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A186205 The first n-digit prime in the decimal expansion of the golden ratio. 1
3, 61, 887, 9887, 39887, 339887, 1618033, 65638117, 398874989, 1772030917, 38622235369, 803398874989, 1618033988749, 61803398874989, 586834365638117, 8343656381177203, 69317931800607667, 484754088075386891 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The Golden ratio is (1+sqrt(5))/2 = 1.618033988749894848204586834....

LINKS

Table of n, a(n) for n=1..18.

MAPLE

Digits := 10000: p0 := evalf((1+sqrt(5))/2):for d from 1 to 20 do: id:=0:for

  i from 0 to 50000 while(id=0) do :q0:=trunc(p0*10^(i+d-1)): x:= irem(q0, 10^d):

  if type(x, prime)=true and length(x)=d then printf(`%d, `, x):id:=1: else fi:od:od:

CROSSREFS

Cf. A001622.

Sequence in context: A185831 A102720 A120308 * A224451 A239792 A009476

Adjacent sequences:  A186202 A186203 A186204 * A186206 A186207 A186208

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Feb 15 2011

STATUS

approved

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Last modified November 20 17:56 EST 2014. Contains 249753 sequences.