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.

A133529 Sum of squares of three consecutive primes.

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%I A133529 #18 Sep 08 2022 08:45:32
%S A133529 38,83,195,339,579,819,1179,1731,2331,3171,4011,4899,5739,6867,8499,
%T A133529 10011,11691,13251,14859,16611,18459,21051,24219,27531,30219,32259,
%U A133529 33939,36099,40779,46059,52059,55251,60291,64323,69651,74019,79107,84387,89859,94731,101283
%N A133529 Sum of squares of three consecutive primes.
%C A133529 It is easy to see that all terms > 83 are divisible by 3.
%C A133529 Likewise all terms except 38 are congruent to 3 (mod 8). - _Franklin T. Adams-Watters_, Jun 17 2015
%H A133529 K. D. Bajpai, <a href="/A133529/b133529.txt">Table of n, a(n) for n = 1..10000</a>
%F A133529 a(n) = A069484(n) + A001248(n+2). - _Michel Marcus_, Nov 08 2013
%e A133529 a(1)=38 because 2^2 + 3^2 + 5^2 = 38.
%t A133529 a = 2; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
%t A133529 Total/@Partition[Prime[Range[50]]^2, 3, 1] (* _Vincenzo Librandi_, Jun 18 2015 *)
%o A133529 (PARI)  for( n= 1, 100,  k= sum(i=n, n+2, prime(i)^2) ; print1(k, ", ")) \\ _K. D. Bajpai_, Jun 17 2015
%o A133529 (Magma)  [&+[ NthPrime(n+i)^2 :  i in [0..2]] : n in [1..20]]; // _K. D. Bajpai_, Jun 17 2015
%Y A133529 Cf. A034963, A133524-A133528, A133530-A133533.
%K A133529 nonn
%O A133529 1,1
%A A133529 _Artur Jasinski_, Sep 14 2007
%E A133529 a(38)-a(41) from _K. D. Bajpai_, Jun 18 2015