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 A218565 Numbers k such that k^2 + 1 is divisible by a 6th power. 2
 1068, 14557, 16693, 30182, 32318, 45807, 47943, 61432, 63568, 77057, 79193, 92682, 94818, 108307, 110443, 123932, 126068, 139557, 141693, 155182, 157318, 170807, 172943, 186432, 188568, 202057, 204193, 217682, 219818, 233307, 235443, 248932, 251068, 264557 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 1068 is in the sequence because 1068^2 + 1 = 5^6 * 73. 390112 is in the sequence because 390112^2 + 1 = 5 * 13 * 17 ^ 6 * 97. 1999509 is in the sequence because 1999509^2 + 1 = 2 * 13 ^ 6 * 29 * 14281. MATHEMATICA Select[Range[2, 27000], Max[Transpose[FactorInteger[#^2+1]][[2]]]>5&] CROSSREFS Cf. A002522, A049532, A034939, A218562, A218563, A218564. Cf. A001014 (6th powers). Sequence in context: A056102 A218564 A234880 * A145298 A145299 A328894 Adjacent sequences:  A218562 A218563 A218564 * A218566 A218567 A218568 KEYWORD nonn AUTHOR Michel Lagneau, Nov 02 2012 STATUS approved

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Last modified October 20 18:54 EDT 2020. Contains 337905 sequences. (Running on oeis4.)