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Proof shows reciprocal sum of prime-prefix-free numbers converges
Original: The reciprocal sum of the prime-prefix-free numbers converges [pdf]
A new paper by mathematician Jonathan D. Brundan establishes that the reciprocal sum of the prime-prefix-free numbers — integers whose base-10 representation contains no prime number as a leading substring — converges to a finite value. The result settles a question analogous to the Kempner series of reciprocals of numbers lacking a given digit, drawing interest from readers following number theory and recreational mathematics.
Why now: A newly published proof resolves a curiosity in number theory similar to the classic Kempner series problem.
Jonathan D. BrundanKempner seriesprime numbers
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