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A218565 Numbers n such that n^2 + 1 is divisible by a 6th power. 1
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

Table of n, a(n) for n=1..34.

EXAMPLE

1068 is in the sequence because 1068^2+1 = 5^6*73

1999509 is in the sequence because 1999509^2+1=2 * 13 ^ 6 * 29 * 14281;

390112 is in the sequence because 390112^2+1=5 * 13 * 17 ^ 6 * 97.

MATHEMATICA

Select[Range[2, 27000], Max[Transpose[FactorInteger[#^2+1]][[2]]]>5&]

CROSSREFS

Cf. A002522, A049532, A034939, A218562, A218563, A218564.

Sequence in context: A056102 A218564 A234880 * A145298 A145299 A095673

Adjacent sequences:  A218562 A218563 A218564 * A218566 A218567 A218568

KEYWORD

nonn

AUTHOR

Michel Lagneau, Nov 02 2012

STATUS

approved

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Last modified June 25 00:41 EDT 2017. Contains 288708 sequences.