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A154424 Continue with summing & priming the A154423 (Level 5) list to level 6. 2
2, 22388562459746799685433396747, 805356826229750685152751618123101, 689400380025917209087935611674203155791, 3105808024815442289202546027249327480961, 20662615055094927265669723508498824139849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See comments on A153089.

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

2, @Prime[1]

22388562459746799685433396747, @Prime[57000046]

805356826229750685152751618123101, @Prime[384411248]

???

Currently searched to (probable) Prime[10^9] using a NTL+C program using Miller-witness 10 trials. Checked summed primes with PrimeQ[].

From Michael J Crowe (michaelcrowe117(AT)btinternet.com), Mar 16 2009: (Start)

689400380025917209087935611674203155791, @Prime[4772152782]

3105808024815442289202546027249327480961, @Prime[6288823330]

20662615055094927265669723508498824139849, @Prime[8828698784]

(End)

LINKS

Table of n, a(n) for n=1..6.

MATHEMATICA

lst2={}; s2=0; Do[s2=s2+Prime[n]; If[PrimeQ[s2], AppendTo[lst2, s2]], {n, 10^9}]; 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; lst6={}; s6=0; Do[s6=s6+lst5[[n]]; If[PrimeQ[s6], AppendTo[lst6, s6]], {n, 1, Length[lst5]}]; lst6

CROSSREFS

Cf. A000040 (Level 1), A013918 (Level 2), A153089 (Level 3), A154422 (Level 4), A154423 (Level 5).

Sequence in context: A273400 A118019 A309966 * A100267 A176935 A257228

Adjacent sequences:  A154421 A154422 A154423 * A154425 A154426 A154427

KEYWORD

nonn,more,uned,less

AUTHOR

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

EXTENSIONS

a(4)-a(6) added by Michael J Crowe (michaelcrowe117(AT)btinternet.com), Mar 16 2009

STATUS

approved

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Last modified November 18 17:45 EST 2019. Contains 329287 sequences. (Running on oeis4.)