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A218564 Numbers n such that n^2 + 1 is divisible by a 5th power. 2
1068, 2057, 4193, 5182, 7318, 8307, 10443, 11432, 13568, 14557, 16693, 17682, 19818, 20807, 22943, 23932, 26068, 27057, 29193, 30182, 32318, 33307, 35443, 36432, 38568, 39557, 41693, 42682, 44818, 45807, 47943, 48932, 51068, 52057, 54193, 55182, 57318, 58307 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

1068 is in the sequence because 1068^2+1 = 1140625 = 5^6*73;

143044 is in the sequence because 143044^2+1 = 20461585937 = 13^5*55109;

390112 is in the sequence because 390112^2+1 = 152187372545 = 5*13*17^6*97.

MATHEMATICA

Select[Range[2, 20000], Max[Transpose[FactorInteger[#^2+1]][[2]]]>4&]

CROSSREFS

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

Sequence in context: A123211 A023078 A056102 * A234880 A218565 A145298

Adjacent sequences:  A218561 A218562 A218563 * A218565 A218566 A218567

KEYWORD

nonn

AUTHOR

Michel Lagneau, Nov 02 2012

STATUS

approved

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Last modified August 20 06:32 EDT 2017. Contains 290824 sequences.