cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A133561 Numbers n for which sum of squares of seven consecutive primes(n,n+1,n+2,n+3,n+4,n+5,n+6) is prime.

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%I A133561 #23 Jul 28 2018 10:39:10
%S A133561 3,5,6,8,9,10,14,18,19,20,21,26,32,34,37,38,39,41,44,47,49,52,53,54,
%T A133561 59,60,63,64,66,68,70,71,75,83,88,89,91,92,97,100,107,108,110,112,113,
%U A133561 117,122,125,128,129,131,135,141,142,150,151,157,158,165,168,169,178,183
%N A133561 Numbers n for which sum of squares of seven consecutive primes(n,n+1,n+2,n+3,n+4,n+5,n+6) is prime.
%C A133561 For sum of squares of two consecutive primes only 2^2+3^2=13 is prime.
%C A133561 For sum of squares of three consecutive primes A133529 seems that only 83 belonging (checked for all n<1000000).
%C A133561 Sums of squares of four (and all even number) of consecutive primes are even numbers with exception n=1 but 2^2+3^2+5^2+7^2=87=3*29 is not prime.
%C A133561 Sums of squares of five of consecutive primes A133559.
%C A133561 Sums of squares of seven of consecutive primes A133562.
%H A133561 Seiichi Manyama, <a href="/A133561/b133561.txt">Table of n, a(n) for n = 1..1000</a>
%e A133561 a(3)=6 because prime(6)^2+prime(7)^2+prime(8)^2+prime(9)^2+prime(10)^2+prime(11)^2+prime(12)^2 = 13^2+17^2+19^2+23^2+29^2+31^2+37^2=4519 is prime.
%p A133561 select(n->isprime(add(ithprime(n+k)^2,k=0..6)),[$1..200]); # _Muniru A Asiru_, Jul 28 2018
%t A133561 b = {}; a = 2; Do[k = Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a + Prime[n + 4]^a + Prime[n + 5]^a + Prime[n + 6]^a; If[PrimeQ[k], AppendTo[b, n]], {n, 1, 100}]; b
%o A133561 (PARI) is(n) = ispseudoprime(sum(i=0, 6, prime(n+i)^2)) \\ _Felix Fröhlich_, Jul 28 2018
%Y A133561 Cf. A133538, A133559, A133562.
%K A133561 nonn
%O A133561 1,1
%A A133561 _Artur Jasinski_, Sep 16 2007