This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 4500 articles have referenced us, often saying "we would not have discovered this result without the OEIS".

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 25 03:06 EST 2015. Contains 264405 sequences.