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First occurrence of n in A362465 or -1 if n is not a term in A362465.
1

%I #40 Jul 10 2023 18:47:32

%S 1,0,3,29,-1,521,-1,31751,-1,47973321,-1

%N First occurrence of n in A362465 or -1 if n is not a term in A362465.

%C All terms a(n) for even n > 4 are conjectures and conjectured to be -1. This follows from the reason derived from Polignac's conjecture that is described in A362465.

%C The requirements for the truth of the above conjecture about this sequence seem to be notably weaker than for Polignac's conjecture.

%e a(5) = 29 because it is the least number that cannot be expressed as a sum of more than 1 and fewer than 5 consecutive signed primes. The example in A362465 shows that there is a solution for 29 with 5 consecutive signed primes, but not with more than 1 and fewer than 5.

%Y Cf. A362465.

%K more,sign

%O 2,3

%A _Karl-Heinz Hofmann_ and _Peter Munn_, Apr 24 2023