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Erdős problem 1142

Are there infinitely many n>2n > 2 such that n2kn - 2^k is prime for all k1k \geq 1 with 2k<n2^k < n?

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FormalConjectures/ErdosProblems/

1142.lean

Retained formal statement2 of 10

105105 satisfies the Erdős 1142 property: the largest known example. 1052=103105 - 2 = 103, 1054=101105 - 4 = 101, 1058=97105 - 8 = 97, 10516=89105 - 16 = 89, 10532=73105 - 32 = 73, 10564=41105 - 64 = 41.

FormalConjectures/ErdosProblems/1142.leanErdos1142.erdos_1142.test_1051 lineExact file
Erdos1142.Erdos1142Prop 105
TestStatement only, no proof

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