// multi-utility computation suite · offline · instant · precise
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│ [c] calcalyst_ │
│ computation suite │
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math.prime-check Calculator
Tests primality using trial division to √n and lists all prime factors with multiplicities. A number is prime if it has exactly two distinct divisors: 1 and itself — this check runs in O(√n) time.
Inputs
N
Count of items or occurrences.
Count
Reference formula or conversion factor shown for context.
Nth
Reference formula or conversion factor shown for context.
Sieve Limit
Reference formula or conversion factor shown for context.
Results
primes up to
Reference formula or conversion factor shown for context.
prime density
Sample size or count used in the calculation.
nearest factor (if not prime)
A dimensionless multiplier applied in the calculation.