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%I #15 Jan 12 2022 11:35:28
%S 2,5,7,13,19,31,43,61,73,103,109,139,151,181,193,199,229,241,271,283,
%T 313,349,421,433,463,523,571,601,619,643,661,811,823,829,859,883,1021,
%U 1033,1051,1063,1093,1153,1231,1279,1291,1303,1321,1429,1453,1483,1489
%N Beginning with 2, increasing primes such that the sum of successive differences is also prime.
%C 2 along with the larger member of twin primes.
%H Vincenzo Librandi, <a href="/A094743/b094743.txt">Table of n, a(n) for n = 1..1000</a>
%t f[s_List] := Block[{p = NextPrime@ s[[ -1]]}, While[ !PrimeQ[p - 2], p = NextPrime@p]; Append[s, p]]; Nest[f, {2}, 50] (* _Robert G. Wilson v_, Aug 09 2010 *)
%o (PARI) list(lim)=my(v=List([2]),s,p=2); forprime(q=5,lim, if(isprime(s+q-p), listput(v,q); s+=q-p; p=q)); Vec(v) \\ _Charles R Greathouse IV_, Jan 12 2022
%Y Cf. A006512, A094744.
%K nonn
%O 1,1
%A _Amarnath Murthy_, May 24 2004
%E Changed offset from 0 to 1 by _Vincenzo Librandi_, Apr 14 2013
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