primes = [7, 13, 19, 31, 43, 67, 79, 97, 109, 139]

print("=== CAN WE EXTRAPOLATE FROM 10 PRIMES? ===")
print()

# Check gaps
gaps = [primes[i+1] - primes[i] for i in range(len(primes)-1)]
print("Prime gaps:", gaps)
print("Mean gap:", sum(gaps)/len(gaps))
print()

# Check if pattern exists
print("Pattern analysis (mod 6):")
for p in primes:
    print(f"  {p} mod 6 = {p % 6}")

print()
print("CONCLUSION:")
print("10 primes is NOT enough for reliable extrapolation.")
print("Need at least 100-1000 primes to establish pattern.")
print("Current sample only confirms basic modular arithmetic.")