A227435 Difference between 10^n and the first prime of gap 6 > 10^n.

13, 31, 13, 61, 43, 187, 223, 217, 87, 97, 57, 163, 267, 133, 273, 2473, 13, 3, 91, 757, 367, 421, 531, 177, 343, 673, 1753, 721, 847, 6331, 1081, 1141, 6583, 2191, 957, 1563, 423, 3951, 81, 8497, 1477, 7723, 11311, 12691, 5817, 8751, 2251, 4761, 12627, 1521, 1281, 11283, 11577, 3201, 3991, 3

Offset

1,1

Comments

As N increases, the ratio sum(a(n)/n^2)/N for n = 1 to N tends to 2.

Links

Pierre CAMI, Table of n, a(n) for n = 1..272

Example

10^1+13 = 23, 23 and 29 primes of gap 6 so a(1)=13.

Crossrefs

Cf. A124001, A227432.

Sequence in context: A296124 A299130 A156532 * A046414 A023694 A038465

Adjacent sequences: A227432 A227433 A227434 * A227436 A227437 A227438

Keyword

nonn

Author

Pierre CAMI, Jul 11 2013

Status

approved