A218564 -id:A218564 - cp's OEIS frontend

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

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

Offset: 1

Michel Lagneau, Nov 02 2012

nonn

			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.

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

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

Cf. A001014 (6th powers).

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

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

Original entry on oeis.org

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

Michel Lagneau, Nov 02 2012

nonn

			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.

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

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

Cf. A001015 (7th powers).

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

cp's OEIS Frontend

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

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