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%I #7 Nov 23 2023 12:55:04
%S -1,-1,0,-2,2,1,5,3,3,10,6,11,14,13,13,15,22,19,23,27,24,28,28,28,36,
%T 39,38,42,41,32,48,48,54,47,59,56,59,63,63,65,72,64,77,75,79,70,75,88,
%U 92,90,90,96,89,97,100,102,109,106,110,114,107,107,123,126,125,117,131,129,141,140,140,140,146,148,152,152
%N a(n) = floor(sqrt(2)*prime(n)) - prime(n+1).
%C Theorem: a(n) > 0 for all n > 4.
%D D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, 1996, Section VII.18, p. 247.
%t Floor[Sqrt[2]#[[1]]]-#[[2]]&/@Partition[Prime[Range[80]],2,1] (* _Harvey P. Dale_, Nov 23 2023 *)
%Y Cf. A064051.
%K sign
%O 1,4
%A _N. J. A. Sloane_, Sep 11 2019