A277851 Numbers not occurring in A075771 (= q(n) + r(n), with n^2 = prime(n)*q(n) + r(n), 0 <= r(n) < prime(n)).

3, 6, 7, 8, 11, 13, 14, 18, 19, 20, 21, 22, 23, 25, 26, 29, 30, 32, 34, 35, 38, 39, 40, 43, 44, 45, 47, 51, 53, 54, 56, 58, 62, 67, 68, 69, 70, 71, 72, 74, 75, 77, 78, 80, 82, 83, 87, 89, 90, 91, 92, 94, 97, 98, 99, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 115, 117, 118, 119, 120, 122, 123, 125, 126

Offset: 1

Author

M. F. Hasler, Nov 25 2016

Keywords

• nonn

Comments

The lower bound A075771(n) >= n^2/prime(n) ensures that a given number can't occur beyond a certain index in that sequence.

Crossrefs

Cf. A075771, A277852, A277853, A277854.

Programs

Mathematica

mx = 6300; Take[ Complement[ Range@ mx, Array[Plus @@ IntegerDigits[#^2, Prime[#]] &, mx]], mx/90] (* Robert G. Wilson v, Nov 25 2016 *)

PARI

A277851_vec(N,L=N^2\prime(N),A=A075771)=setminus([1..L],Set(vector(N,n,A(n))))