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A133529
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Sum of squares of three consecutive primes.
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32
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38, 83, 195, 339, 579, 819, 1179, 1731, 2331, 3171, 4011, 4899, 5739, 6867, 8499, 10011, 11691, 13251, 14859, 16611, 18459, 21051, 24219, 27531, 30219, 32259, 33939, 36099, 40779, 46059, 52059, 55251, 60291, 64323, 69651, 74019, 79107, 84387, 89859, 94731, 101283
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OFFSET
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1,1
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COMMENTS
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It is easy to see that all terms > 83 are divisible by 3.
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LINKS
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FORMULA
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EXAMPLE
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a(1)=38 because 2^2 + 3^2 + 5^2 = 38.
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MATHEMATICA
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a = 2; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
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PROG
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(PARI) for( n= 1, 100, k= sum(i=n, n+2, prime(i)^2) ; print1(k, ", ")) \\ K. D. Bajpai, Jun 17 2015
(Magma) [&+[ NthPrime(n+i)^2 : i in [0..2]] : n in [1..20]]; // K. D. Bajpai, Jun 17 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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