

A128050


Position of start of first occurrence of prime(n) after the decimal point in expansion of golden ratio phi.


1



19, 5, 22, 10, 34, 55, 35, 188, 131, 174, 137, 98, 90, 27, 102, 111, 166, 1, 150, 217, 479, 44, 25, 13, 81, 458, 1242, 744, 563, 96, 1602, 186, 97, 995, 259, 939, 1999, 1204, 641, 1191, 43, 833, 1682, 2833, 2708, 188, 647, 130, 62, 734, 2337, 1106, 307, 1156, 2532
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..55.


EXAMPLE

Golden ratio phi = 1.6180339887498948482045868343656381177... (see A001622).
First occurrence of prime(1) = 2 is at the 19th digit after the decimal point, hence a(1) = 19.
First occurrence of prime(5) = 11 starts at the 34th digit after the decimal point, hence a(5) = 34.


PROG

(MAGMA) k:=3000; R := RealField(k); [ Position(IntegerToString(Round(10^k*(1 + (Sqrt(elt<R  5, 0>)+1) / elt<R  2, 0>))), IntegerToString(NthPrime(n))) : n in [1..55] ]; /* Klaus Brockhaus, Feb 15 2007 */


CROSSREFS

Cf. A001622, A037024, A014777.
Sequence in context: A040350 A089572 A040348 * A185424 A040347 A040346
Adjacent sequences: A128047 A128048 A128049 * A128051 A128052 A128053


KEYWORD

base,nonn


AUTHOR

Gregory Allen, Feb 13 2007


EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, Feb 15 2007


STATUS

approved



