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 A130217 Smallest prime with number of digits equal to n-th Lucas number A000032(n). 0
 11, 2, 101, 1009, 1000003, 10000000019, 100000000000000003, 10000000000000000000000000331, 10000000000000000000000000000000000000000000121, 1000000000000000000000000000000000000000000000000000000000000000000000000129 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is to Lucas numbers as A130150 is to Fibonacci numbers. LINKS FORMULA a(n) = A003617(A000032(n)) = (MIN{p(i) such that p(i) is prime and number of digits of decimal expansion of p(i) = L(n) for Lucas number L(n)} = MIN{A000040(i) such that A055642(A000040(i)) = A000032(n)}. EXAMPLE a(0) = 11 because L(0) = A000032(0) = 2 and 11 is the smallest 2 digit prime. a(1) = 2 because L(1) = A000032(1) = 1 and 2 is the smallest 1 digit prime. a(2) = 101 because L(2) = A000032(2) = 3 and 101 is the smallest 3 digit prime. MATHEMATICA NextPrime/@(10^(LucasL[Range[0, 10]]-1)) (* Harvey P. Dale, Aug 28 2013 *) CROSSREFS Cf. A000032, A000040, A003617, A130150. Sequence in context: A095157 A110767 A089365 * A096044 A160464 A038316 Adjacent sequences:  A130214 A130215 A130216 * A130218 A130219 A130220 KEYWORD easy,nonn,base,less AUTHOR Jonathan Vos Post, Aug 04 2007 EXTENSIONS One more term (a(9)) from Harvey P. Dale, Aug 28 2013 STATUS approved

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Last modified June 18 16:47 EDT 2021. Contains 345120 sequences. (Running on oeis4.)