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A227412
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Primes of the form n^3 + (n+1)^3 + 2.
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2
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11, 37, 191, 857, 2333, 3061, 4943, 6121, 9011, 22817, 33203, 89533, 105527, 114193, 341993, 421381, 536771, 931087, 1005041, 1294561, 1386443, 1583047, 1911493, 2416061, 4866481, 5086811, 5199427, 5429621, 7376141, 7814207, 8903071, 9399097, 9739811, 9913213
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OFFSET
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1,1
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COMMENTS
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Primes which are sum of two consecutive cubes plus 2.
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LINKS
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FORMULA
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Primes of the form 2*n^3 + 3*n^2 + 3*n + 3.
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EXAMPLE
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a(2)=37: k^3+(k+1)^3+2= 2^3+3^3+2= 8+27+2= 37 which is prime.
a(3)=191: k^3+(k+1)^3+2= 4^3+5^3+2= 64+125+2= 191 which is prime.
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MAPLE
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KD:= proc() local a; a:= (k)^3+(k+1)^3+2; if isprime(a) then RETURN(a): fi; end: seq(KD(), k=1..500);
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MATHEMATICA
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Select[Table[(x^3+(x+1)^3+2), {x, 1000}], PrimeQ]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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