A102867 - OEIS

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A102867

Prime differences between k-th prime and k-th Fibonacci number.

-2, -3, -5, 2, 11, 107, 563, 46279, 3524441 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Note that for k>3, F(k) - Prime(k) cannot be prime if k is prime.`
	FORMULA	`Fibonacci(k) - Prime(k) iff prime. Intersection of {A000045(i) - A000040(i)} and {A000040(j)}. Prime values of A100700.`
	EXAMPLE	`F(2)-Prime(2) = 1 - 3 = -2.` `F(3)-Prime(3) = 2 - 5 = -3.` `F(6)-Prime(6) = 8 - 13 = -5.` `F(8)-Prime(8) = 21 - 19 = 2.` `F(9)-Prime(9) = 34 - 23 = 11.` `F(12)-Prime(12) = 144 - 37 = 107.` `F(15)-Prime(15) = 610 - 47 = 563.` `F(24)-Prime(24) = 46368 - 89 = 46279.` `F(33)-Prime(33) = 3524578 - 137 = 3524441.`
	CROSSREFS	`Cf. A000040, A000045, A100700.` `Sequence in context: A124055 A137458 A079369 * A139044 A060383 A060442` `Adjacent sequences: A102864 A102865 A102866 * A102868 A102869 A102870`
	KEYWORD	`easy,sign`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 01 2005`

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.