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Continue with summing & priming the A154422 (Level 4) list to level 5.
2

%I #1 Feb 27 2009 03:00:00

%S 2,50575480513,1663807730918617976723,14304824932873646803553,

%T 28817336920092499216069,20284632396728311969809131,

%U 168804229342169123733371839,909257309497199880752121319

%N Continue with summing & priming the A154422 (Level 4) list to level 5.

%C See comments on A153089.

%C Summed primes found after processing (probable) Prime[] :

%C 2, @Prime[1]

%C 50575480513, @Prime[4722]

%C 1663807730918617976723, @Prime[1974210]

%C 14304824932873646803553, @Prime[2903172]

%C 28817336920092499216069, @Prime[3420082]

%C 20284632396728311969809131, @Prime[15247238]

%C 168804229342169123733371839, @Prime[22642082]

%C 909257309497199880752121319, @Prime[33274714]

%C 9026355522011136010570106131, @Prime[53094426]

%C 12263815980529982423068511467, @Prime[57000046]

%C 21387636949994500797850359181, @Prime[65006502]

%C 56131334772184677703527026147, @Prime[78661050]

%C 62292259347481056139884911863, @Prime[81244070]

%C 83034816090925278171614867177, @Prime[85729684]

%C 155030914145470518313682423747, @Prime[96915920]

%C 197999545090257302363521955417, @Prime[101294198]

%C 253698723331018987460955136741, @Prime[106154766]

%C 425504333192275826687012761279, @Prime[122033702]

%C 482627861344449877955168125963, @Prime[124661548]

%C 589741242267992002144967999423, @Prime[129872416]

%C 619685334968034352750914408883, @Prime[131898052]

%C 721898204498044322321900684473, @Prime[134793368]

%C 905024448001289513576258053853, @Prime[140868154]

%t lst2={}; s2=0; Do[s2=s2+Prime[n]; If[PrimeQ[s2], AppendTo[lst2, s2]], {n, 4000000}]; lst3={}; s3=0; Do[s3=s3+lst2[[n]];If[PrimeQ[s3], AppendTo[lst3, s3]], {n,1,Length[lst2]}]; lst3; lst4={}; s4=0; Do[s4=s4+lst3[[n]];If[PrimeQ[s4], AppendTo[lst4, s4]], {n,1,Length[lst3]}]; lst4; lst5={}; s5=0; Do[s5=s5+lst4[[n]];If[PrimeQ[s5], AppendTo[lst5, s5]], {n,1,Length[lst4]}]; lst5

%Y A000040(Level 1),A013918(Level 2),A153089(Level 3),A154422(Level 4),A154424(Level 6)

%K nonn

%O 1,1

%A Michael J Crowe (michaelcrowe117(AT)btinternet.com), Jan 09 2009