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A218574 Numbers k such that k^2 + 1 is divisible by a 7th power. 1
32318, 45807, 110443, 123932, 188568, 202057, 266693, 280182, 344818, 358307, 422943, 436432, 501068, 514557, 579193, 592682, 657318, 670807, 735443, 748932, 813568, 827057, 891693, 905182, 969818, 983307 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

32318 is in the sequence because 32318^2 + 1 =  5 ^ 7 * 29 * 461.

6826318 is in the sequence because 6826318^2 + 1 = 5 ^ 3 * 13 ^ 8 * 457.

MATHEMATICA

Select[Range[2, 1500000], Max[Transpose[FactorInteger[#^2+1]][[2]]]>6&]

CROSSREFS

Cf. A002522, A049532, A034939, A218562, A218563, A218564, A218565.

Cf. A001015 (7th powers).

Sequence in context: A269930 A137837 A115501 * A145871 A137283 A251875

Adjacent sequences:  A218571 A218572 A218573 * A218575 A218576 A218577

KEYWORD

nonn

AUTHOR

Michel Lagneau, Nov 02 2012

STATUS

approved

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Last modified October 20 19:08 EDT 2020. Contains 337906 sequences. (Running on oeis4.)