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 A122382 Primes of the form Sum[ Sum[ Prime[k], {k,1,m} ], {m,1,n} ] = A014148[n]. 3

%I

%S 2,7,17,103,467,6577,17189,61627,109919,130531,198109,239579,399557,

%T 559313,1291909,1807609,2851951,3644479,5189339,5659651,6794993,

%U 6905357,7359091,9795109,19405363,20319427,36052151,40343053,42229639,44970689

%N Primes of the form Sum[ Sum[ Prime[k], {k,1,m} ], {m,1,n} ] = A014148[n].

%C Corresponding numbers n such that A014148[n] is prime are listed in A122381[n] = {1,2,3,6,10,23,31,46,55,58,66,70,82,91,118,131,151,163,182,187,198,199,...}.

%F a(n) = A014148[ A122381[n] ].

%e A014148[n] begins {2,7,17,34,62,103,161,238,338,467,627,824,1062,1343,...}.

%e a(1) = A014148[1] = 2.

%e a(2) = A014148[2] = 7.

%e a(3) = A014148[3] = 17.

%t p=0;s=0;f=0;Do[p=Prime[n];s=s+p;f=f+s;If[PrimeQ[f],Print[{n,f}]],{n,1,2000}]

%Y Cf. A014148, A122381.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, Aug 30 2006

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Last modified December 7 16:59 EST 2021. Contains 349581 sequences. (Running on oeis4.)