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Divergence of the Sum of the Reciprocals of Prime Numbers and the Second Mertens Theorem#1690

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Divergence of the Sum of the Reciprocals of Prime Numbers and the Second Mertens Theorem#1690
LucasMalaizier wants to merge 4 commits intomath-comp:masterfrom
LucasMalaizier:divsuminvprim

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  • Definition of the sequence of prime numbers, prime_seq
  • Proof of its growth and correctness
  • Proof of the divergence of the sum of the reciprocals of prime numbers
  • Proof of the discrete and continuous Abel transformations
  • Proof of a comparison relation for the first Chebyshev function
  • Incomplete proof of the second Mertens theorem (assuming the first as given)

LucasMalaizier added 4 commits July 2, 2025 18:07
Prime numbers sequence
Divergence of the sum of inverse of the prime numbers
Abel transformation (discrete and continuous)
First Tchebychev function majoration
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