login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

This is to Lucas numbers as A130150 is to Fibonacci numbers.

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.

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 (jvospost3(AT)gmail.com), Aug 04 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 15 15:17 EST 2012. Contains 205823 sequences.