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 A172335 Numbers n such that n and n+17 have same sum of divisors. 2
 142, 238, 418, 429, 598, 622, 2985, 3502, 16269, 22678, 23188, 27778, 38494, 46761, 48489, 62235, 74188, 98745, 110170, 120345, 129448, 151677, 187822, 190888, 194818, 205185, 223685, 235438, 246934, 249166 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840. J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 62, p. 22, Ellipses, Paris 2008. W. SierpiĆski, A Selection of Problems in the Theory of Numbers. Macmillan, NY, 1964, p. 110. LINKS Amiram Eldar, Table of n, a(n) for n = 1..500 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. MAPLE with(numtheory):for n from 1 to 250000 do; if sigma(n) = sigma(n+17) then print(n); else fi ; od; MATHEMATICA Select[Range[10^5], DivisorSigma[1, #] == DivisorSigma[1, # + 17] &] (* Amiram Eldar, Aug 11 2019 *) PROG (MAGMA) [m:m in [1..250000]| SumOfDivisors(m) eq SumOfDivisors(m+17)]; // Marius A. Burtea, Aug 11 2019 CROSSREFS Cf. A000203. Sequence in context: A025379 A202279 A035702 * A217531 A158135 A092230 Adjacent sequences:  A172332 A172333 A172334 * A172336 A172337 A172338 KEYWORD nonn AUTHOR Michel Lagneau, Feb 01 2010 STATUS approved

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Last modified April 19 05:00 EDT 2021. Contains 343105 sequences. (Running on oeis4.)