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Mathematics of Computation· 2013Q1

Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸

Tomás Oliveira e Silva, Siegfried Herzog, Silvio Pardi

Short summary

The even Goldbach conjecture, stating every even integer greater than 2 is the sum of two primes, is verified up to 4⋅10¹⁸, extending previous bounds.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics