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Prime number p where p+2 is prime or semiprime
In mathematics, 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
Chen_prime
Chinese number theorist
including Chen's theorem and the Chen prime. Chen was the third son in a large family from Fuzhou, Fujian, China. His father was a postal worker. Chen Jingrun
Chen_Jingrun
The next term has 6,539 digits. (OEIS: A051131) Chen primes are primes p such that p+2 is either a prime or semiprime. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
List_of_prime_numbers
Natural number
prime number, a Chen prime, an irregular prime, a lucky prime, a Heegner number, a super-prime, an isolated prime, a sexy prime, and a Pillai prime.
67_(number)
Natural number
consecutive primes (173 + 179 + 181 + 191 + 193). 918 = 2 × 33 × 17. It is a Harshad number. 919 is a prime number, a cuban prime, a prime index prime, a Chen prime
900_(number)
Natural number
triangular number. 821 is a prime number, a twin prime, a Chen prime, and an Eisenstein prime with no imaginary part. It forms a prime quadruplet with 823, 827
800_(number)
Natural number
7. 401 is the 79th prime number. It is a Ramanujan prime, a Pythagorean prime, a Chen prime, a super-prime, and an Irregular prime. It is also a Tetranacci
400_(number)
Natural number
edge-length 14. 1019 is a Sophie Germain prime, a safe prime, and a Chen prime. 1021 is a Lucky prime and a twin prime with 1019. 1025 = 52 × 41. It is a Jacobsthal-Lucas
1000_(number)
Natural number
accepted to be 666) 617 is a prime number, a Chen prime, an Eisenstein prime with no imaginary part, a super-prime, an index of prime Lucas number, and the sum
600_(number)
Natural number
is a prime number, a safe prime, a Chen prime, an Eisenstein prime with no imaginary part, an index of a prime Lucas number, and an isolated prime. It
500_(number)
Natural number
and the sum of four consecutive primes (167 + 173 + 179 + 181). 701 is a prime number, a Chen prime, an Eisenstein prime with no imaginary part, and the
700_(number)
Natural number
binary-matrix involutions. 317 is a Chen prime and an Eisenstein prime with no imaginary part. It is one of the rare primes that is both right and left truncatable
300_(number)
Prime differing from another prime by two
member of a pair is by definition a Chen prime. If m − 4 or m + 6 is also prime, then the three primes are called a prime triplet. It has been proven that
Twin_prime
Natural number
89 is: the 24th prime number, following 83 and preceding 97. a Chen prime. a Pythagorean prime. the smallest Sophie Germain prime to start a Cunningham
89_(number)
Natural number
43 is a prime number, and a twin prime of 41. 43 is the smallest prime that is not a Chen prime. 43 is also a Wagstaff prime, a Gaussian prime, and a Heegner
43_(number)
Surname list
Engineering at Columbia University Chen Jingrun (陳景潤; 1933–1996), mathematician, known for Chen prime and Chen's theorem Chen Jiun-Shyan, American engineering
Chen_(surname)
Natural number
following 292 and preceding 294. 293 is: a prime number, a Pythagorean prime, a Sophie Germain prime a Chen prime strictly trivially polygonal (number n that
293_(number)
Every large even number is either sum of a prime and a semi-prime or two primes
number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime
Chen's_theorem
Natural number
168. 167 is the 39th prime number, an emirp, an isolated prime, a Chen prime, a Gaussian prime, a safe prime, and an Eisenstein prime with no imaginary part
167_(number)
Number
Germain prime, a safe prime, a Chen prime, and an Eisenstein prime with no imaginary part and real part of the form 3n − 1. It is a cousin prime with 79
83_(number)
Specific class of fifteen prime numbers
supersingular primes are Chen primes, but 37, 53, and 67 are also Chen primes without being supersingular, and there are infinitely many Chen primes greater
Supersingular prime (moonshine theory)
Supersingular_prime_(moonshine_theory)
Natural number
following 112 and preceding 114. 113 is a prime number, a Sophie Germain prime, an emirp, an isolated prime, a Chen prime, a highly cototient number, a centered
113_(number)
Natural number
the 103rd prime number. It is also a safe prime, a Chen prime, an Eisenstein prime with no imaginary part, a balanced prime, a sexy prime with 569, a
563_(number)
Natural number
38501 = Smallest prime separated by at least 40 from the nearest primes (38461 and 38543). It is thus an isolated prime. Chen prime. 38807 = number of
30,000
Natural number
preceding 108. 107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime. Plugged into the expression
107_(number)
Natural number
137 is: the 33rd prime number; the next is 139, with which it comprises a twin prime, and thus 137 is a Chen prime. an Eisenstein prime with no imaginary
137_(number)
Natural number
between 262 and 264. 263 is a balanced prime, an irregular prime, a Ramanujan prime, a Chen prime, and a safe prime. 263 is also a strictly non-palindromic
263_(number)
Number divisible only by 1 and itself
written as a sum of three primes. Chen's theorem says that every sufficiently large even number can be expressed as the sum of a prime and a semiprime (the
Prime_number
Natural number
also a prime number. 211 is the sum of three consecutive primes ( 67 + 71 + 73 {\displaystyle 67+71+73} ), a Chen prime, a centered decagonal prime, and
211_(number)
Singaporean journalist (born 1985)
Melissa Chen (born 1985) is a Singaporean social commentator and activist. She is a contributing editor for Spectator USA. Chen was born in Singapore
Melissa_Chen
Natural number
133, is a semiprime, 131 is a Chen prime. 131 is an Ulam number. 131 is also a Honaker prime. 131 is a full reptend prime in base 10 (and also in base
131_(number)
Natural number
prime. Because the next odd number, 129, is a semiprime, 127 is a Chen prime. 127 is greater than the arithmetic mean of its two neighboring primes;
127_(number)
Natural number
239 is a prime number. The next is 241, with which it forms a pair of twin primes; hence, it is also a Chen prime. 239 is a Sophie Germain prime and a
239_(number)
Natural number
41 + 43 + 47 + 53), Chen prime, Eisenstein prime with no imaginary part, and a centered decagonal number. 281 is the smallest prime p such that the decimal
281_(number)
Natural number
353 is the 71st prime number, a palindromic prime, an irregular prime, a super-prime, a Chen prime, a Proth prime, and an Eisenstein prime. In connection
353_(number)
Natural number
seven consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47). a Chen prime. an Eisenstein prime with no imaginary part. a de Polignac number, meaning that
251_(number)
Paid subscription service offered by Amazon
Retrieved June 3, 2026. Chen, Connie (December 18, 2024). "Everything you need to know about Prime Access, one of Amazon's discounted Prime membership". Amazon
Amazon_Prime
Natural number
the 34th prime number. It is a twin prime with 137. Because 141 is a semiprime, 139 is a Chen prime. 139 is the smallest prime before a prime gap of length
139_(number)
by Chen Jingrun in 1966, with further details of the proof in 1973. Chen prime: A prime number p is called a Chen prime if p + 2 is either a prime or
List_of_Chinese_discoveries
Natural number
yields 157 an emirp a Chen prime the largest known prime p which p p + 1 p + 1 {\displaystyle {\frac {p^{p}+1}{p+1}}} is also prime. (See (sequence A056826
157_(number)
Natural number
preceding 182. 181 is prime, and a palindromic, strobogrammatic, and dihedral number in decimal. 181 is a Chen prime. 181 is a twin prime with 179, equal to
181_(number)
Four basic unsolved problems about prime numbers
Yıldırım. In 1966 Chen showed that there are infinitely many primes p (later called Chen primes) such that p + 2 is either a prime or a semiprime. It
Landau's_problems
Prime Minister of Malaysia (1981–2003, 2018–2020)
fourth and seventh prime minister of Malaysia from 1981 to 2003 and again from 2018 to 2020. He was the country's longest-serving prime minister, serving
Mahathir_Mohamad
2026 American television programming awards for creative arts
Awards honored the best in artistic and technical achievement in American prime time television programming from June 1, 2025, until May 31, 2026, as chosen
78th Primetime Creative Arts Emmy Awards
78th_Primetime_Creative_Arts_Emmy_Awards
Natural number
repunit, square root of 12345678987654321 111,111,113 = Chen prime, Sophie Germain prime, cousin prime. 120,528,657 = number of centered hydrocarbons with
100,000,000
Prime Minister of Israel (1996–1999; 2009–2021; 2022–present)
21 October 1949) is an Israeli politician and diplomat who has served as Prime Minister of Israel since 2022. Having previously held office from 1996 to
Benjamin_Netanyahu
sieve Chen prime Cullen prime Fermat prime Sophie Germain prime, safe prime Mersenne prime New Mersenne conjecture Great Internet Mersenne Prime Search
List_of_number_theory_topics
Taiwanese-Australian violinist (born 1989)
Ray Chen (Chinese: 陳銳; pinyin: Chén Ruì; born 6 March 1989) is a Taiwanese-Australian violinist and YouTuber. He was the winner of the 2008 International
Ray_Chen
Prime number of the form 2^n – 1
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some
Mersenne_prime
2025 American Christmas comedy film
Denis Leary, Dominic Sessa, with Jason Schwartzman, Eva Longoria, and Joan Chen. The plot tells the story of the family matriarch Claire going through the
Oh._What._Fun.
Last of the Southern Dynasties in China (557–589)
The Chen dynasty (traditional Chinese: 陳朝; simplified Chinese: 陈朝; pinyin: Chén Cháo), alternatively known as the Southern Chen (南陳 / 南朝陳) in historiography
Chen_dynasty
East Asian ethnic group
purely conformational change. Mathematics genius, Chen Jingrun invented the Chen's theorem and Chen prime, he also stunned famous mathematicians by providing
Fuzhou_people
Taiwanese criminal
Chen Yi-hsiung (died 29 March 2004) was the prime suspect in the March 19 shooting incident, a failed attempt to assassinate the president of Taiwan Chen
Chen_Yi-hsiung
Taiwanese mathematician, economist, and politician (born 1937)
Chen Li-an (Chinese: 陳履安; pinyin: Chén Lǚ'ān; born 22 June 1937), sometimes spelled Chen Lu-an, is a Taiwanese mathematician, economist, and former politician
Chen_Li-an
Wei Yingluo, Consort Ling. Based on the historical Yongqi, portrayed by Chen Youwei. Yuntao, Prince Lü Portrayed by Gong Fangmin. Prince Aethelwulf Vikings
List_of_fictional_princes
(1806–1872) Welwitschiaceae Ch Welwitschiella Asteraceae Bu Wenchengia Wen Chen Wu (1898–1942), Chinese professor of botany with a focus on Chinese flora
List of plant genera named after people (Q–Z)
List_of_plant_genera_named_after_people_(Q–Z)
Gene editing technique
Purnima; Chen, Pin-Fang; Chen, Cidi; Nelson, James W.; Newby, Gregory A.; Sahin, Mustafa; Osborn, Mark J. (October 2021). "Enhanced prime editing systems
Prime_editing
Chinese intellectual and revolutionary (1879–1942)
Chen Duxiu (simplified Chinese: 陈独秀; traditional Chinese: 陳獨秀; pinyin: Chén Dúxiù; Wade–Giles: Chʻên Tu-hsiu; 9 October 1879 – 27 May 1942) was a Chinese
Chen_Duxiu
Singaporean lawyer
pinyin: Chén Zǐlíng) is a Singaporean lawyer. The wife of Singapore's second Prime Minister, Goh Chok Tong, Tan took the role of the spouse of the Prime Minister
Tan_Choo_Leng
Chinese-American entrepreneur (born 1998)
Eric Chen is an entrepreneur and blockchain developer. He is the co-founder and chief executive officer of Injective Labs, a blockchain technology company
Eric_Chen
Oct Ming dynasty decisively defeats Yuan dynasty and kills their commander Chen Youliang. 1364 Hundred Years' War Battle of Cocherel 16 May French defeat
List_of_battles_1301–1600
Chinese-Australian drug trafficker
Si Yi Chen (simplified Chinese: 陈思毅; traditional Chinese: 陳思毅; pinyin: Chén Sīyì; born 19 March 1985) is an Australian man who was convicted in Indonesia
Si_Yi_Chen
President of the Republic of China from 2000 to 2008
Chen Shui-bian (Chinese: 陳水扁; pinyin: Chén Shuǐbiǎn; born 12 October 1950) is a Taiwanese politician and lawyer who served as the fifth president of the
Chen_Shui-bian
Ryu ga Gotoku Shinshou Action adventure Sega, Syn Sophia Lilpri DS: Hime-Chen! Apple Pink Adventure Sega Nintendo DS Napoleon: Total War Strategy Creative
List_of_Sega_video_games
Singaporean politician (born 1978 or 1979)
Jeffrey Siow Chen Siang (born 1978) is a Singaporean politician and former civil servant who has served as the Minister for Transport since 2025. A member
Jeffrey_Siow
Even integers as sums of two primes
can be written as the sum of either two primes, or a prime and a semiprime (the product of two primes). See Chen's theorem for further information. In 1975
Goldbach's_conjecture
novel in loose notes, which were published in 1995. 1849 Pin Hua Bao Jian Chen Sen China [Beautiful mirror with arranged flowers] It is a pornographic novel
List of gay novels prior to the Stonewall riots
List_of_gay_novels_prior_to_the_Stonewall_riots
Chinese peasant woman and rebel leader who declared herself Empress Regnant
Chen Shuozhen (Chinese: 陳碩真; pinyin: Chén Shuòzhēn; died November 653) was a Tang dynasty woman from Muzhou (in modern Chun'an, Zhejiang), who led a peasant
Chen_Shuozhen
Jackie Coogan guest stars as a football trainer. 97 19 "Mary Hong Loves Tommy Chen" James Neilson Stephen J. Cannell February 9, 1972 (1972-02-09) A young girl
List_of_Adam-12_episodes
(as Michelle). Featuring Ted Noose (as Det. Kessler), Lily Mariye (as Dr. Chen), Michael DeLorenzo (as Michael), James Hardie (as Stage Manager), Eartha
List of Fame (1982 TV series) episodes
List_of_Fame_(1982_TV_series)_episodes
Taiwanese YouTuber (born 1992)
Chen Neng-chuan (Chinese: 陳能釧; born 30 April 1992), better known by his online alias Goodnight Chicken (Chinese: 晚安小雞), is a Taiwanese YouTuber and live
Goodnight_Chicken
This article lists the rulers of Tibet from the beginning of legendary history. Included are regimes with their base in Central Tibet, that held authority
List_of_rulers_of_Tibet
Chinese official during late Qing era (1848-1935)
Chen Baochen (traditional Chinese: 陳寶琛; simplified Chinese: 陈宝琛; pinyin: Chén Bǎochēn; 1848–1935) was a Chinese official during late Qing era, hailing
Chen_Baochen
by Julia Nickson. Liuying Ashes of Love The Demon Princess. Portrayed by Chen Yuqi. Suihe The Princess of the Bird Tribe and the Peacock immortal. Portrayed
List_of_fictional_princesses
Award winners for journalism
Williams Andrew Portch CBS News "for coverage of Chinese human rights activist Chen Guangcheng, who fled to the West after years of house arrest." War Reporting
List of George Polk Award winners
List_of_George_Polk_Award_winners
in Jiangyan, Jiangsu. The site was immediately visited by archaeologist Chen Wei and Dou Yaping, the director of the Cultural Heritage Division of the
List_of_coin_hoards_in_China
Creative Arts Center Taguig Brazilian Guitar & Cello Conducted by Marlon Chen G22, Sarah Geronimo, The Itchyworms, Kamikazee, Maki, Pinoy Big Brother:
2025_in_Philippine_music
claims in The Hague". Times of Israel. Retrieved 12 January 2024. Maanit, Chen (4 January 2024). "Israel Chooses British Legal Expert to Represent It in
List of British Jewish writers
List_of_British_Jewish_writers
Malaysian politician (1932–2024)
Parliamentary Secretary to the Deputy Prime Minister, Tun Abdul Razak Hussein in Tunku Abdul Rahman's third cabinet. However, Chen failed to retain his seat in
Michael_Chen_Wing_Sum
Peloponnese 1363 Battle of Lake Poyang Mings under Zhu Yuanzhang Hans under Chen Youliang 30 Aug – 4 Oct 1368 Mamluk raid on Cyprus Mamluk Sultanate Kingdom
List_of_naval_battles
Conjecture about prime gaps
p + 6) with no prime between p and p + 6. Dickson's conjecture generalizes Polignac's conjecture to cover all prime constellations. In 1966, Chen Jing-run proved
Polignac's_conjecture
Emperor of the Chen dynasty from 582 to 589
Chen Shubao (Chinese: 陳叔寶; pinyin: Chén Shúbǎo, 10 December 553 – 16 December 604), also known as Houzhu of Chen (陳後主; Chén Hòuzhǔ; 'Last Ruler of Chen')
Chen_Shubao
Prime number of the form (2ᵖ+1)/3
theory, a Wagstaff prime is a prime number of the form 2 p + 1 3 {\displaystyle {{2^{p}+1} \over 3}} where p is an odd prime. Wagstaff primes are named after
Wagstaff_prime
was a high ranking Serbian politician who was once both the president and prime minister of Serbia. Stambolić was abducted in Fruška Gora, Serbia, Yugoslavia
List of solved missing person cases (2000s)
List_of_solved_missing_person_cases_(2000s)
(1999–2001), Naked Jungle (2000), I'm Famous and Frightened! (2004) Julie Chen Moonves United States Big Brother (2000–present) Carol Cheng Hong Kong Weakest
List_of_game_show_hosts
Premier of China since 2023
support from Xi to run the State Council. On 28 October, he was succeeded by Chen Jining as the party secretary of Shanghai. Reuters reported on 3 March 2023
Li_Qiang
Encyclopædia Britannica Mumford 2021, p. 236. Porsche-Ludwig & Chen 2022a, pp. 446–447. Porsche-Ludwig & Chen 2022b, pp. 800–801. This article incorporates public
List of national flags of sovereign states
List_of_national_flags_of_sovereign_states
Singaporean film director (born 1984)
long "standing ovation" and earned Chen the coveted Camera d'Or. Singapore Prime Minister Lee Hsien Loong noted Chen's achievement, and congratulated him
Anthony_Chen
Chinese financier and politician
of China. In 1916, Chen was promoted to finance minister by Prime Minister Duan Qirui. When Duan was dismissed in May 1917, Chen was arrested for embezzlement
Chen_Jintao
Chinese general and politician (1889–1965)
Chen Mingshu (simplified Chinese: 陈铭枢; traditional Chinese: 陳銘樞; 4 December 1889 – 15 May 1965) was a Chinese general and politician. A Hakka from Hepu
Chen_Mingshu
review of K-drama OST releases Descendants of the Sun: Yoon Mi-rae "Always", Chen and Punch "Everytime", Davichi "This Love", Gummy "You Are My Everything"
Timeline of K-pop at Billboard
Timeline_of_K-pop_at_Billboard
Season of television series
following a 25th Anniversary special aired on July 26. Hosted by Julie Chen Moonves, the show follows a group of contestants (known as HouseGuests),
Big Brother 25 (American season)
Big_Brother_25_(American_season)
Taiwanese dentist and politician (born 1952)
Chen Shih-chung (Chinese: 陳時中; pinyin: Chén Shízhōng; born December 27, 1952) is a Taiwanese dental surgeon and politician. He served as the head of the
Chen_Shih-chung
Transformers character
Come Full Circle With Optimus Prime, Not Megatron, Now Turning Into a Nerf Blaster". Gizmodo. Retrieved July 2, 2026. Chen, Dalson. "3-hour standoff ends
Megatron
Canadian singer (born 1988)
Lin in the Canadian science fiction series Dark Matter and as Officer Lucy Chen in the American police procedural drama series The Rookie. Melissa O'Neil
Melissa_O'Neil
Chinese actress
Unicorn Girl (2020). Chen Yao was born in Panzhihua, Sichuan, China. Chen graduated from the Beijing Film Academy in 2017. Chen made her acting debut
Chen_Yao_(actress)
Taiwanese politician
Chen Tan-sun (Chinese: 陳唐山; pinyin: Chén Tángshān; Pe̍h-ōe-jī: Tân Tông-san; born 16 September 1935), also known by his English name Mark Chen, is a Taiwanese
Mark_Chen
Chinese academic and politician
Prime Minister Keir Starmer and Serbian President Aleksandar Vučić in 2026. PhD graduate 1993 - Chen Jining - website of Imperial College London Chen
Chen_Jining
British political satire sitcom (1980–1988)
episodes each, first transmitted on BBC2 from 1980 to 1984. A sequel, Yes, Prime Minister, ran for 16 episodes from 1986 to 1988. All but one of the episodes
Yes_Minister
Prime number one less or more than a factorial
factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes (for
Factorial_prime
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