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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 wikiPageLength "4361".
- Chen_prime wikiPageOutDegree "46".
- Chen_prime wikiPageRevisionID "549635321".
- Chen_prime wikiPageWikiLink 101_(number).
- Chen_prime wikiPageWikiLink 11_(number).
- Chen_prime wikiPageWikiLink 13_(number).
- Chen_prime wikiPageWikiLink 17_(number).
- Chen_prime wikiPageWikiLink 19_(number).
- Chen_prime wikiPageWikiLink 23_(number).
- Chen_prime wikiPageWikiLink 29_(number).
- Chen_prime wikiPageWikiLink 2_(number).
- Chen_prime wikiPageWikiLink 31_(number).
- Chen_prime wikiPageWikiLink 37_(number).
- Chen_prime wikiPageWikiLink 3_(number).
- Chen_prime wikiPageWikiLink 41_(number).
- Chen_prime wikiPageWikiLink 47_(number).
- Chen_prime wikiPageWikiLink 53_(number).
- Chen_prime wikiPageWikiLink 59_(number).
- Chen_prime wikiPageWikiLink 5_(number).
- Chen_prime wikiPageWikiLink 67_(number).
- Chen_prime wikiPageWikiLink 71_(number).
- Chen_prime wikiPageWikiLink 7_(number).
- Chen_prime wikiPageWikiLink 83_(number).
- Chen_prime wikiPageWikiLink 89_(number).
- Chen_prime wikiPageWikiLink Arithmetic_progression.
- Chen_prime wikiPageWikiLink Ben_Green_(mathematician).
- Chen_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Chen_prime wikiPageWikiLink Chen_Jingrun.
- Chen_prime wikiPageWikiLink Chens_theorem.
- Chen_prime wikiPageWikiLink Even_number.
- Chen_prime wikiPageWikiLink Infinite_set.
- Chen_prime wikiPageWikiLink Integer.
- Chen_prime wikiPageWikiLink Magic_square.
- Chen_prime wikiPageWikiLink Parity_(mathematics).
- Chen_prime wikiPageWikiLink PrimeGrid.
- Chen_prime wikiPageWikiLink Prime_number.
- Chen_prime wikiPageWikiLink Primegrid.
- Chen_prime wikiPageWikiLink Semiprime.
- Chen_prime wikiPageWikiLink Supersingular_prime_(moonshine_theory).
- Chen_prime wikiPageWikiLink Terence_Tao.
- Chen_prime wikiPageWikiLink Twin_prime.
- Chen_prime wikiPageWikiLinkText "Chen prime".
- 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 wikiPageUsesTemplate Template:Cite_journal.
- Chen_prime wikiPageUsesTemplate Template:Infobox_integer_sequence.
- Chen_prime wikiPageUsesTemplate Template:MathWorld.
- Chen_prime wikiPageUsesTemplate Template:Note_label.
- Chen_prime wikiPageUsesTemplate Template:OEIS.
- Chen_prime wikiPageUsesTemplate Template:Prime_number_classes.
- Chen_prime wikiPageUsesTemplate Template:Reflist.
- Chen_prime subject Category:Classes_of_prime_numbers.
- Chen_prime type Class.
- 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 sameAs عدد_تشين_الأولي.
- Chen_prime sameAs Primo_de_Chen.
- 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 Простые_числа_Чена.
- Chen_prime sameAs Čenovo_praštevilo.
- Chen_prime sameAs Số_nguyên_tố_Chen.
- Chen_prime sameAs Q2344088.
- Chen_prime sameAs Q2344088.
- Chen_prime sameAs 陈素数.
- Chen_prime wasDerivedFrom Chen_prime?oldid=549635321.
- Chen_prime isPrimaryTopicOf Chen_prime.