|
%I
%S 3,17,47,101,163,179,439,757,773,953,1621,2251,3067,3251,4391,4801,
%T 4969,5101,5431,5783,5861,5953,6269,6863,7643,8179,9103,9497,9781,
%U 10103,10607,11083,11503,12487,15331,15959,18233,18617,19447,19861,20719
%N Largest primes of 'a' consecutive primes whose sum is a prime in A152471.
%C 2+3=5(prime);start from 2, sum of two consecutive primes is prime; 5+7+11+13+17=53(prime);start from 5, sum of five consecutive primes is prime; 11+13+17+19+23+29+31+37+41+43+47=311(prime);start from 11, sum of eleven consecutive primes is prime; 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,p]],{a,1,6!}];lst
%Y Cf. A152471
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Dec 05 2008
|