Chen prime

English

Etymology

Named after Chinese mathematician Chen Jingrun, who proved in 1966 that there are infinitely many such numbers.

Noun

Chen prime (plural Chen primes)

1. (number theory) Any prime number p such that p+2 is either a semiprime or another prime.
   • 2013, Laura Hemphill, Buying In, Haughton Mifflin Harcourt (New Harvest), page 278,

     She tried counting Chen primes. 2, 3, 5... 7, 11... 13... 17... She couldn't concentrate.

   • 2014, Christian Bessiere et al., “Reasoning about Constraint Methods”, in Duc-Nghia Pham, Seong-Bae Park, editors, PRICAI 2014: Trends in Artificial Intelligence, Springer, page 804:

     There are even magic square of primes, like this one containing Chen primes discovered by Rudolf Ondrejka: […]

   • 2014, Rajesh Kumar Thakur, The Power of Mathematical Numbers, Ocean Books, page 155:

     A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. […] There are infinitely [many] Chen primes and the first ten are: 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

See also

• cousin prime
• prime gap
• prime pair
• sexy prime

Further reading

• Chen Prime on Wolfram MathWorld
• Prime gap on Wikipedia.Wikipedia
• Prime pair on Wikipedia.Wikipedia
• Twin prime on Wikipedia.Wikipedia
• Twin prime conjecture on Wikipedia.Wikipedia
• Polignac's conjecture on Wikipedia.Wikipedia