journal6 ›› 2000, Vol. 21 ›› Issue (1): 30-31.

• Mathematics • Previous Articles     Next Articles

The Prime Powers in Sums of Squares of Two Consecutive Positive Integers


  1. ( Department of MathematicsMaoming Educational College, Maoming 525000, Guangdong China)
  • Online:2000-03-15 Published:2013-01-16

Abstract: Let x,n be positive integers, and let p be a prime. In this paper we prove that if p>109 and x2+(x+1)2= pn, then either n= 1 or n= 2.

Key words: consecutive positive integers, sum of squares, prime power

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