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math.NT2013★ 9 cited
Numerical Verification of the Ternary Goldbach Conjecture up to 8.875e30
H. A. Helfgott, David J. Platt
We describe a computation that confirms the ternary Goldbach Conjecture up to 8,875,694,145,621,773,516,800,000,000,000 (>8.875e30).
math.NT2013★ 30 cited
Major arcs for Goldbach's problem
H. A. Helfgott
The ternary Goldbach conjecture states that every odd number is the sum of three primes. The estimation of the Fourier series and related sums has…