches.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Understanding the fragility of 'trust chains'. In blockchain or organizational trust, if you rely on a single-line 'trust chain' (A trusts B, B trusts C...), once any intermediate link breaks (non-prime), the security of the entire chain becomes zero. In contrast, decentralized mesh trust is more robust.

anchor

Anchor fast decisions

A Cunningham chain is a sequence of primes p₁, p₂, … satisfying p_{i+1}=2p_i+1 (first kind) or p_i=2p_{i+1}+1 (second kind). Every link in the chain must be prime, so longer chains are rarer. The mechanism is 'serial strong constraints'—if any link is not prime, the chain breaks.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Cunningham_chainZH · Explicit
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