A152473 - OEIS

%I #10 Oct 27 2020 12:48:42

%S 5,53,311,1103,2647,3137,16339,44927,47123,68521,189149,337871,609533,

%T 668539,1192753,1415773,1502947,1586857,1768583,2000143,2068813,

%U 2126539,2332181,2772829,3396091,3841181,4712063,5153209,5428037,5770697

%N Primes appearing as sums in A152471.

%H Metin Sariyar, <a href="/A152473/b152473.txt">Table of n, a(n) for n = 1..2000</a>

%e 2+3 = 5 (prime); start from 2, sum of two consecutive primes is prime.

%e 5+7+11+13+17 = 53 (prime); start from 5, sum of five consecutive primes is prime;

%e 11+13+17+19+23+29+31+37+41+43+47 = 311 (prime); start from 11, sum of eleven consecutive primes is prime;

%e 19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83+89+97+101 = 1103 (prime); start from 19, sum of 19 consecutive primes is prime.

%t lst={};Do[s=0;Do[p=Prime[n];If[s==0,p0=p];s+=p,{n,a,a+Prime[a]-1}];If[PrimeQ[s],AppendTo[lst,s]],{a,1,6!}];lst

%Y Cf. A152471, A152472.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Dec 05 2008