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A373817 Positions of terms > 1 in the run-lengths of the first differences of the odd primes.

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%I A373817 #6 Jun 23 2024 14:31:24
%S A373817 2,14,34,36,42,49,66,94,98,100,107,117,147,150,169,171,177,181,199,
%T A373817 219,250,268,315,333,361,392,398,435,477,488,520,565,570,585,592,595,
%U A373817 628,642,660,666,688,715,744,765,772,778,829,842,897,906,931,932,961,1025
%N A373817 Positions of terms > 1 in the run-lengths of the first differences of the odd primes.
%C A373817 Positions of terms > 1 in A333254. In other words, the a(n)-th run of differences of odd primes has length > 1.
%e A373817 Primes 54 to 57 are {251, 257, 263, 269}, with differences (6,6,6). This is the 49th run, and the first of length > 2.
%t A373817 Join@@Position[Length /@ Split[Differences[Select[Range[1000],PrimeQ]]] // Most,x_Integer?(#>1&)]
%Y A373817 Positions of adjacent equal prime gaps are A064113.
%Y A373817 Positions of adjacent unequal prime gaps are A333214.
%Y A373817 Positions of terms > 1 in A333254, run-lengths A373821, firsts A335406.
%Y A373817 A000040 lists the primes, differences A001223.
%Y A373817 A027833 gives antirun lengths of odd primes, run-lengths A373820.
%Y A373817 A046933 counts composite numbers between primes.
%Y A373817 A065855 counts composite numbers up to n.
%Y A373817 A071148 gives partial sums of odd primes.
%Y A373817 Cf. A006560, A006562, A029707, A031217, A037201, A038664, A069010, A073051, A089180, A251092.
%K A373817 nonn
%O A373817 1,1
%A A373817 _Gus Wiseman_, Jun 23 2024