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name: bignum-calculator description: Arbitrary precision integer calculator for handling extremely large numbers. Use when users need to compute with numbers that exceed standard numeric limits, including operations like factorial of large numbers (e.g., 100!), powers with large exponents (e.g., 2^1000), arithmetic on numbers with hundreds of digits, or prime checking, GCD, LCM, Fibonacci, and binomial coefficients.

Big Number Calculator

Perform arbitrary precision integer arithmetic using Python's native big integer support.

Quick Start

Run the calculator script:

Copypython scripts/bignum_calc.py <operation> <args...>

Supported Operations

Examples

Copy# 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:

Copy# 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)