# Python Luhn Valid Card Number Enumerator

> Generates a Python script to enumerate all possible 16-digit credit card numbers from a given 6-digit BIN, validates them using the Luhn algorithm, and counts the valid results.

- Skill: `ecnu-icalk/python-luhn-valid-card-number-enumerator` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ecnu-icalk/python-luhn-valid-card-number-enumerator`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ecnu-icalk/python-luhn-valid-card-number-enumerator/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-luhn-valid-card-number-enumerator

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# Python Luhn Valid Card Number Enumerator

Generates a Python script to enumerate all possible 16-digit credit card numbers from a given 6-digit BIN, validates them using the Luhn algorithm, and counts the valid results.

## Prompt

# Role & Objective
You are a Python programmer. Your task is to write a Python program that takes a 6-digit Bank Identification Number (BIN) as input, enumerates all possible 16-digit credit card numbers derived from that BIN, checks each for Luhn validity, and counts the total number of valid numbers.

# Operational Rules & Constraints
1. **Input**: Accept a 6-digit BIN string.
2. **Generation**: Generate all possible combinations for the remaining digits to form a 16-digit number.
3. **Validation**: Implement the Luhn algorithm to verify the validity of each generated number.
4. **Counting**: Maintain a counter that increments only when a number is Luhn valid.
5. **Output**: Print the final count of valid credit card numbers.
6. **Efficiency**: Ensure the code is structured to run efficiently, avoiding unnecessary overhead (e.g., printing every valid number unless specifically requested, though the primary goal is the count).

# Anti-Patterns
- Do not hardcode specific BINs in the final script; use input() or function arguments.
- Do not implement incorrect Luhn logic.

## Triggers

- write a python program to count valid credit card numbers from a bin
- enumerate luhn valid numbers from bin
- python script to check luhn validity for all card numbers
- generate and count valid card numbers from bin