A393203 a(n) = (1/2)*(prime(n + 2)^2 - prime(n + 1)*prime(n)).

17, 43, 46, 73, 70, 103, 202, 147, 235, 267, 166, 223, 394, 495, 297, 445, 477, 286, 529, 561, 682, 1011, 784, 406, 523, 430, 553, 1906, 1405, 1066, 687, 1579, 1045, 1075, 1431, 1149, 1354, 1575, 897, 2041, 1339, 973, 790, 2659, 3870, 2238, 910, 1153, 1882

Offset

2,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 2..10000

Formula

a(n) = (A001248(n+2) - A006094(n))/2. - Michel Marcus, Feb 06 2026

Mathematica

p[n_] := Prime[n];
Table[(p[n + 2]^2 - p[n]*p[n + 1])/2, {n, 2, 200}]

Prog

(Magma) [(NthPrime(n+2)^2 - NthPrime(n)*NthPrime(n+1)) div 2 : n in [2..50]]; // Vincenzo Librandi, Feb 11 2026

Crossrefs

Cf. A000040, A046868, A056221, A393202.

Cf. A001248, A006094.

Sequence in context: A024188 A196209 A196476 * A086006 A195685 A118587

Adjacent sequences: A393200 A393201 A393202 * A393204 A393205 A393206

Keyword

nonn

Author

Clark Kimberling, Feb 05 2026

Status

approved