A351095 Semiprimes that are not the arithmetic derivative (A003415) of any integer.

35, 57, 65, 93, 145, 177, 205, 209, 217, 219, 237, 289, 303, 305, 323, 377, 393, 413, 415, 427, 453, 473, 485, 497, 515, 517, 529, 533, 537, 553, 597, 629, 681, 697, 699, 713, 749, 781, 785, 793, 817, 835, 849, 869, 895, 917, 933, 965, 989, 1037, 1057, 1059, 1077, 1081, 1133, 1137, 1145, 1149, 1159, 1169, 1227, 1243

Offset: 1

Author

Antti Karttunen, Feb 03 2022

Keywords

• nonn

Comments

17^2 = 289 and 23^2 = 529 are the first squares present.

Crossrefs

Complement of A351096 in A001358. Subsequence of A098700 and of A189554.

Cf. A003415, A189483.

Programs

PARI

A002620(n) = ((n^2)>>2);
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
isA351095(n) = if(2!=bigomega(n), 0, for(k=1,A002620(n),if(A003415(k)==n,return(0))); (1));