E:16891: Revision history

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20 September 2025

  • curprev 12:5912:59, 20 September 2025‎ Andrei.Horvat talk contribs‎ m 1,478 bytes −2‎ No edit summary
  • curprev 12:5812:58, 20 September 2025‎ Andrei.Horvat talk contribs‎ 1,480 bytes +1,480‎ Created page with "'''E:16891 (Sever Pop)''' ''Determinați numerele prime <math>p</math>, <math>q</math>, <math>r</math>, distincte două câte două, pentru care are loc egalitatea <math>3p^4 - 5q^4 - 4r^2 = 26</math>.'' '''Soluție''' ''Deoarece <math>3p^4 - 5q^4=2\left(13+2r^2\right)</math> este număr par, deducem că numerele prime <math>p</math> și <math>q</math> au aceeași paritate, deci sunt impare. Cum <math>3p^4 - 5q^4>26>0</math>, avem <math>3p^3>5q^4</math>, deci <ma..."
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