| If level 1 sum primes is the prime number list A000040.
and level 2 sum primes is the list A013918 then the above list is level 3.
Continue with summing & priming for Level 4 sum primes which are
2, 50575480511, 158413287841, 379787123171, 88082548147771,
3939163325960453, 4342203121792903, 41672041797268133, 92013021551247323,
145937058697288751, 157891295660264779, 270930872865589619,...
Again continue with summing & priming for Level 5 sum primes which are
2, 50575480513, 1663807730918617976723, 14304824932873646803553,
28817336920092499216069, 20284632396728311969809131,
168804229342169123733371839,909257309497199880752121319,...
Again continue with summing & priming for Level 6 sum primes which are
2, @Prime[1]
22388562459746799685433396747, @Prime[57000046]
????
Initially found using Mathematica then a NTL+C program using Miller-witness
10 trials.Checked summed primes with PrimeQ[].
| 