# This is the b279935.txt text file. # A279935: Numbers n such that n + sopf(n) + rad(n) = m and m - sopf(m) - rad(m) = n, where sopf(n) is the sum of the distinct primes dividing n and rad(n) is the squarefree kernel of n. # Dated 24 December 2016. 1 3 2 4 3 75 4 112 5 2057 6 9178 7 29818 8 73813 9 138992 10 240469 11 531002 12 661489 13 716856 14 763648 15 905474 16 1033909 17 1395554 18 1572001 19 1605519 20 1643372 21 1661030 22 1692277 23 1705724 24 2312593 25 2864773 26 2911839 27 2928193 28 2977676 29 3114366 30 3744951 31 4035647 32 4122178 33 4227036 34 5716177 35 6175515 36 6206978 37 7215910 38 7439838 39 7453662 40 8056279 41 8953070 42 9120373 43 9817909 44 9852757 45 10587831 46 11169782 47 12136034 48 12174123 49 12317653 50 13448982 51 13469804 52 13564158 53 13768447 54 14195166 55 15196556 56 15651692 57 16536639 58 16579143 59 16587736 60 18809742 61 20254531 62 20366520 63 23276378 64 23656087 65 24108791 66 24198310 67 24570421 68 26175480 69 28091696 70 28143822 71 28915510 72 30283023 73 30513759 74 30558328 75 30650497 76 32332849 77 34071194 78 34506423 79 34937023 80 36079544 81 36394446 82 36585598 83 36952587 84 38934287 85 38989678 86 41334595 87 41482567 88 41952606 89 43160353 90 45009464 91 45463856 92 47200474 93 47655578 94 50002167 95 51337430 96 52011751 97 53183468 98 53400088 99 53874695 100 57295746 101 57485363 102 57563527 103 57915212 104 58992310 105 59075335 106 59225387 107 62851958 108 63230677 109 64768703 110 65639234 111 66280734 112 67018741 113 67162047 114 67797579 115 69041531 116 70087030 117 71498206 118 72193240 119 72568606 120 74047835 121 74451895 122 75094494 123 75337156 124 79474039 125 79503630 126 80952208 127 81146527 128 82482126 129 83932502 130 85596478 131 90145806 132 91747662 133 95893688 134 96422714 135 97060686 136 99411198 137 99508892 138 100244401 139 103331838 140 105414783 141 105767511 142 106019094 143 108431578 144 108558023 145 109452715 # This is the end of the b text file.