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- Chen_prime abstract "A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2p + 2 therefore satisfies Chen's theorem.The Chen primes are named after Chen Jingrun, who proved in 1966 that there are infinitely many such primes. This result would also follow from the truth of the twin prime conjecture.The first few Chen primes are2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, … (sequence A109611 in OEIS).The first few Chen primes that are not the lower member of a pair of twin primes are2, 7, 13, 19, 23, 31, 37, 47, 53, 67, 83, 89, 109, 113, 127, ... (sequence A063637 in OEIS).The first few non-Chen primes are43, 61, 73, 79, 97, 103, 151, 163, 173, 193, 223, 229, 241, … (sequence A102540 in OEIS).All of the supersingular primes are Chen primes.Rudolf Ondrejka discovered the following 3x3 magic square of nine Chen primes:The lower member of a pair of twin primes is by definition a Chen prime. Thus, 3756801695685*2666669 - 1 (having 200700 decimal digits), found by Primegrid, represents the largest known Chen prime as of December 25, 2011.The largest known Chen prime at that time which is not a twin prime was (1284991359*298305+1)*(96060285*2135170+1)-2 (having 70301 decimal digits).".
- Chen_prime wikiPageExternalLink primes.utm.edu.
- Chen_prime wikiPageExternalLink 5774_chap1.pdf.
- Chen_prime wikiPageID "2331143".
- Chen_prime wikiPageRevisionID "549635321".
- Chen_prime author "Chen, J. R.".
- Chen_prime firstTerms "23571113".
- Chen_prime hasPhotoCollection Chen_prime.
- Chen_prime namedAfter "Jing Run Chen".
- Chen_prime oeis "A109611".
- Chen_prime publicationYear "1973".
- Chen_prime title "Chen Prime".
- Chen_prime urlname "ChenPrime".
- Chen_prime subject Category:Classes_of_prime_numbers.
- Chen_prime type Abstraction100002137.
- Chen_prime type Class107997703.
- Chen_prime type ClassesOfPrimeNumbers.
- Chen_prime type Collection107951464.
- Chen_prime type Group100031264.
- Chen_prime comment "A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2p + 2 therefore satisfies Chen's theorem.The Chen primes are named after Chen Jingrun, who proved in 1966 that there are infinitely many such primes.".
- Chen_prime label "Chen prime".
- Chen_prime label "Nombre premier de Chen".
- Chen_prime label "Numero primo di Chen".
- Chen_prime label "Número primo de Chen".
- Chen_prime label "Простые числа Чена".
- Chen_prime label "عدد تشين الأولي".
- Chen_prime label "陈素数".
- Chen_prime label "陳素数".
- Chen_prime sameAs Nombre_premier_de_Chen.
- Chen_prime sameAs Numero_primo_di_Chen.
- Chen_prime sameAs 陳素数.
- Chen_prime sameAs Número_primo_de_Chen.
- Chen_prime sameAs m.0749ww.
- Chen_prime sameAs Q2344088.
- Chen_prime sameAs Q2344088.
- Chen_prime sameAs Chen_prime.
- Chen_prime wasDerivedFrom Chen_prime?oldid=549635321.
- Chen_prime isPrimaryTopicOf Chen_prime.