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Numerical results for sums of five and seven biquadrates and consequences for sums of 19 biquadrates

Numerical results for sums of five and seven biquadrates and consequences for sums of 19 biquadrates

We describe the algorithms which allowed us to show that all the integers congruent to 50 modulo 80 that lie in the interval <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis 0.3651 times 10 Superscript 12 Baseline comma 1.0400 times 10 Superscript 12 Baseline right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>0.3651</mml:mn> <mml:mo>×<!-- × --></mml:mo> …