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 A110364 Beginning with 2, prime numbers such that the successive differences are distinct Fibonacci numbers. 1
 2, 3, 5, 13, 47, 191, 46559, 8944394323838023, 8945942332593943, 407305795913026496164667897, 407305795913026497299571067, 407305795913026497299571677 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Comment from David Wasserman, Dec 01 2008: There is no room for the next term, which is 18828075583602596462866526311206253798143927071100760220356261227542635072700383. LINKS Table of n, a(n) for n=1..12. MAPLE with(combinat): F:={seq(fibonacci(k), k=1..500)}: a[1]:=2: for m from 2 to 7 do p:=proc(n) if member(ithprime(n)-a[m-1], F)=true then ithprime(n) else fi end: a[m]:=[seq(p(n), n=1..5000)][1]: F:=F minus {a[m]-a[m-1]}: od: seq(a[m], m=1..7); # Emeric Deutsch, Jul 28 2005 MATHEMATICA s = 2; l = {2}; Print[s]; Do[m = 1; While[MemberQ[l, m] || !PrimeQ[s + Fibonacci[m]], m++ ]; AppendTo[l, m]; s += Fibonacci[m]; Print[s], {n, 100}] (* Ryan Propper, Jul 21 2006 *) CROSSREFS Cf. A110363. Sequence in context: A048634 A012899 A215102 * A111288 A064526 A261192 Adjacent sequences: A110361 A110362 A110363 * A110365 A110366 A110367 KEYWORD easy,nonn AUTHOR Amarnath Murthy, Jul 23 2005 EXTENSIONS 2 more terms from Emeric Deutsch, Jul 28 2005 More terms from Ryan Propper, Jul 21 2006 STATUS approved

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Last modified May 21 00:01 EDT 2024. Contains 372720 sequences. (Running on oeis4.)