A051831 - OEIS

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A051831

Fibonacci(Pn) mod Pn, where Pn is the n-th prime.

1, 2, 0, 6, 1, 12, 16, 1, 22, 1, 1, 36, 1, 42, 46, 52, 1, 1, 66, 1, 72, 1, 82, 1, 96, 1, 102, 106, 1, 112, 126, 1, 136, 1, 1, 1, 156, 162, 166, 172, 1, 1, 1, 192, 196, 1, 1, 222, 226, 1, 232, 1, 1, 1, 256, 262, 1, 1, 276, 1, 282, 292, 306, 1, 312, 316, 1, 336, 346, 1, 352, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Terms are 1 when Pn == 1 or 4 mod 5, terms are Pn-1 when Pn == 2 or 3 mod 5.`
	LINKS	`R. Peele and P. Stanica, Matrix powers of column-justified Pascal triangles and Fibonacci sequences`
	EXAMPLE	`P3=5, fibonacci(5)=5 == 0 mod 5.`
	MATHEMATICA	`Mod[Fibonacci[Prime[#]], Prime[#]]&/@Range[75] [From Harvey P. Dale, Jan. 14, 2011]`
	CROSSREFS	`Cf. A000045, A003631, A045468, A051834, A051830.` `Sequence in context: A180397 A021489 A092158 * A119883 A020853 A095832` `Adjacent sequences: A051828 A051829 A051830 * A051832 A051833 A051834`
	KEYWORD	`nonn`
	AUTHOR	`Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Dec 11 1999`

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.