[seqfan] Re: A112775: consecutive terms with common gap 1.

[Hans Havermann]

> For n=10083 and 214983, n through n+11 are terms in A112775 (Numbers n such that 6n+1 is semiprime). Are there longer sets of consecutive terms with common gap 1 in  A112775?

Smallest term starting exactly-n consecutive terms: 4, 8, 48, 41, 487, 566, 222, 3269, 8943, 3133, 49530, 10083, 2894116, 37065885, ... [I see you already found that last one.]

> The same Q for A112776 (Numbers n such that 6n+5 is semiprime).

Smallest term starting exactly-n consecutive terms: 5, 25, 60, 33, 229, 289, 413, 359, 1384, 43798, 594853, 152053, 764672, 12465371, 31129, ...