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A152472 Largest primes of 'a' consecutive primes whose sum is a prime in A152471. 1


%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

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Last modified August 19 16:24 EDT 2017. Contains 290809 sequences.