prime number

See also: prime-number

English

Noun

prime number (plural prime numbers)

(number theory) Any natural number that is greater than 1 and is divisible only by itself and 1.
- 2013 July-August, Sarah Glaz, “Ode to Prime Numbers”, in American Scientist, volume 101, number 4:
  Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.
Every natural number greater than 1 can be factorized into prime numbers.

Usage notes

Modern mathematical usage specifies that 1 is not a prime number (as has been defined here); some older texts consider 1 to be a prime number.

Synonyms

prime

Antonyms

composite number

Hypernyms

number

Hyponyms

Hyponyms of prime number

additive prime number
annihilating prime number
Bell number prime number
Carol prime number
Catalan prime number
centered decagonal prime number
centered heptagonal prime number
centered square prime number
centered triangular prime number
Chen prime number
circular prime number
cousin prime number
Cuban prime number
Cullen prime number
delannoy number prime number
deletable prime number
dihedral prime number
double factorial prime number
double Mersenne prime number
Eisenstein prime number without imaginary part
emirp
Euclid-Mullin Sequence prime number
Euclid prime number
Euler irregular prime number
even prime number

factorial prime number
Fermat prime number
Fibonacci prime number
fortunate prime number
Gaussian prime number
generalized Fermat prime number base 10
Genocchi number prime number
Gilda's prime number
good prime number
happy prime number
harmonic prime number
Higgs prime number for squares
highly cototient number prime number
irregular prime number
isolated prime number
Kynea prime number
left-truncatable prime number
Leyland prime number
long prime number
Lucas prime number
lucky prime number
Markov prime number
Mersenne prime number
Mills prime number
minimal prime number

Motzkin prime number
Newman–Shanks–Williams prime number
non-generous prime number
odd prime number
Padovan prime number
palindromic prime number
palindromic wing prime number
partition prime number
Pell prime number
permutable prime number
Perrin prime number
Pierpont prime number
Pillai prime number
prime number of Binary Quadratic Form
primeval prime number
primorial prime number
Proth prime number
Pythagorean prime number
Quartan prime number
Ramanujan prime number
regular prime number
repunit prime number
right-truncatable prime number
safe prime number
Schröder-Hipparchus number prime number

Schröder prime number
self prime number
sexy prime number
Smarandache–Wellin prime number
Smarandache-Wellin prime number
Solinas prime number
Sophie Germain prime number
star prime number
Stern prime number
super-prime number
supersingular prime number
swinging prime number
Thabit number prime number
twin prime number
two-sided prime number
Ulam number prime number
unique prime number
Wagstaff prime number
Wall–Sun–Sun prime number
Weakly prime numbers
Wedderburn-Etherington number prime number
Wieferich prime number
Wilson prime number
Wolstenholme prime number
Woodall prime number

Derived terms

Terms derived from prime number

prime constellation

prime factor

prime factorization

Related terms

primality

Translations

natural number

Afrikaans: priemgetal (af)
Arabic: عَدَد أَوَّلِيّ‎‎ m (ʿadad ʾawwaliyy)
Armenian: պարզ թիվ (parz tʿiv)
Azerbaijani: sadə ədəd, əsli ədəd
Basque: zenbaki lehen
Belarusian: просты́ лік m (prostý lik)
Bengali: মৌলিক সংখ্যা (moulik śôngkkha)
Breton: niveroù kentael
Bulgarian: просто́ число́ n (prostó čisló)
Catalan: nombre primer m
Chinese:
Cantonese: 質數, 质数 (zat¹ sou³)

Mandarin: 素數 (zh), 素数 (zh) (sùshù), 質數 (zh), 质数 (zh) (zhìshù, zhíshù)

Min Nan: 素數, 素数 (sò͘-sò͘), 質數, 质数 (chit-sò͘)
Czech: prvočíslo (cs) n
Danish: primtal (da)
Dutch: priemgetal (nl) n
Esperanto: primo (eo)
Estonian: algarv (et)
Finnish: alkuluku (fi)
French: nombre premier (fr) m
Galician: número primo m
Georgian: მარტივი რიცხვი (marṭivi ricxvi)
German: Primzahl (de) f
Greek: πρώτος αριθμός (el) m (prótos arithmós)
Hebrew: מִסְפָּר רִאשׁוֹנִי‎‎ (he) m
Hindi: अभाज्य संख्या (abhājya saṅkhyā)
Hungarian: prímszám (hu)
Icelandic: frumtala (is) f, prímtala f
Indonesian: bilangan prima (id)
Irish: uimhir phríomha f
Italian: numero primo (it) m
Japanese: 素数 (ja) (そすう, sosū)
Korean: 소수 (ko) (sosu) (素數 (ko)), 씨수 (ko) (ssisu) (North Korea)
Latin: numerus primus m
Latvian: pirmskaitlis m

Lithuanian: pirminiai skaičiai
Lombard: nümar primm
Low German: Primtall
Luxembourgish: Primzuel
Manx: ard-earroo m
Maori: tau toitū
Norwegian:
Bokmål: primtall (no) n

Nynorsk: primtal n
Old English: frumtæl
Persian: عدد اول‎‎ ('adad avval)
Polish: liczba pierwsza (pl) f
Portuguese: número primo m
Romanian: număr prim (ro), numere prime n pl
Russian: просто́е число́ n (prostóje čisló)
Scottish Gaelic: prìomh-àireamh f
Serbo-Croatian:
Cyrillic: прости број m, прост број m

Roman: prosti broj m, prost broj m
Sicilian: nùmmuru primu m
Slovak: prvočíslo n
Slovene: praštevilo (sl) n
Southern Altai: тегин тоо (tegin too)
Spanish: número primo (es) m
Swedish: primtal (sv) n
Tagalog: bilang na lantay, bilang na balho
Tamil: பகா எண் (ta) (pakā eṇ)
Thai: จำนวนเฉพาะ (th) (jam-nuan chà-pór)
Turkish: asal sayı (tr)
Ukrainian: просте́ число́ n (prosté čysló)
Urdu: مفرد عدد‎‎, ولی عدد‎‎
Vietnamese: số nguyên tố (vi)
Welsh: rhif cysefin
Yiddish: פּרימצאָל‎‎ f (primtsol)
Yoruba: nọ́mbà àkọ́kọ́

See also

References

prime number on Wikipedia.Wikipedia

Further reading

Mathworld article on Prime Number

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