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 A133562 Numbers which are the sum of the squares of seven consecutive primes. 2
 666, 1023, 1543, 2359, 3271, 4519, 6031, 7591, 9439, 11719, 14359, 17119, 20239, 23599, 27079, 31111, 35191, 39631, 45319, 51031, 56599, 62719, 68359, 74239, 82447, 90199, 98767, 107479, 118231, 129151, 141031, 151471, 162199, 173359 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For primes in this sequence see A133560. For sum of squares of two consecutive primes only 2^2 + 3^2 = 13 is prime. For sum of squares of three consecutive primes A133529 it seems that only 83 is a prime (checked for all n < 1000000). 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. For primes that are sums of squares of five consecutive primes see A133559. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 EXAMPLE a(6) = 13^2 + 17^2 + 19^2 + 23^2 + 29^2 + 31^2 + 37^2 = 4519. MAPLE seq(add(ithprime(n+k)^2, k=0..6), n=1..35); # Muniru A Asiru, Jul 08 2018 MATHEMATICA 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; AppendTo[b, k]], {n, 1, 100}]; b CROSSREFS Cf. A133529, A133538, A133558, A133559, A133560, A133561. Sequence in context: A171395 A069426 A093733 * A202445 A062045 A043515 Adjacent sequences: A133559 A133560 A133561 * A133563 A133564 A133565 KEYWORD nonn AUTHOR Artur Jasinski, Sep 16 2007 EXTENSIONS Edited by Michel Marcus, Jul 08 2018 STATUS approved

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Last modified June 8 18:04 EDT 2023. Contains 363165 sequences. (Running on oeis4.)