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%I #6 Nov 27 2016 22:02:25
%S 2,3,13,41,107,227,503,881,1409,2039,2819,3947,5273,6869,8699,11549,
%T 15377,19937,24593,30809,38069,47939,58379,69257,82787,98897,115733,
%U 133499,152027,172127,192833,218711,247391,279269,315047,355517,399473,444623
%N Primes, starting with a(1)=2, whose successive differences are increasing triangular numbers.
%t lst={1};p[1]=2;p[n_]:=p[n]=Module[{i=Last[lst]+1},
%t While[!PrimeQ[p[n-1]+i*(i-1)/2],i++];AppendTo[lst,i];p[n-1]+i*(i-1)/2];
%t p/@Range[50]
%Y Cf. A088173, A275030.
%K easy,nonn
%O 1,1
%A _Ivan N. Ianakiev_, Nov 13 2016