|
| |
|
|
A086884
|
|
Smallest string of 1's and 0's which is prime in every base from 2 to n.
|
|
1
|
|
|
|
10, 10, 101111, 10010111, 111110100001, 111110100001, 11000011101101111, 10011110011011110110110011, 110100000010101111110001010011001110001, 1000000010000011110100010001000101001010110111001
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
2,1
|
|
|
LINKS
|
Table of n, a(n) for n=2..11.
Phil Carmody, Bitstrings representing primes in many bases.
|
|
|
EXAMPLE
|
a(5) = 10010111 because 10010111 (base 2) = 151, 10010111 (base 3) = 2281, 10010111 (base 4) = 16661 and 10010111 (base 5) = 78781 are all prime and 10010111 is smallest such string.
|
|
|
MATHEMATICA
|
a[n_] := (While[b = FromDigits[ IntegerDigits[k, 2]]; Union[ PrimeQ[ Table[ FromDigits[ IntegerDigits[b], i], {i, 2, n}]]] != {True}, k++ ]; b); k = 1; Do[ Print[ a[n]], {n, 2, 10}]
|
|
|
CROSSREFS
|
See A086204 for decimal equivalents.
Sequence in context: A052983 A072804 A079793 * A284201 A324660 A336035
Adjacent sequences: A086881 A086882 A086883 * A086885 A086886 A086887
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Richard FitzHugh (fitzhughrichard(AT)hotmail.com), Aug 22 2003
|
|
|
EXTENSIONS
|
Edited by Robert G. Wilson v, Aug 24 2003
a(10) from Phil Carmody's Web site added by Dario Alpern, May 14 2006
Cross-reference changed from A096204 to A086204 James G. Merickel, Nov 18 2009
a(11) from Phil Carmody's website added by James G. Merickel, Feb 15 2010
|
|
|
STATUS
|
approved
|
| |
|
|
