|
Search: id:A104842
|
|
|
| A104842 |
|
Position of first n-digit prime in decimal expansion of Pi. |
|
+0
2
|
|
| 1, 1, 8, 3, 2, 1, 4, 34, 30, 5, 15, 2, 6, 17, 36, 82, 12, 87, 26, 12, 25, 133, 35, 18, 17, 3, 41, 17, 234, 17, 167, 92, 251, 15, 9, 12, 31, 1, 57, 290, 4, 99, 98, 502, 48, 164, 198, 201, 128, 7, 363, 143, 11, 138, 196, 32, 230, 82, 292, 515, 334, 186, 176, 223, 57, 135, 35
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Corresponding n-digit primes A104841.
|
|
EXAMPLE
|
a(1)=1 since the first single digit prime found, 3, is at first place, hence a(1)=1,
a(2)=1 since the first two digit prime found, 31, is at first place, hence a(2)=1,
a(3)=8 since the first three digit prime found, 653, is at 8th place, hence a(3)=8,...
|
|
MATHEMATICA
|
pi = RealDigits[Pi, 10, 100][[1]]; f[n_] := Block[{k = 1}, While[ !PrimeQ[ FromDigits[ Take[pi, {k, k + n - 1}]]], k++ ]; k]; Table[ f[n], {n, 67}] (from Robert G. Wilson v Mar 29 2005)
|
|
CROSSREFS
|
Cf. A104819 - A104841.
Adjacent sequences: A104839 A104840 A104841 this_sequence A104843 A104844 A104845
Sequence in context: A088453 A019782 A056030 this_sequence A119277 A063568 A100668
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Mar 27 2005
|
|
EXTENSIONS
|
More terms from a(33) onward from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 29 2005
|
|
|
Search completed in 0.002 seconds
|
