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A206037
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Values of the difference d for 3 primes in arithmetic progression with the minimal start sequence {3 + j*d}, j = 0 to 2.
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9
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2, 4, 8, 10, 14, 20, 28, 34, 38, 40, 50, 64, 68, 80, 94, 98, 104, 110, 124, 134, 154, 164, 178, 188, 190, 208, 220, 230, 238, 248, 260, 280, 308, 314, 328, 344, 370, 418, 428, 430, 440, 454, 458, 484, 518, 544, 560, 574, 584, 610, 614, 628, 638, 640, 644, 650
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OFFSET
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1,1
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COMMENTS
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The computations were done without any assumptions on the form of d
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REFERENCES
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S. A. Khan, Primes in Geometric-Arithmetic Progression, Arxiv preprint arXiv:1203.2083, 2012. - From N. J. A. Sloane, Sep 15 2012
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LINKS
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Sameen Ahmed Khan, Table of n, a(n) for n = 1..10000
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EXAMPLE
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d = 8 then {3, 3 + 1*8, 3 + 2*8} = {3, 11, 19}, which is 3 primes in arithmetic progression.
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MATHEMATICA
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t={}; Do[If[PrimeQ[{3, 3 + d, 3 + 2*d}] == {True, True, True}, AppendTo[t, d]], {d, 1000}]; t
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CROSSREFS
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Cf. A040976, A206038, A206039, A206040, A206041, A206042, A206043, A206044, A206045.
Sequence in context: A088967 A200566 A091992 * A089033 A049422 A178215
Adjacent sequences: A206034 A206035 A206036 * A206038 A206039 A206040
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KEYWORD
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nonn
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AUTHOR
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Sameen Ahmed Khan, Feb 03 2012
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STATUS
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approved
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