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A108399 Least positive k such that n^2 + k is a golden semiprime (A108540). 0
5, 2, 6, 61, 52, 41, 28, 13, 106, 87, 66, 43, 18, 393, 364, 333, 300, 265, 228, 189, 148, 105, 60, 13, 226, 175, 122, 67, 10, 463, 402, 339, 274, 207, 138, 67, 814, 739, 662, 583, 502, 419, 334, 247, 158, 67, 538, 443, 346, 247, 146, 43, 4494, 4387, 4278, 4167, 4054 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Conjecture: for every n > 1 there exists a number k < n^3 such that n^2 + k is a golden semiprime.

EXAMPLE

a(4)=61 because 4^2+61 = 77 = 7*11 and 7*phi-11 = 0.326237... < 1.

CROSSREFS

Cf. A108540.

Sequence in context: A035568 A091660 A180706 * A094772 A093591 A132800

Adjacent sequences:  A108396 A108397 A108398 * A108400 A108401 A108402

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 03 2005

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.