This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A102867 #5 Mar 19 2017 09:56:15 %S A102867 -2,-3,-5,2,11,107,563,46279,3524441,4807526753, %T A102867 47068900554068939361891195233676009091941689423 %N A102867 Prime differences between k-th prime and k-th Fibonacci number. %C A102867 Note that for k>3, F(k) - Prime(k) cannot be prime if k is prime. %C A102867 The next term -- a(11) -- has 110 digits. - _Harvey P. Dale_, Mar 19 2017 %F A102867 Fibonacci(k) - Prime(k) iff prime. Intersection of {A000045(i) - A000040(i)} and {A000040(j)}. Prime values of A100700. %e A102867 F(2)-Prime(2) = 1 - 3 = -2. %e A102867 F(3)-Prime(3) = 2 - 5 = -3. %e A102867 F(6)-Prime(6) = 8 - 13 = -5. %e A102867 F(8)-Prime(8) = 21 - 19 = 2. %e A102867 F(9)-Prime(9) = 34 - 23 = 11. %e A102867 F(12)-Prime(12) = 144 - 37 = 107. %e A102867 F(15)-Prime(15) = 610 - 47 = 563. %e A102867 F(24)-Prime(24) = 46368 - 89 = 46279. %e A102867 F(33)-Prime(33) = 3524578 - 137 = 3524441. %t A102867 With[{nn=600},Select[#[[1]]-#[[2]]&/@Thread[{Fibonacci[Range[nn]], Prime[ Range[ nn]]}],PrimeQ]] (* _Harvey P. Dale_, Mar 19 2017 *) %Y A102867 Cf. A000040, A000045, A100700. %K A102867 easy,sign %O A102867 1,1 %A A102867 _Jonathan Vos Post_, Mar 01 2005 %E A102867 More terms from _Harvey P. Dale_, Mar 19 2017