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A066515
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Numbers n such that p(n+1)+p(n-2)=2p(n-1), where p(m) is the m-th prime.
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1
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13, 20, 60, 93, 113, 116, 141, 212, 234, 254, 262, 269, 277, 286, 292, 295, 302, 323, 353, 359, 370, 390, 408, 418, 474, 501, 543, 599, 613, 625, 715, 719, 724, 743, 820, 934, 940, 995, 999, 1017, 1099, 1120, 1264, 1300, 1313, 1401, 1415, 1419, 1423
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Equivalently, n such that f(n) = f(n-2)-f(n-1) where f is the prime gaps function given by f(m) = p(m+1)-p(m).
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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MATHEMATICA
| Select[ Range[ 3, 1440 ], Prime[ #+1 ]+Prime[ #-2 ]==2Prime[ #-1 ]& ]
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PROG
| (PARI) { n=0; for (m=3, 10^10, if (prime(m+1) + prime(m-2) == 2*prime(m-1), write("b066515.txt", n++, " ", m); if (n==1000, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 20 2010]
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CROSSREFS
| Sequence in context: A164462 A164508 A132946 * A166656 A032693 A034294
Adjacent sequences: A066512 A066513 A066514 * A066516 A066517 A066518
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KEYWORD
| nonn
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AUTHOR
| Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 04 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Jan 10, 2002.
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