Table 9
Values of m for which tau(m) is negative
prime factors of m+1
m chi(m) tau(m) 2 3 5 7 11 13 17 19 23 29 31
239 5 -21 4 1 1
1439 8 -178 5 2 1
2159 8 -165 4 3 1
4319 11 -159 5 3 1
9239 8 -465 3 1 1 1 1
9359 8 -973 4 2 1 0 0 1
15119 12 -2759 4 3 1 1
17639 10 -3005 3 2 1 2
22679 10 -531 3 4 1 1
23759 10 -3521 4 3 1 0 1
30239 12 -7697 5 3 1 1
48959 12 -5224 6 2 1 0 0 0 1
61199 9 -5931 4 2 2 0 0 0 1
71639 8 -2942 3 2 5 (199)
76319 9 -4117 2 0 1 0 1 (347)
105839 12 -2856 4 3 1 2
113399 15 -21833 3 4 2 1
115919 12 -331 4 2 1 1 0 0 0 0 1
117359 11 -4957 4 2 1 (163)
171359 11 -7596 5 2 1 1 0 0 1
205919 18 -38122 5 2 1 0 1 1
252719 13 -652 4 5 1 0 0 1
268199 7 -12565 3 2 2 (149)
277199 23 -42199 4 2 2 1 1
309959 11 -26560 3 3 1 1 (41)
321551 10 -4050 4 2 0 1 1 0 0 0 0 1
327599 16 -69039 4 2 2 1 0 1
418319 9 -1720 4 2 1 1 (83)
431999 14 -77267 7 3 3
444599 9 -54113 3 2 2 0 0 1 0 1
477359 14 -8280 4 3 1 0 0 1 1
485519 11 -6262 4 1 1 1 0 0 2
533519 14 -36688 4 3 1 0 0 1 0 1
539999 13 -1558 5 3 4
546839 12 -37036 3 2 1 2 0 0 0 0 0 0 1
581399 13 -14029 3 2 2 0 0 0 1 1
619919 17 -90643 4 3 1 1 (41)
628559 9 -14297 4 4 1 (97)
692999 16 -126957 3 2 3 1 1
694799 10 -17645 4 2 2 (193)
699839 12 -28275 6 7 1
727559 9 -7640 3 2 1 (43)(47)
745919 12 -51271 6 2 1 1 (37)
762839 8 -20645 3 2 1 0 0 1 (163)
810719 9 -65899 5 2 1 (563)
951839 12 -77022 5 2 1 (661)
966239 12 -175475 5 2 1 0 1 (61)
979439 10 -3885 4 1 1 1 1 (53)
1000439 12 -150121 3 2 1 1 (397)
1002959 9 -121593 4 2 1 1 (199)
1013759 12 -40421 11 2 1 0 1
1067039 18 -281069 5 3 1 0 0 1 0 1
1098719 10 -25496 5 2 1 1 (109)
1107359 8 -36082 5 2 1 (769)
1261799 6 -10289 3 2 2 (701)
1369871 9 -88040 4 4 0 1 (151)
1375199 8 -99643 5 2 2 (191)
1391039 21 -184435 6 3 1 1 0 0 0 0 1
1417919 10 -3638 6 1 1 1 (211)
1525679 11 -43290 4 2 1 0 0 1 (163)
1625399 16 -266125 3 3 2 1 (43)
1659839 12 -104715 6 1 5 1 0 1 0 1
1700159 17 -123626 6 1 1 1 1 0 0 0 1
1721159 6 -43985 3 2 1 1 (683)
1733759 15 -114004 7 2 1 1 (43)
1760039 8 -177906 3 2 1 (4889)
1857239 15 -265617 3 2 1 1 1 (67)