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A066690
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Odd n such that tau(n) = tau(n+2) = 10, where tau(n) = A000005(n) is the number of divisors of n.
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1
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127251, 649375, 1274373, 1303047, 2206519, 2388123, 2775625, 3400623, 3585625, 3627909, 4193125, 4294375, 4311873, 5707177, 6319375, 6336873, 6926875, 7128567, 7939375, 7949581, 8101537, 11280625, 11298123, 11786875
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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Do[ If[ DivisorSigma[0, 2n - 1] == DivisorSigma[0, 2n + 1] == 10, Print[2n - 1]], {n, 1, 10^7} ]
2*SequencePosition[Table[If[DivisorSigma[0, n]==10, 1, 0], {n, 1, 11786879, 2}], {1, 1}][[All, 1]]-1 (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 14 2019 *)
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PROG
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(PARI) for (n=1, 2000000, if ((numdiv(2*n-1)==10) && (numdiv(2*n+1)==10), write("tau=tau=10.txt", 2*n-1, "::", tau(2*n-1))))
(PARI) { n=0; for (m=1, 10^10, if ((numdiv(2*m-1)==10) && (numdiv(2*m+1)==10), write("b066690.txt", n++, " ", 2*m-1); if (n==1000, return)) ) } \\ Harry J. Smith, Mar 17 2010
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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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