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 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 (see A076814). 2
 173329, 2723401, 7473769, 8941585, 9001465, 12978889, 13036537, 20273569, 36595345, 36682537, 52600465, 52774873, 52961113, 67138681, 67302601, 67473265, 78972121, 116515177, 121251433, 121560049, 123179113, 124184545, 124416361, 130951609, 141215449 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS FORMULA (prime(n)^2+prime(n+1)^2+prime(n+2)^2+prime(n+3)^2+prime(n+4)^2)/5. EXAMPLE 173329 is OK because, starting with n=79, five successive primes squared has average 173329. MATHEMATICA Select[Mean/@Partition[Prime[Range[2000]]^2, 5, 1], IntegerQ] (* Harvey P. Dale, May 22 2021 *) CROSSREFS Cf. A076815. Sequence in context: A233488 A233483 A251117 * A204792 A281621 A147314 Adjacent sequences:  A076811 A076812 A076813 * A076815 A076816 A076817 KEYWORD easy,nonn AUTHOR Zak Seidov, Oct 17 2002 EXTENSIONS More terms from Harvey P. Dale, May 22 2021 STATUS approved

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Last modified September 23 02:41 EDT 2021. Contains 347609 sequences. (Running on oeis4.)