Prime values of a^2+p^4
Many remarkably difficult conjectures in prime number theory take the form that there are infinitely many primes in some set of natural numbers S . In many interesting examples, we even have conjectured asymptotic formulas for the number of primes in S . Thus, we think that there are infinitely many...
| Автори: | , |
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| Формат: | Journal article |
| Опубліковано: |
Springer
2016
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| _version_ | 1826299502156316672 |
|---|---|
| author | Heath-Brown, D Li, X |
| author_facet | Heath-Brown, D Li, X |
| author_sort | Heath-Brown, D |
| collection | OXFORD |
| description | Many remarkably difficult conjectures in prime number theory take the form that there are infinitely many primes in some set of natural numbers S . In many interesting examples, we even have conjectured asymptotic formulas for the number of primes in S . Thus, we think that there are infinitely many primes of the form p + 2, a^2 + 1, a^2 + b^6, and so on. |
| first_indexed | 2024-03-07T05:02:54Z |
| format | Journal article |
| id | oxford-uuid:d8ec6ac1-515b-4908-b76e-c68e6cb0d41c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:02:54Z |
| publishDate | 2016 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d8ec6ac1-515b-4908-b76e-c68e6cb0d41c2022-03-27T08:52:13ZPrime values of a^2+p^4Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d8ec6ac1-515b-4908-b76e-c68e6cb0d41cSymplectic Elements at OxfordSpringer2016Heath-Brown, DLi, XMany remarkably difficult conjectures in prime number theory take the form that there are infinitely many primes in some set of natural numbers S . In many interesting examples, we even have conjectured asymptotic formulas for the number of primes in S . Thus, we think that there are infinitely many primes of the form p + 2, a^2 + 1, a^2 + b^6, and so on. |
| spellingShingle | Heath-Brown, D Li, X Prime values of a^2+p^4 |
| title | Prime values of a^2+p^4 |
| title_full | Prime values of a^2+p^4 |
| title_fullStr | Prime values of a^2+p^4 |
| title_full_unstemmed | Prime values of a^2+p^4 |
| title_short | Prime values of a^2+p^4 |
| title_sort | prime values of a 2 p 4 |
| work_keys_str_mv | AT heathbrownd primevaluesofa2p4 AT lix primevaluesofa2p4 |