Prime Number Checker

Test integers up to 10¹⁸ with deterministic Miller–Rabin, inspect nearest primes, optional factorisation, and divisor statistics for deeper number theory insights.

Supports negative numbers (primality applies to the absolute value). Use underscores or prefixes (0x, 0b) if you prefer.

Find nearest primes

Quickly locate the next and previous primes.

Show factorisation

Enabled for numbers up to 100,000,000.

Prime status
Prime

No divisors other than 1 and itself

Parity
Odd

Absolute value has 2 digits

Binary length
7 bits

Digits needed in base 2

Absolute value
97

Checking primality on |n|

Nearest primes

Previous prime

89

Gap: 8

Next prime

101

Gap: 4

Prime factorisation

1 factors
97
Divisors
2

Total number of positive divisors

Sum of divisors
98

σ(n) including 1 and itself

Frequently Asked Questions