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Indices of records in A295741(n) = min {d > 0 | primorial(n)/d + d is a prime}.
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%I #14 Apr 20 2026 15:00:34

%S 0,6,7,8,9,13,16,22,32,43,45,82,97,145,162,188,214,224,330,358,394,

%T 483,688,715,763,1046,1167,1450,1460,1580,1745

%N Indices of records in A295741(n) = min {d > 0 | primorial(n)/d + d is a prime}.

%C The initial term might have been 1 as well, since A295741(0) = A295741(1) as 0! = 1!.

%C It is still only conjectured that A295741(n) > 0 for all n, therefore it seems interesting to study those n which yield exceptionally high values.

%o (PARI) my(r=0); for(n=0,oo, A295741(n)>r && print1(n", ")+r=A295741(n))

%Y Cf. A295741, A002110.

%K nonn,more

%O 1,2

%A _M. F. Hasler_, Apr 11 2026

%E a(26)-a(31) from _Michael S. Branicky_, Apr 19 2026