|
| |
|
|
A139101
|
|
Numbers that show the distribution of prime numbers up to the n-th prime minus 1, using "0" for primes and "1" for nonprime numbers.
|
|
10
|
|
|
|
1, 10, 1001, 100101, 1001010111, 100101011101, 1001010111010111, 100101011101011101, 1001010111010111010111, 1001010111010111010111011111, 100101011101011101011101111101, 100101011101011101011101111101011111, 1001010111010111010111011111010111110111
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
a(n) has A000040(n)-1 digits, n-1 digits "0" and A000040(n)-n digits "1".
|
|
|
LINKS
|
Table of n, a(n) for n=1..13.
Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.
|
|
|
MATHEMATICA
|
Table[ sum = 0; For[i = 1, i <= Prime[n] - 1 , i++, sum = sum*2;
If[! PrimeQ[i], sum++]]; IntegerString[sum, 2], {n, 1, 13}] (* Robert Price, Apr 03 2019 *)
|
|
|
PROG
|
(PARI) a(n) = fromdigits(vector(prime(n)-1, k, !isprime(k)), 10); \\ Michel Marcus, Apr 04 2019
|
|
|
CROSSREFS
|
Binary representation of A139102.
Subset of A118256.
Cf. A000040, A018252, A139103, A139104, A139119, A139120, A139122.
Sequence in context: A110147 A215023 A071925 * A015482 A288582 A104486
Adjacent sequences: A139098 A139099 A139100 * A139102 A139103 A139104
|
|
|
KEYWORD
|
nonn,base
|
|
|
AUTHOR
|
Omar E. Pol, Apr 08 2008
|
|
|
STATUS
|
approved
|
| |
|
|
