Big Number Calculator
Perform arbitrary precision integer arithmetic using Python's native big integer support.
Quick Start
Run the calculator script:
python scripts/bignum_calc.py <operation> <args...>
Supported Operations
| Operation | Args | Example | Description |
|---|---|---|---|
add |
a b | add 999999999999999999 1 |
Addition |
sub |
a b | sub 1000000000000 1 |
Subtraction |
mul |
a b | mul 123456789 987654321 |
Multiplication |
div |
a b | div 1000000000000 7 |
Integer division |
mod |
a b | mod 1000000000007 1000000007 |
Modulo |
pow |
base exp | pow 2 1000 |
Power (2^1000) |
fact |
n | fact 100 |
Factorial (100!) |
gcd |
a b | gcd 123456789 987654321 |
Greatest common divisor |
lcm |
a b | lcm 12345 67890 |
Least common multiple |
prime |
n | prime 104729 |
Check if prime |
digits |
n | digits 12345678901234567890 |
Count digits |
digitsum |
n | digitsum 12345678901234567890 |
Sum of digits |
fib |
n | fib 1000 |
n-th Fibonacci number |
binomial |
n k | binomial 100 50 |
Binomial coefficient C(n,k) |
Examples
# Calculate 2^1000
python scripts/bignum_calc.py pow 2 1000
# Calculate 100!
python scripts/bignum_calc.py fact 100
# Calculate 1000th Fibonacci number
python scripts/bignum_calc.py fib 1000
# Check if a large number is prime
python scripts/bignum_calc.py prime 104729
# Calculate C(100, 50)
python scripts/bignum_calc.py binomial 100 50
Direct Python Usage
For complex calculations, use Python directly:
# Large factorial
import math
result = math.factorial(1000)
print(f"1000! has {len(str(result))} digits")
# Large power
result = 2 ** 10000
print(f"2^10000 has {len(str(result))} digits")
# Modular exponentiation (efficient)
result = pow(2, 1000000, 10**9 + 7)