A175038 In the sequence of positive integers A000027, number of digits between successive primes.

0, 1, 1, 4, 2, 6, 2, 6, 10, 2, 10, 6, 2, 6, 10, 10, 2, 10, 6, 2, 10, 6, 10, 14, 7, 3, 9, 3, 9, 39, 9, 15, 3, 27, 3, 15, 15, 9, 15, 15, 3, 27, 3, 9, 3, 33, 33, 9, 3, 9, 15, 3, 27, 15, 15, 15, 3, 15, 9, 3, 27, 39, 9, 3, 9, 39, 15, 27, 3, 9, 15, 21, 15, 15, 9, 15, 21, 9, 21, 27, 3, 27, 3, 15, 9, 15

Offset

1,4

Comments

From Jamie Morken, Feb 01 2019: (Start)

For A006880(m) < n < A006880(m+1), a(n) = A046933(n)*(m + 1).

For example m=1, n=24 then a(n)=7*2=14.

For example m=2, n=26 then a(n)=1*3=3.

For n = A006880(m+1), a(n) = A046933(n)*(m+1) + A033873(m + 1).

For example m=1, n=25 then a(n)=3*2+1=7.

(End)

Links

Muniru A Asiru, Table of n, a(n) for n = 1..10000

Example

a(4) = 4 as prime(4) = 7 and prime(4+1) = 11 so the number of digits between these two primes is the number of digits of 8, 9 and 10. These numbers have 4 digits combined. Therefore a(4) = 4. - David A. Corneth, Jan 30 2019

Mathematica

Table[Length[Flatten[IntegerDigits/@Range[Prime[n]+1, Prime[n+1]-1]]], {n, 200}]

Prog

(PARI) a(n) = sum(k=prime(n)+1, prime(n+1)-1, #Str(k)); \\ Michel Marcus, Jan 30 2019

Crossrefs

Cf. A000027, A113610, A046933, A006880, A033873.

Sequence in context: A340177 A236213 A016694 * A035505 A244997 A274516

Adjacent sequences: A175035 A175036 A175037 * A175039 A175040 A175041

Keyword

base,nonn

Author

Zak Seidov, Nov 13 2009

Status

approved