A394315 - OEIS

%I #17 Mar 19 2026 18:03:26

%S 1,6092,65187,143253,176751,18785650,25548350,72396625,507733590,

%T 686593375,1138786375,1325580025,2083558890,2335420375,2727499625

%N Numbers k such that sigma(k) = psi(k) + pi(k) + Omega(k)^6.

%e 6092 is a term since sigma(6092) = 10668 = 9144 + 795 + 3^6 = psi(6092) + pi(6092) + Omega(6092)^6.

%o (PARI) dedpsi(f) = prod(k = 1, #f~, (f[k, 1]+1) * f[k, 1]^(f[k, 2]-1));

%o list(lim) = {my(q = 2, m = 0, f); print1(1, ", "); forprime(p = 3, lim, m++; for(k = q, p-1, f = factor(k); if(sigma(f) == dedpsi(f) + m + bigomega(f)^6, print1(k, ", "))); q = p); } \\ _Amiram Eldar_, Mar 15 2026

%Y Cf. A000203, A000720, A001615, A001222, A393162, A393163, A393123, A394260, A394312.

%K nonn,hard,more

%O 1,2

%A _S. I. Dimitrov_, Mar 15 2026

%E a(11)-a(15) from _Amiram Eldar_, Mar 15 2026