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A164313
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LCM of all differences of odd primes up to prime(n).
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0
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2, 4, 24, 120, 840, 1680, 5040, 720720, 720720, 24504480, 465585120, 465585120, 465585120, 53542288800, 160626866400, 4658179125600, 288807105787200, 288807105787200, 288807105787200, 10685862914126400, 10685862914126400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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COMMENTS
| That is, we compute the LCM of all differences prime(i)-prime(j) for 1 < j < i <= n.
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REFERENCES
| P. Erdos: Some problems on number theory, Analytic and elementary number theory (Marseille, 1983), Publ. Math. Orsay, 86-1, pp. 53-67, Univ. Paris XI, Orsay, 1986.
P. Erdos: Some problems on number theory, Proceedings of the seventeenth Southeastern international conference on combinatorics, graph theory, and computing (Boca Raton, Fla., 1986 Congr. Numer. 54 (1986), 225-244.
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MATHEMATICA
| Table[p=Prime[Range[2, n]]; d=Rest[Union[Abs[Flatten[Outer[Plus, p, -p]]]]]; LCM@@d, {n, 3, 30}]
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CROSSREFS
| Sequence in context: A119036 A192382 A170931 * A087981 A002875 A110491
Adjacent sequences: A164310 A164311 A164312 * A164314 A164315 A164316
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Aug 12 2009
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