The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A132145 Numbers that can be presented as a sum of a prime number and a Fibonacci number (0 is considered to be a Fibonacci number). 3
 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence is the union of prime numbers and sequence A132147. It is also the complement of A132144. Lee shows that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density. [Jonathan Vos Post, Nov 02 2010] LINKS T. D. Noe, Table of n, a(n) for n=1..1000 K. S. Enoch Lee, On the sum of a prime and a Fibonacci number, arXiv:1011.0173 [math.NT], 2010. EXAMPLE 11 = 3+8, the sum of a prime number (3) and a Fibonacci number (8). MAPLE N:= 1000: # for all entries <= N Primes:= select(isprime, {\$1..N}): phi:= (1+sqrt(5))/2: Fibs:= {seq(combinat:-fibonacci(i), i=0..floor(log[phi]((N+1)*sqrt(5))))}: sort(convert(select(`<=`, {seq(seq(f+p, f=Fibs), p=Primes)}, N), list)); # Robert Israel, Aug 03 2015 MATHEMATICA Take[Union[Flatten[Table[Fibonacci[n] + Prime[k], {n, 70}, {k, 70}]], Table[Prime[k], {k, 70}]], 70] CROSSREFS Cf. A132144, A132147. Sequence in context: A044922 A346447 A273883 * A272284 A322554 A330232 Adjacent sequences: A132142 A132143 A132144 * A132146 A132147 A132148 KEYWORD nonn AUTHOR Tanya Khovanova, Aug 12 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 14 21:35 EDT 2024. Contains 373401 sequences. (Running on oeis4.)