Twin primes calculator

Find all twin prime pairs (primes that differ by 2) up to any number.

Up to

What are twin primes?

Twin primes are pairs of primes that differ by 2: (3,5), (5,7), (11,13), (17,19), (29,31), (41,43), (59,61), (71,73)...

Twin prime conjecture

Are there infinitely many twin primes? This is one of the oldest unsolved problems in math. In 2013, Yitang Zhang proved there are infinitely many prime pairs with gap ≤ 70 million — later reduced to 246.

The only "triplet"

(3, 5, 7) is the only prime triplet with gap 2 between consecutive primes. For p > 3, at least one of p, p+2, p+4 is divisible by 3.

Popular prime factorization problems
Related calculators