No, that’s not what the paper shows. The paper claims that there exists arbitrarily large primes prime pairs with a gap of less than 70 million, not that all pr

No, that’s not what the paper shows. The paper claims that there exists arbitrarily large primes prime pairs with a gap of less than 70 million, not that all primes are part of a prime pair. Your misinterpretation is equivalent to intepreting the twin prime conjecture to mean that all odd numbers are prime.