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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

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Last modified April 18 07:54 EDT 2021. Contains 343084 sequences. (Running on oeis4.)