A218574 Numbers k such that k^2 + 1 is divisible by a 7th power.

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

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 A373529 A137283

Adjacent sequences: A218571 A218572 A218573 * A218575 A218576 A218577

Keyword

nonn

Author

Michel Lagneau, Nov 02 2012

Status

approved