Twin primes
In mathematics, a twin primes is a set of two prime numbers of the form {p, p + 2}. Usually the pair (2, 3) is not considered to be a pair of twin primes. Since 2 is the only even prime, this pair is the only pair of prime numbers that differ by one; thus twin primes are as closely spaced as possible for any other two primes.
Every twin prime pair except (3, 5) is of the form (6n − 1, 6n + 1) for some natural number n; that is, the number between the two primes is a multiple of 6.
First 20: {3, 5}, {5, 7}, {11, 13}, {17, 19}, {29, 31}, {41, 43}, {59, 61}, {71, 73}, {101, 103}, {107, 109}, {137, 139}, {149, 151}, {179, 181}, {191, 193}, {197, 199}, {227, 229}, {239, 241}, {269, 271}, {281, 283}, {311, 313}
Checkout list of first: 10, 50, 100, 500, 1000 twin primes. You can also check all twin primes.
Visualization#
Every frame counter is increased by one. If it is twin prime then dot appears. Color has no meaning. Video has 25fps.
You can also compare it with other types.
External#
- OEIS: A077800
- Wikipedia: Twin primes
- Youtube: Visualization up to 1 million
Tags#
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