Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Primorial_prime> ?p ?o }
Showing triples 1 to 57 of
57
with 100 triples per page.
- Primorial_prime abstract "In mathematics, primorial primes are prime numbers of the form pn# ± 1, where pn# is the primorial of pn (that is, the product of the first n primes). According to this definition, pn# − 1 is prime for n = 2, 3, 5, 6, 13, 24, ... (sequence A057704 in OEIS) pn# + 1 is prime for n = 1, 2, 3, 4, 5, 11, ... (sequence A014545 in OEIS)The first few primorial primes are2, 3, 5, 7, 29, 31, 211, 2309, 2311, 30029, 200560490131, 304250263527209, 23768741896345550770650537601358309As of 28 February 2012, the largest known primorial prime is 1098133# − 1 (n = 85586) with 476,311 digits, found by the PrimeGrid project.Euclid's proof of the infinitude of the prime numbers is commonly misinterpreted as defining the primorial primes, in the following manner: Assume that the first n consecutive primes including 2 are the only primes that exist. If either pn# + 1 or pn# − 1 is a primorial prime, it means that there are larger primes than the nth prime (if neither is a prime, that also proves the infinitude of primes, but less directly; note that each of these two numbers has a remainder of either p − 1 or 1 when divided by any of the first n primes, and hence cannot be a multiple of any of them).↑ ↑ ↑".
- Primorial_prime wikiPageExternalLink page.php?id=5.
- Primorial_prime wikiPageID "409348".
- Primorial_prime wikiPageLength "2850".
- Primorial_prime wikiPageOutDegree "22".
- Primorial_prime wikiPageRevisionID "665144016".
- Primorial_prime wikiPageWikiLink 211_(number).
- Primorial_prime wikiPageWikiLink 29_(number).
- Primorial_prime wikiPageWikiLink 2_(number).
- Primorial_prime wikiPageWikiLink 31_(number).
- Primorial_prime wikiPageWikiLink 3_(number).
- Primorial_prime wikiPageWikiLink 5_(number).
- Primorial_prime wikiPageWikiLink 7_(number).
- Primorial_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Primorial_prime wikiPageWikiLink Category:Integer_sequences.
- Primorial_prime wikiPageWikiLink Euclid.
- Primorial_prime wikiPageWikiLink Euclid_number.
- Primorial_prime wikiPageWikiLink Euclids_theorem.
- Primorial_prime wikiPageWikiLink Factorial_prime.
- Primorial_prime wikiPageWikiLink Mathematical_proof.
- Primorial_prime wikiPageWikiLink Mathematics.
- Primorial_prime wikiPageWikiLink PrimeGrid.
- Primorial_prime wikiPageWikiLink Prime_Pages.
- Primorial_prime wikiPageWikiLink Prime_number.
- Primorial_prime wikiPageWikiLink Primorial.
- Primorial_prime wikiPageWikiLinkText "Primorial prime".
- Primorial_prime wikiPageWikiLinkText "adjacent to 2 primes".
- Primorial_prime wikiPageWikiLinkText "primorial prime".
- Primorial_prime wikiPageUsesTemplate Template:As_of.
- Primorial_prime wikiPageUsesTemplate Template:Merge.
- Primorial_prime wikiPageUsesTemplate Template:Num-stub.
- Primorial_prime wikiPageUsesTemplate Template:OEIS.
- Primorial_prime wikiPageUsesTemplate Template:Prime_number_classes.
- Primorial_prime wikiPageUsesTemplate Template:Reflist.
- Primorial_prime subject Category:Classes_of_prime_numbers.
- Primorial_prime subject Category:Integer_sequences.
- Primorial_prime hypernym Numbers.
- Primorial_prime type Plant.
- Primorial_prime type Class.
- Primorial_prime type Combinatoric.
- Primorial_prime type Integer.
- Primorial_prime type Redirect.
- Primorial_prime comment "In mathematics, primorial primes are prime numbers of the form pn# ± 1, where pn# is the primorial of pn (that is, the product of the first n primes). According to this definition, pn# − 1 is prime for n = 2, 3, 5, 6, 13, 24, ... (sequence A057704 in OEIS) pn# + 1 is prime for n = 1, 2, 3, 4, 5, 11, ...".
- Primorial_prime label "Primorial prime".
- Primorial_prime sameAs Q2085786.
- Primorial_prime sameAs Nombre_premier_primoriel.
- Primorial_prime sameAs Primoriálisprím.
- Primorial_prime sameAs Primo_primoriale.
- Primorial_prime sameAs 素数階乗素数.
- Primorial_prime sameAs Primoriaal_priemgetal.
- Primorial_prime sameAs m.024w2x.
- Primorial_prime sameAs Праймориальное_простое.
- Primorial_prime sameAs Primorielno_praštevilo.
- Primorial_prime sameAs Q2085786.
- Primorial_prime sameAs 質數階乘質數.
- Primorial_prime wasDerivedFrom Primorial_prime?oldid=665144016.
- Primorial_prime isPrimaryTopicOf Primorial_prime.