{{begin-eqn}} {{eqn | n = n = 0       | l = \map \sigma {945} - 945       | r = 1920 - 945       | c = {{SigmaLink|945}} }} {{eqn | r = 975       | c =  }} {{eqn | n = n = 1       | l = \map \sigma {1575} - 1575       | r = 3224 - 1575       | c = {{SigmaLink|1575}} }} {{eqn | r = 1649       | c =  }} {{eqn | n = n = 2       | l = \map \sigma {2205} - 2205       | r = 4446 - 2205       | c = {{SigmaLink|2205}} }} {{eqn | r = 2241       | c =  }} {{eqn | n = n = 3       | l = \map \sigma {2835} - 2835       | r = 5808 - 2835       | c = {{SigmaLink|2835}} }} {{eqn | r = 2973       | c =  }} {{eqn | n = n = 4       | l = \map \sigma {3465} - 3465       | r = 7488 - 3465       | c = {{SigmaLink|3465}} }} {{eqn | r = 4023       | c =  }} {{eqn | n = n = 5       | l = \map \sigma {4095} - 4095       | r = 8736 - 4095       | c = {{SigmaLink|4095}} }} {{eqn | r = 4641       | c =  }} {{eqn | n = n = 6       | l = \map \sigma {4725} - 4725       | r = 9920 - 4725       | c = {{SigmaLink|4725}} }} {{eqn | r = 5195       | c =  }} {{eqn | n = n = 7       | l = \map \sigma {5355} - 5355       | r = 11 \, 232 - 5355       | c = {{SigmaLink|5355}} }} {{eqn | r = 5877       | c =  }} {{eqn | n = n = 8       | l = \map \sigma {5985} - 5985       | r = 12 \, 480 - 5985       | c = {{SigmaLink|5985}} }} {{eqn | r = 6495       | c =  }} {{eqn | n = n = 9       | l = \map \sigma {6615} - 6615       | r = 13 \, 680 - 6615       | c = {{SigmaLink|6615}} }} {{eqn | r = 7065       | c =  }} {{eqn | n = n = 10       | l = \map \sigma {7245} - 7245       | r = 14 \, 976 - 7245       | c = {{SigmaLink|7245}} }} {{eqn | r = 7731       | c =  }} {{eqn | n = n = 11       | l = \map \sigma {7875} - 7875       | r = 16 \, 224 - 7875       | c = {{SigmaLink|7875}} }} {{eqn | r = 8349       | c =  }} {{eqn | n = n = 12       | l = \map \sigma {8505} - 8505       | r = 17 \, 472 - 8505       | c = {{SigmaLink|8505}} }} {{eqn | r = 8967       | c =  }} {{eqn | n = n = 13       | l = \map \sigma {9135} - 9135       | r = 18 \, 720 - 9135       | c = {{SigmaLink|9135}} }} {{eqn | r = 9585       | c =  }} {{eqn | n = n = 14       | l = \map \sigma {9765} - 9765       | r = 19 \, 968 - 9765       | c = {{SigmaLink|9765}} }} {{eqn | r = 10 \, 203       | c =  }} {{eqn | n = n = 15       | l = \map \sigma {10 \, 395} - 10 \, 395       | r = 23 \, 040 - 10 \, 395       | c = {{SigmaLink|10,395|10 \, 395}} }} {{eqn | r = 12 \, 645       | c =  }} {{eqn | n = n = 16       | l = \map \sigma {11 \, 025} - 11\,025       | r = 22 \, 971 - 11\,025       | c = {{SigmaLink|11,025|11\,025}} }} {{eqn | r = 11\,946       | c =  }} {{eqn | n = n = 17       | l = \map \sigma {11\,655}  - 11\,655       | r = 23 \, 712 - 11\,655       | c = {{SigmaLink|11,655|11\,655}} }} {{eqn | r = 12 \, 057       | c =  }} {{eqn | n = n = 18       | l = \map \sigma {12\,285} - 12\,285       | r = 26\,880 - 12\,285       | c = {{SigmaLink|12,285|12\,285}} }} {{eqn | r = 14\,595       | c =  }} {{eqn | n = n = 19       | l = \map \sigma {12\,915} - 12\,915       | r = 26 \, 208 - 12\,915       | c = {{SigmaLink|12,915|12\,915}} }} {{eqn | r = 13 \, 293       | c =  }} {{eqn | n = n = 20       | l = \map \sigma {13\,545} - 13\,545       | r = 27 \, 456 - 13\,545       | c = {{SigmaLink|13,545|13\,545}} }} {{eqn | r = 13 \, 911       | c =  }} {{eqn | n = n = 21       | l = \map \sigma {14\,175} - 14\,175       | r = 30 \, 008 - 14\,175       | c = {{SigmaLink|14,175|14\,175}} }} {{eqn | r = 15 \, 833       | c =  }} {{eqn | n = n = 22       | l = \map \sigma {14\,805} - 14\,805       | r = 29 \, 952 - 14\,805       | c = {{SigmaLink|14,805|14\,805}} }} {{eqn | r = 15 \, 147       | c =  }} {{eqn | n = n = 23       | l = \map \sigma {15\,435} - 15\,435       | r = 31 \, 200 - 15\,435       | c = {{SigmaLink|15,435|15\,435}} }} {{eqn | r = 15 \, 765       | c =  }} {{eqn | n = n = 24       | l = \map \sigma {16\,065} - 16\,065       | r = 34 \, 560 - 16\,065       | c = {{SigmaLink|16,065|16\,065}} }} {{eqn | r = 18 \, 495       | c =  }} {{eqn | n = n = 25       | l = \map \sigma {16\,695} - 16\,695       | r = 33 \, 696 - 16\,695       | c = {{SigmaLink|16,695|16\,695}} }} {{eqn | r = 17 \, 001       | c =  }} {{eqn | n = n = 26       | l = \map \sigma {17\,325} - 17\,325       | r = 38 \, 688 - 17\,325       | c = {{SigmaLink|17,325|17\,325}} }} {{eqn | r = 21 \, 363       | c =  }} {{eqn | n = n = 27       | l = \map \sigma {17\,955} - 17\,955       | r = 38 \, 400 - 17\,955       | c = {{SigmaLink|17,955|17\,955}} }} {{eqn | r = 20 \, 445       | c =  }} {{eqn | n = n = 28       | l = \map \sigma {18\,585} - 18\,585       | r = 37 \, 440 - 18\,585       | c = {{SigmaLink|18,585|18\,585}} }} {{eqn | r = 18 \, 855       | c =  }} {{eqn | n = n = 29       | l = \map \sigma {19\,215} - 19\,215       | r = 38 \, 688 - 19\,215       | c = {{SigmaLink|19,215|19\,215}} }} {{eqn | r = 19 \, 473       | c =  }} {{eqn | n = n = 30       | l = \map \sigma {19\,845} - 19\,845       | r = 41 \, 382 - 19\,845       | c = {{SigmaLink|19,845|19\,845}} }} {{eqn | r = 21 \, 537       | c =  }} {{eqn | n = n = 31       | l = \map \sigma {20\,475} - 20\,475       | r = 45 \, 136 - 20\,475       | c = {{SigmaLink|20,475|20\,475}} }} {{eqn | r = 24 \, 661       | c =  }} {{eqn | n = n = 32       | l = \map \sigma {21\,105} - 21\,105       | r = 42 \, 432 - 21\,105       | c = {{SigmaLink|21,105|21\,105}} }} {{eqn | r = 21 \, 327       | c =  }} {{eqn | n = n = 33       | l = \map \sigma {21\,735} - 21\,735       | r = 46 \, 080 - 21\,735       | c = {{SigmaLink|21,735|21\,735}} }} {{eqn | r = 24 \, 705       | c =  }} {{eqn | n = n = 34       | l = \map \sigma {22\,365} - 22\,365       | r = 44 \, 928 - 22\,365       | c = {{SigmaLink|22,365|22\,365}} }} {{eqn | r = 22 \, 563       | c =  }} {{eqn | n = n = 35       | l = \map \sigma {22\,995} - 22\,995       | r = 46 \, 176 - 22\,995       | c = {{SigmaLink|22,995|22\,995}} }} {{eqn | r = 23 \, 181       | c =  }} {{eqn | n = n = 36       | l = \map \sigma {23\,625} - 23\,625       | r = 49 \, 920 - 23\,625       | c = {{SigmaLink|23,625|23\,625}} }} {{eqn | r = 26 \, 295       | c =  }} {{eqn | n = n = 37       | l = \map \sigma {24\,255} - 24\,255       | r = 53 \, 352 - 24\,255       | c = {{SigmaLink|24,255|24\,255}} }} {{eqn | r = 29 \, 097       | c =  }} {{eqn | n = n = 38       | l = \map \sigma {24\,885} - 24\,885       | r = 49 \, 920 - 24\,885       | c = {{SigmaLink|24,885|24\,885}} }} {{eqn | r = 25 \, 035       | c =  }} {{eqn | n = n = 39       | l = \map \sigma {25\,515} - 25\,515       | r = 52 \, 464 - 25\,515       | c = {{SigmaLink|25,515|25\,515}} }} {{eqn | r = 26 \, 949       | c =  }} {{eqn | n = n = 40       | l = \map \sigma {26\,145} - 26\,145       | r = 52 \, 416 - 26\,145       | c = {{SigmaLink|26,145|26\,145}} }} {{eqn | r = 26 \, 271       | c =  }} {{eqn | n = n = 41       | l = \map \sigma {26\,775} - 26\,775       | r = 58 \, 032 - 26\,775       | c = {{SigmaLink|26,775|26\,775}} }} {{eqn | r = 31 \, 257       | c =  }} {{eqn | n = n = 42       | l = \map \sigma {27\,405} - 27\,405       | r = 57 \, 600 - 27\,405       | c = {{SigmaLink|27,405|27\,405}} }} {{eqn | r = 30 \, 195       | c =  }} {{eqn | n = n = 43       | l = \map \sigma {28\,035} - 28\,035       | r = 56 \, 160 - 28\,035       | c = {{SigmaLink|28,035|28\,035}} }} {{eqn | r = 28 \, 125       | c =  }} {{eqn | n = n = 44       | l = \map \sigma {28\,665} - 28\,665       | r = 62 \, 244 - 28\,665       | c = {{SigmaLink|28,665|28\,665}} }} {{eqn | r = 33 \, 579       | c =  }} {{eqn | n = n = 45       | l = \map \sigma {29\,295} - 29\,295       | r = 61 \, 440 - 29\,295       | c = {{SigmaLink|29,295|29\,295}} }} {{eqn | r = 32 \, 145       | c =  }} {{eqn | n = n = 46       | l = \map \sigma {29\,925} - 29\,925       | r = 64 \, 480 - 29\,925       | c = {{SigmaLink|29,925|29\,925}} }} {{eqn | r = 34, 555       | c =  }} {{eqn | n = n = 47       | l = \map \sigma {30\,555} - 30\,555       | r = 61 \, 152 - 30\,555       | c = {{SigmaLink|30,555|30\,555}} }} {{eqn | r = 30 \, 597       | c =  }} {{eqn | n = n = 48       | l = \map \sigma {31\,185} - 31\,185       | r = 69 \, 696 - 31\,185       | c = {{SigmaLink|31,185|31\,185}} }} {{eqn | r = 38 \, 511       | c =  }} {{eqn | n = n = 49       | l = \map \sigma {31\,815} - 31\,815       | r = 63 \, 648 - 31\,815       | c = {{SigmaLink|31,815|31\,815}} }} {{eqn | r = 31 \, 833       | c =  }} {{eqn | n = n = 50       | l = \map \sigma {32\,445} - 32\,445       | r = 64 \, 896 - 32\,445       | c = {{SigmaLink|32,445|32\,445}} }} {{eqn | r = 32 \, 451       | c =  }} {{eqn | n = n = 51       | l = \map \sigma {33\,075} - 33\,075       | r = 70 \, 680 - 33\,075       | c = {{SigmaLink|33,075|33\,075}} }} {{eqn | r = 37 \, 605       | c =  }} {{eqn | n = n = 52       | l = \map \sigma {33\,705} - 33\,705       | r = 67 \, 392 - 33\,705       | c = {{SigmaLink|33,705|33\,705}} }} {{eqn | r = 33 \, 687       | c = and so $33\,705$ is not abundant }} {{end-eqn}} {{qed}}