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.
%I A076814 #10 Apr 16 2025 22:37:11 %S A076814 173329,2723401,7473769,8941585,9001465,12978889,13036537,20273569, %T A076814 36595345,36682537,52600465,52774873,52961113,67138681,67302601, %U A076814 67473265,78972121,116515177,121251433,121560049,123179113,124184545,124416361,130951609,141215449 %N A076814 Integer averages of five successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2+prime(n+3)^2+prime(n+4)^2)/5, for some n. %C A076814 Unlike the average of two, three or four successive primes squares, the average of five successive primes squared is not always an integer. The values of starting index in the sequence of five successive primes squared having integer average are in A076815. %F A076814 (prime(n)^2+prime(n+1)^2+prime(n+2)^2+prime(n+3)^2+prime(n+4)^2)/5. %e A076814 173329 is OK because, starting with n=79, five successive primes squared has average 173329. %t A076814 Select[Mean/@Partition[Prime[Range[2000]]^2,5,1],IntegerQ] (* _Harvey P. Dale_, May 22 2021 *) %Y A076814 Cf. A076815. %K A076814 easy,nonn %O A076814 1,1 %A A076814 _Zak Seidov_, Oct 17 2002 %E A076814 More terms from _Harvey P. Dale_, May 22 2021