When can (((x2 − p)2 − q)2 − r)2 − s2 split into linear factors?

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Abstract

We discover two infinite families of integers (P, Q, R, S) such that the polynomial (((X2 − P)2 − Q)2 − R)2 − S2 factors into linear factors.

Original languageEnglish (US)
Pages (from-to)385-390
Number of pages6
JournalExperimental Mathematics
Volume17
Issue number4
DOIs
StatePublished - Jan 1 2008

Keywords

  • Elliptic curve
  • Nested squares

ASJC Scopus subject areas

  • Mathematics(all)

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