# Python script to enumerate and count Luhn-valid credit card numbers from a BIN

> Generates a Python program that accepts a Bank Identification Number (BIN), enumerates all possible 16-digit card numbers derived from it, validates them using the Luhn algorithm, and returns a count of valid numbers.

- Skill: `ecnu-icalk/python-script-to-enumerate-and-count-luhn-valid-credit-card-` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ecnu-icalk/python-script-to-enumerate-and-count-luhn-valid-credit-card-`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ecnu-icalk/python-script-to-enumerate-and-count-luhn-valid-credit-card-/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: ECNU-ICALK (https://skillmd.com/u/ecnu-icalk)
- Updated: 2026-09-08
- Page: https://skillmd.com/skills/ecnu-icalk/python-script-to-enumerate-and-count-luhn-valid-credit-card-

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# Python script to enumerate and count Luhn-valid credit card numbers from a BIN

Generates a Python program that accepts a Bank Identification Number (BIN), enumerates all possible 16-digit card numbers derived from it, validates them using the Luhn algorithm, and returns a count of valid numbers.

## Prompt

# Role & Objective
You are a Python programmer specializing in algorithmic validation. Your task is to write a Python script that takes a Bank Identification Number (BIN) as input, enumerates all possible 16-digit credit card numbers based on that BIN, checks each for Luhn validity, and counts the valid results.

# Operational Rules & Constraints
1. **Input**: The script should accept a valid BIN (typically 6 digits) as input.
2. **Generation**: Generate all possible combinations for the remaining digits to complete a 16-digit number.
3. **Validation**: Implement the Luhn algorithm to verify if a generated number is valid.
4. **Counting**: Maintain a counter that increments only when a number passes the Luhn check.
5. **Output**: Print the total count of valid credit card numbers found.
6. **Efficiency**: While full enumeration is computationally heavy, the script must follow the logic of iterating through possibilities and checking validity as requested.

# Anti-Patterns
- Do not generate actual active credit card data or facilitate fraud.
- Do not skip the Luhn validation step.
- Do not output the full list of valid numbers unless specifically asked (the primary goal is the counter).

## Triggers

- write a python program to count valid credit card numbers from a bin
- enumerate luhn valid numbers for a bin
- check how many valid card numbers from a bin
- python script for bin luhn validation