How Are the Prime Numbers Distributed?
Identifieur interne : 000270 ( Main/Exploration ); précédent : 000269; suivant : 000271How Are the Prime Numbers Distributed?
Auteurs : Paulo Ribenboim [Canada]Source :
Abstract
Abstract: As I have already stressed, the various proofs of existence of infinitely many primes are not constructive and do not give an indication of how to determine the nth prime number. Equivalently, the proofs do not indicate how many primes are less than any given number N. By the same token, there is no reasonable formula or function representing primes.
Url:
DOI: 10.1007/978-1-4612-0759-7_5
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000445
- to stream Istex, to step Curation: 000398
- to stream Istex, to step Checkpoint: 000258
- to stream Main, to step Merge: 000271
- to stream Main, to step Curation: 000270
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">How Are the Prime Numbers Distributed?</title><author><name sortKey="Ribenboim, Paulo" sort="Ribenboim, Paulo" uniqKey="Ribenboim P" first="Paulo" last="Ribenboim">Paulo Ribenboim</name><affiliation><country>Canada</country><placeName><settlement type="city">Kingston (Ontario)</settlement><region type="state">Ontario</region></placeName><orgName type="university" n="3">Université Queen's</orgName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:C449B09D6CA9C38FCFE438F976E472544829B6C2</idno><date when="1996" year="1996">1996</date><idno type="doi">10.1007/978-1-4612-0759-7_5</idno><idno type="url">https://api.istex.fr/document/C449B09D6CA9C38FCFE438F976E472544829B6C2/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000445</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000445</idno><idno type="wicri:Area/Istex/Curation">000398</idno><idno type="wicri:Area/Istex/Checkpoint">000258</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000258</idno><idno type="wicri:Area/Main/Merge">000271</idno><idno type="wicri:Area/Main/Curation">000270</idno><idno type="wicri:Area/Main/Exploration">000270</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">How Are the Prime Numbers Distributed?</title><author><name sortKey="Ribenboim, Paulo" sort="Ribenboim, Paulo" uniqKey="Ribenboim P" first="Paulo" last="Ribenboim">Paulo Ribenboim</name><affiliation wicri:level="4"><country xml:lang="fr">Canada</country><wicri:regionArea>Department of Mathematics and Statistics, Queen’s University, K7L 3N6, Kingston, Ontario</wicri:regionArea><orgName type="university">Université Queen's</orgName><placeName><settlement type="city">Kingston (Ontario)</settlement><region type="state">Ontario</region></placeName><placeName><settlement type="city">Kingston (Ontario)</settlement><region type="state">Ontario</region></placeName><orgName type="university" n="3">Université Queen's</orgName></affiliation></author></analytic><monogr></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: As I have already stressed, the various proofs of existence of infinitely many primes are not constructive and do not give an indication of how to determine the nth prime number. Equivalently, the proofs do not indicate how many primes are less than any given number N. By the same token, there is no reasonable formula or function representing primes.</div></front></TEI><affiliations><list><country><li>Canada</li></country><region><li>Ontario</li></region><settlement><li>Kingston (Ontario)</li></settlement><orgName><li>Université Queen's</li></orgName></list><tree><country name="Canada"><region name="Ontario"><name sortKey="Ribenboim, Paulo" sort="Ribenboim, Paulo" uniqKey="Ribenboim P" first="Paulo" last="Ribenboim">Paulo Ribenboim</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/SophieGermainV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000270 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000270 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= SophieGermainV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:C449B09D6CA9C38FCFE438F976E472544829B6C2
|texte= How Are the Prime Numbers Distributed?
}}
| This area was generated with Dilib version V0.6.33. |  |