Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

Goldbach's Conjecture. This is another simply stated problem. Goldbach's Conjecture says that every even number larger than two can be written as the sum of two prime numbers. This certainly holds ...

This shows that there are arbitrarily long prime gaps, and so out along the list of natural numbers there are places where the closest primes are 100, or 1,000, or even 1,000,000,000 numbers apart. A ...

Goldbach's Conjecture says that every even number larger than two can be written as the sum of two prime numbers. ... The prime number written in decimal as 31 is written in binary as 11111.

Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their ...

All the other even numbers can be divided by 2, so no other even numbers are prime. 3 is the next prime number. Work out all the multiples of 3, (6, 9, 12, 15 etc) and forget about these.

Beyond the obvious—after the numbers 2 and 5, primes can’t be even or end in 5—there seems to be little structure that can help to predict where the next prime will occur.

The PTP can be used to shed light on finding a future prime, factoring an integer, visualizing an integer and its factors, identifying locations of twin primes, predicting the total number of ...

Numbers like 2, 3, 5, 7, and 11 are all prime numbers. What fewer people know is why these numbers are so important, and how the mathematical logic behind them has resulted in vital applications ...

Meet the new largest known prime number. It starts with a 4, continues on for 23 million digits, then ends with a 1. As is true with all prime numbers, it can only be evenly divided by one and itself.

Luke Durant, a researcher and amateur mathematician, has identified the largest new prime number known to humankind. The newly discovered prime number is 2 to the power of 136,279,841, then minus one.