Friedman Numbers in Base 2 11001 = 10110 11011 = 110+11 111111 = (11 + 1)11 – 1 1001111 = 11100 – 1 – 1 1010001 = 11100 + 0 + 0 1010011 = 11100 + 10 1100011 = 101010 – 1 1100100 = 101010 + 0 1100101 = 101010 + 1 1111001 = 1 × 101110 1111010 = 101110 + 1 1111011 = 10111 – 1 – 1 1111100 = 10111 – 1 – 0 1111101 = (11 + 1 + 1)10+1 1111110 = (1 + 1)111 – 10 1111111 = (1 + 1)111 – 1 × 1 10001110 = 110010 – 10 10001111 = 110010 – 1 × 1 10011111 = 11 × 110101 10100111 = 110110 – 10 10101001 = 110110 + 0 + 0 10101011 = 110110 + 10 10101111 = 111 × 11001 10111101 = 11 × (10011 – 1) 10111111 = 11 × (1 + 1)110 – 1 11010110 = 11010+1 – 10 11010111 = 11010+1 – 1 × 1 11011000 = 11011 + 0 + 0 + 0 11011001 = 11011 + 0 + 0 + 1 11011010 = 11011 + 0 + 10 11011011 = 11011 + 0 + 11 11011100 = 11011 + 100 11011101 = 11011 + 101 11011110 = 11011 + 110 11011111 = 11011 + 111 11100001 = (10000 – 1)11 11101101 = 11101 – 110 11101110 = 11101 – 101 11101111 = 11101 – 11 – 1 11110001 = 11101 – 10 – 0 11110010 = –1 + 11100+1 + 0 11110011 = 1 + 11100+1 – 1 11110100 = 1 + 11101 + 0 + 0 11110101 = 1 + 11101 + 0 + 1 11110110 = 1 + 11101 + 10 11110111 = 1 + 11101 + 11 11111001 = 10111 × 10 – 1 11111010 = 10111 × (1 + 1) + 0 11111011 = 10111 × (1 + 1) + 1 11111100 = (10111 + 1) × 10 11111101 = 10(1+1)11 – 11 11111110 = (11 + 1)11+1 – 10 11111111 = (11 + 1)11+1 – 1 × 1 100011110 = 1000110 – 11 100011111 = 100011+1 – 1 – 1 100100001 = 1000110 + 0 + 0 100100011 = 1000110 + 10 100101111 = 1100101 × 11 100111001 = (101100 + 1) / 10 100111011 = 1101001 × 11 100111110 = 1101010 × 11 100111111 = 11101 × 1011 101000011 = 1001010 – 1 – 0 101000100 = 1001010 + 0 + 0 101000101 = 1001010 + 0 + 1 101000110 = 1001010 + 10 101000111 = 1001010 + 11 101001111 = 11111 – 1000 101010101 = (1000 – 1)11 – 10 101010110 = (1000 – 1)11 – 1 – 0 101010111 = (101 + 0 + 10)11 × 1 101011001 = (1000 – 1)11 + 10 101011011 = 11111 + 100 + 0 101011110 = 110010 × 111 101011111 = 1110101 × 11 101100111 = 1001110 – 1 – 1 101101001 = 100111+1 + 0 + 0 101101010 = 1001110 + 0 + 1 101101011 = (1011 – 0)10 × 11 101101101 = (11110 + 1 + 0) / 10 101110111 = (1 + 0 + 1 + 1) × 10111 101111010 = (10011 – 1) × 110 101111101 = (10111 – 1) × (10 + 1) 101111110 = 10111 × 11 – 10 101111111 = 10111 × 11 – 1 × 1 110001101 = 1010010 – 11 110001110 = 1010010 – 1 – 1 110001111 = 101001+1 – 1 110010000 = 1010010 + 0 + 0 110010001 = 1010010 + 0 + 1 110010010 = 1010010 + 10 110010011 = 1010010 + 11 110010101 = 11100 × 101 + 0 110101101 = (110010 – 1) × 11 110101110 = (11010+1 – 1) × 10 110101111 = 11010+1 × (1 + 1) – 1 110110011 = (110010 + 1) × 11 110110110 = 1010110 – 11 110110111 = (11 × 111)10 – 10 110111000 = 1010110 – 1 – 0 110111001 = 1010110 × 1 × 1 110111010 = 1010110 + 1 × 1 110111011 = (11 × 111)10 + 10 110111100 = 1010110 + 11 110111111 = (1 + 1)110 × 111 – 1 111001011 = 1111 × 10001 111100010 = 1011010 – 10 111100011 = 1011010 – 1 × 1 111100100 = 101101+1 + 0 + 0 111100101 = 111+100 × 10 – 1 111100110 = (1 + 1 + 1)100+1 × 10 111100111 = 111+100 × (1 + 1) + 1 111101010 = 11110 × 1010 111101100 = (11100 + 1) × 110 111110011 = 101011 / (1 + 1) – 1 111110100 = 101011 / (1 + 1) + 0 111110101 = 101011 / (1 + 1) + 1 111111000 = (10111 + 1) × 100 111111001 = –111 + (1 + 1))1001 111111010 = 1011×11 – 110 111111011 = 11 × (–1 + 1110)1+1 111111100 = (111 + 1)11 – 100 111111101 = (111 + 1)11 – 10 – 1 111111110 = (111 + 1)11 – 1 – 1 – 0 111111111 = (11 – 1)111+1+1 – 1 1000001111 = (11000 – 1)10 – 10 1000110111 = (1000 + 1)10 × 111 1000111010 = 1100010 – 110 1000111011 = 110001+1 – 101 1000111100 = 110001+1 – 100 1000111101 = 110001+1 – 11 – 0 1000111110 = (1000 × 11)1+1 – 10 1000111111 = (1000 × 11)1+1 – 1 × 1 1001001111 = 11 × 11000101 1001010111 = 101010 × 110 – 1 1001011011 = 11 × 11001001 1001011101 = 101110 × 101 + 0 1001011110 = (101010 + 1) × 110 1001100101 = 101100 – 1100 1001101011 = 101100 – 101 – 1 1001101100 = –100 – 1 + 101100 1001101101 = 101100 – 11 – 1 1001101110 = 101100 – 11 – 1 × 0 1001101111 = –1 + 0 + 0 – 1 + 10111+1 1001110000 = 101100 – 1 – 0 – 0 – 0 1001110001 = (100 + 1)11+0+0+0+1 1001110010 = (100 + 1)1×100 + 1 + 0 1001110011 = (100 + 1)1×100 + 1 + 1 1001110100 = 101100 + 11 + 0 + 0 1001110101 = 10111+1 + 100 + 0 1001110110 = (10011 – 1) × 1010 1001110111 = 10111+1 + 110 + 0 1001111001 = 101100 + 1011 1001111010 = 101100 + 1110 1001111011 = (10111 – 1 – 0) × 101 1001111100 = 101100 + 1011 1001111101 = 11110 × 1101 + 0 1001111110 = 10111 × 101 – 10 1001111111 = (100 + 1) × (1 + 1)111 – 1 1010000111 = 110100 / 10 – 1 1010011110 = 1101010 – 110 1010011111 = 110101+1 – 101 1010100011 = 1101010 – 1 – 0 – 0 1010100100 = 1101010 + 0 + 0 + 0 1010100101 = 1101010 + 1 + 0 + 0 1010100110 = 1101010 + 10 + 0 1010100111 = 1101010 + 11 + 0 1010101101 = (1000 – 1)11 × 10 – 1 1010101110 = (101 + 0 + 10)11 × 10 1010101111 = 10 × (10 + 101)11 + 1 1010111011 = 11 × 11101001 1010111100 = 101010 × 111 1010111101 = 11110 – 11100 1010111110 = 1111 × 11010 1010111111 = (1 + 1)110 × 1011 – 1 1011000111 = 11110 – 10010 1011001001 = 11110 – 10000 1011001011 = (110010 – 1) × 101 1011001101 = 11110 – 1100 1011001111 = 11001+1 × 101 – 1 1011010001 = 11110 – 1000 1011010010 = 10 × (–1 + 10100)10 1011010011 = 11110 – 110 – 0 – 0 1011010101 = 11110 – 10 – 10 – 0 1011010110 = (1011 + 0)10 × 110 1011010111 = (10 + 1)10×(10+1) –1 – 1 1011011000 = –1 + 0 + (1 + 10)110 + 0 + 0 1011011001 = –1 + 0 + (1 + 10)110 + 0 + 1 1011011010 = –1 + 0 + (1 + 10)110 + 10 1011011011 = –1 + 0 + (1 + 10)110 + 11 1011011100 = 10 + 1 + (10 + 1)110 + 0 1011011101 = 10 + 1 + (10 + 1)110 + 1 1011011110 = –1 + 110 + 11110 1011011111 = ((10 + 1)101 + 1 + 1) × 11 1011100001 = 11110 + 1000 + 0 1011100011 = 11110 + 1010 + 0 1011100101 = 11110 + 1100 + 0 1011100111 = 11110 + 1110 + 0 1011101001 = 11110 + 10010 1011101010 = 11110 + 10001 1011101101 = (10111 + 0) × 110 – 1 1011101110 = (10111 + 0 × 1) × 110 1011101111 = 10 × 11 × 10111 + 1 1011110001 = 11110 + 11000 1011110011 = 11110 + 11010 1011110100 = 11010 × 10101 1011110101 = 11110 + 11100 1011110111 = 11110 + 11110 1011111001 = 11110 + 10101 1011111010 = (10111 – 1) × 110 + 0 1011111011 = (10111 – 1) × 110 + 1 1011111100 = ((1 + 1)1000 – 1) × 11 – 1 1011111101 = (10(1 + 1)11 – 1) × (10 + 1) 1011111110 = (10111 × 11 – 1) × 10 1011111111 = (1 + 0 + 1)(1 + 1)11 × 11 – 1 1100001110 = 1110010 – 10 + 0 1100001111 = 1110010 – 10 + 1 1100011110 = (101001+1 – 1) × 10 1100011111 = 101001+1 × (1 + 1) – 1 1100101010 = 11100 × 1010 + 0 1100101011 = 11100 × 1010 + 1 1100110011 = (100110 – 1) / 101 1100111111 = (1 + 1)110 × 1101 – 1 1101000111 = 1110110 – 10 – 0 1101001001 = 1110110 + 0 + 0 + 0 1101001011 = 1110110 + 10 + 0 1101001101 = 1110110 + 100 1101001111 = 1110110 + 110 1101011010 = (110010 – 1) × 110 1101011011 = (11011 – 1) × 100 – 1 1101011100 = (11010+1 – 1) × 100 1101011010 = (110010 – 1) × 110 1101011011 = (11011 – 1) × 100 – 1 1101011100 = (11010+1 – 1) × 100 1101011101 = 110011 / 10 – 11 1101011110 = 110011 / 10 – 1 – 1 1101011111 = (110 × 10)11 / (1 + 1) – 1 1101100011 = 100011+1 × 11 + 0 1101100110 = (110010 + 1) × 110 1101101011 = (110 + 1) × (101 + 0)11 1101110001 = 1010110 × 10 – 1 1101110010 = 1010110 × 10 × 1 1101110011 = 1010110 × (1 + 1) + 1 1101110100 = (1010110 + 1) × 10 1101111010 = 11100 × 1011 – 1 1101111011 = (1 + 10)1+11 × 1011 1101111100 = 1 + 1011 × 11100 1101111101 = 1111010 – 111 1101111110 = 10111 × 111 – 10 1101111111 = (1 + 1 + 0)111 × 111 – 1 1110000100 = (100000 – 10)1+1 1110010110 = 1111 × 100010 1110111011 = 1111110 – 110 1110111101 = 111111+1 – 100 1110111110 = 1111110 – 11 – 0 1110111111 = ((1 + 1)101 – 1)1+1 – 1 – 1 1111000000 = (100000 – 1)10 – 1 1111000001 = (10101 – 1)10 + 0 + 0 1111000010 = (100000 – 1)1+1 + 1 1111000011 = (10101 – 1)10 + 10 1111000110 = (1011010 – 1) × 10 1111000111 = (101101+1 × 10) – 1 1111001000 = 1011010 × 10 + 0 1111001001 = 1011010 × 10 + 1 1111001010 = (1011010 + 1) × 10 1111001011 = –1 + 11 × 100101+1 1111001100 = (1 + 1 + 1)100+1 × 100 1111001101 = 11101 × 100 + 0 + 1 1111001110 = 11101 × 100 + 10 1111001111 = 11101 × 100 + 11 1111010011 = 111010 × 101 – 1 1111010100 = 11110 × 10100 1111010101 = 1 + 111010 × 101 1111011000 = (11100 + 1) × 1100 1111011001 = (111010 + 1) × 101 1111011010 = 101011 – 1110 1111100000 = 101011 – 1000 1111100010 = 101011 – 110 – 0 1111100011 = 101011 – 101 × 1 1111100100 = 101011 – 100 × 1 1111100101 = –1111 + 100101 1111100110 = (1011 – 1)11 – 10 – 0 1111100111 = ((1 + 1)11 + 10 + 0)11 – 1 1111101000 = 101011 + 1 × 1 × 0 × 0 1111101001 = (1 + 1 + 1110)10+0+1 1111101010 = 101011 + 1 + 1 + 1 × 0 1111101011 = 1 + 1 + 1 × 1 + 101011 1111101100 = 101011 + 101 – 1 1111101101 = 101011 + 11 + 1 + 1 1111101110 = 101011 + 111 – 1 1111101111 = 111 + (–1 + 1011)11 1111110000 = 110010 × 111 + 0 1111110001 = 110010 × 111 + 1 1111110010 = (1 + 1)1010 – 1110 1111110011 = (1 + 1)1010 – 1101 1111110100 = (1 + 1)1010 – 1100 1111110101 = (11 + 1)101 – 1011 1111110110 = (1 + 1) × 11 × 110110 1111110111 = (11 + 1)101 – 111+1 1111111000 = ((1 + 1)111 – 1) × 1000 1111111001 = –111 + (1 + 1)1+1001 1111111010 = –11 × (1 + 1) + (1 + 1)1010 1111111011 = –11 – 1 + (11 + 1)101 – 1 1111111100 = ((1 + 1)(1+1)11 – 1) × 100 1111111101 = ((1 + 1)11×11 – 1) × 10 – 1 1111111110 = ((1 + 1 × 1)11×11 – 1) × 10 1111111111 = ((1 + 1)111+11 – 1 × 1 × 1

 Friedman Numbers in Base 3 121 = 112 221 = 122 1022 = 202 – 1 1122 = 2 × 211 1211 = 211+1 1212 = 1 + 212 2022 = 220 – 2 2101 = (1 + 1)20 2102 = 220 + 1 10122 = 1012 – 2 10201 = 1012 + 0 11022 = 2 × 2011 11122 = 1 × 121+2 11202 = (1 + 1)20 × 2 11220 = 2 × 2110 12021 = 1102 – 2 12022 = –1 + (20 × 2)2 12100 = 1102 + 0 12101 = 1102 + 1 12102 = 1102 + 2 12122 = 2 × 2211 12221 = 12 × 212 21021 = 1122 + 0 21102 = 2 × 1012 22021 = 1202 – 2 22100 = 1202 + 0 22101 = 1202 + 1 22102 = 1202 + 2 100111 = (10 + 0 + 1)11 100112 = 2100–1 + 1 101122 = 2 × 1102 – 1 101201 = (200 – 1)1+1 101202 = (200 – 1)2 + 1 101222 = 11 × 2202 102202 = 2002 – 21 102212 = 1 × 12 × 220 102220 = 2002 – 2 – 1 102221 = (201 – 1)2 – 2 102222 = (202 / 2)2 – 1 110022 = 2 × 20011 110122 = 2110 – 2 × 1 110201 = 2110 – 1 × 0 110202 = 2110 + 20 (BH) 110220 = 2 × 20110 111022 = 2012 – 1 – 1 111102 = 2011+1 + 1 111220 = (1 + 2) × 1210 112002 = 2 × 201001 112012 = 10 × 221 – 1 112020 = (1 + 1)20 × 20 112021 = 10 × 221 + 1 112022 = 10 × 221 + 2 112112 = 1121+1 × 2 112200 = 2 × 21100 112202 = 2022 – 1 – 1 112210 = 2021+1 – 1 112211 = (211 – 2)1+1 112212 = (211 – 2)2 + 1 112220 = 2022 + 1 + 1 120221 = 2 × (201+2 – 1) 121002 = 2 × (1020 + 1) 121012 = 2102 – 11 121020 = 2102 – 10 121021 = –1 + 2102 – 1 121022 = 1 + 2102 – 2 121100 = 2101+1 + 0 121101 = 2101+1 + 1 121102 = 2101+1 + 2 121121 = 21 × 111+2 121200 = 10102 / 2 121202 = 2 × (1202 + 1) 121220 = 2 × 22110 122012 = 22 × 2011 122122 = 2112 – 22 122201 = 2112 – 20 122210 = 120 × 212 122211 = 2112 – 2 – 1 122212 = 2 × ((1 + 2)12 + 2) 122220 = (202 + 2)2 – 1 122221 = (2 × (2 × 12 + 1))2 200221 = 2102 – 20 200222 = (2 + 0 + 0) × 222 201121 = 2121+1 + 0 201122 = 2122 + 1 + 0 210022 = 2202 – 1 – 0 211020 = 20 × 1012 211212 = 1211 – 22 211222 = 122×2 – 12 212011 = (21 – 2)0+11 212012 = 122×2 + 0 + 1 212021 = 122×2 + 10 212101 = 1211 + 20 212112 = 12 × (221 – 1) 212122 = 12 × 221 – 2 212201 = 12 × 221 + 0 220221 = 2222 – 10 220222 = (220 + 2)2 – 2 221001 = (1001 – 2)2 221021 = 2 × (2110 – 2) 221101 = 2 × 2110 – 1 221102 = 2 × 211+0+2 221110 = 2 × 2110 + 1 221120 = 2 × (2110 + 2) 221221 = 21 × (2 + 12)2 222200 = 202 × 202 222201 = (1 + 2)20 – 22 222202 = (202 + 2)2 / 2 222221 = (1 + 2)2+2+2 – 2

 Friedman Numbers in Base 4 121 = 112 123 = (1 + 2)3 1203 = 3 × 201 1230 = 3 × 210 1321 = 231+1 1322 = 232 + 1 1331 = (3 + 1 + 1)3 1332 = (3 + 2)3 + 1 2032 = 302 – 2 2213 = 312 – 2 3120 = 123 + 0 3121 = 123 + 1 3122 = 123 + 2 3123 = 3 + 123 3322 = 2 × (3 × 2)3 10132 = 1012 – 3 10201 = 1012 + 0 10221 = 21 × 201 11113 = 131+1+1 11133 = 3 × 1311 11221 = (111 – 2)2 11313 = 113 × 1 × 3 12003 = 3 × 2001 12030 = 3 × 2010 12031 = 1102 – 3 12100 = 1102 + 0 12101 = 1102 + 1 12102 = 1102 + 2 12103 = 1102 + 3 12232 = 2 × 123 – 2 12233 = –1 + 2 × (2 × 3)3 12300 = 3 × 2100 12303 = 3 × (302 + 1) 12321 = ((1 + 2) × 13)2 12323 = (3 × 13)2 + 2 13023 = 21 × 303 13211 = 2 × 311 + 1 13212 = 2 × 312–1 13222 = 132 × 22 13233 = 313 × 32 13322 = 23×3 – 12 13323 = (3 × 31)2 / 3 13331 = (1 + 1)3×3 – 3 13332 = (–1 + 3)3×3 – 2 21233 = (2 + 3)1+3 – 2 21301 = 113+20 21331 = 31 × 132 21333 = 3 × (123 – 3) 22210 = 1222 + 0 22211 = 1222 + 1 22212 = 1222 + 2 22213 = 1222 + 3 22330 = 32 × 302 22332 = 3 × 3222 23031 = 312 – 30 23102 = 2 × 1032 23112 = 312 – 1 – 2 23113 = –2 + 3(1+1)×3 23120 = 312 – 20 23121 = (23 + 1)2+1 23122 = 32+2+2 + 1 23123 = 2 + 31×2×3 23130 = 312 + 3 + 0 23131 = 312 + 3 + 1 23132 = 312 + 3 + 2 23133 = 312 + 3 + 3 23201 = 312 + 20 23213 = 312 + 32 23322 = 3 × (223 – 2) 31021 = 1312 + 0 31323 = 31+3 × 23 33211 = (21 + 1)3 – 3 33212 = (32 + 1)3 – 2 33220 = ((2 + 3) × 2)3 + 0 33221 = ((2 + 3) × 2)3 + 1 33222 = ((2 + 3) × 2)3 + 2 33223 = 3 + ((3 + 2) × 2)3 33232 = 223 + 3 + 3 33312 = (3 + 3) × 312 33322 = 2 × (23×3 – 3)

 Friedman Numbers in Base 5 121 = 112 224 = 22+4 1232 = 22 × 31 1241 = 241+1 1242 = 1 + 242 1331 = (3 × (1 + 1))3 1332 = (3 × 2)3 + 1 1433 = 143 / 3 1443 = 44 – 13 2123 = 322 – 1 2124 = (24 + 1)2 2244 = (4 × 4 + 2)2 2333 = (–2 + 3 × 3)3 2421 = (41 – 2)2 2423 = 342 + 2 2433 = 4 × 332 3042 = 402 – 3 3421 = 2 × 34+1 3422 = 3 + 422 4243 = 442 – 3 4441 = (4 + 1)4 – 4 10142 = 1012 – 4 10201 = 1012 + 0 10314 = 311 – 40 10413 = 311 + 4 + 0 11424 = 44 × 112 12041 = 1102 – 4 12100 = 1102 + 0 12101 = 1102 + 1 12102 = 1102 + 2 12103 = 1102 + 3 12104 = 1102 + 4 12144 = 4 × 21 × 41 12320 = 22 × 130 12321 = (2 × 31 – 1)2 12324 = 2 × 3412 12340 = 4 × 310 – 2 12342 = 4 × (1 + 2)2+3 12343 = 4 × 32+3 + 1 12344 = 4 × 31+4 + 2 13041 = 1 × 410 – 3 13043 = 430/3 – 1 13044 = (1 + 3)0+4 × 4 13102 = (1 + 1)20 + 3 13321 = 1132 – 3 13323 = 32 × (1 + 3)3 13324 = (3 × (3 × 4 – 1))2 14111 = 1141+1 14112 = 1142 + 1 14214 = 4 × 2141 14330 = 1 × 30 × 34 20141 = (12 – 1)4 + 0 20311 = 1 × 213 + 0 20312 = 213 + 20 21144 = 4 × 2411 21232 = –2 + 1232 21234 = (1 × 2 × 34)2 21243 = 1232 + 4 21311 = 2 × (–1 + 311) 21313 = 2 × (13 + 1)3 21314 = 2 × 143 + 1 21414 = 24 × 411 22041 = (2 × 40 – 1)2 22314 = 21 × (3 × 4)2 22400 = (2 × 40)2 + 0 22401 = (2 × 40)2 + 1 22402 = 2 + (2 × 40)2 22403 = (2 × 40)2 + 3 22404 = (2 × 40)2 + 4 23211 = (132 – 1)2 23212 = 2132 / 2 23334 = (3 × 4)3 – 32 23341 = (3 × 4)3 – 12 23343 = –2 – 3 (3 × 4)3 23344 = (23 + 4)3 – 4 23402 = 223 – 40 23403 = (23 + 4 + 0)3 23412 = 223 + 1 × 4 23434 = (3 × 4)3 + 24 24024 = (40 + 42)2 24132 = 31 × 422 24244 = 424 × 24 24330 = 4 × 3320 24343 = 42 × (34 + 3) 24344 = (34 + 44)2 30234 = (40 – 2)3 / 3 30444 = (403 – 4) / 4 31042 = 1402 – 3 31134 = 4 × (133 – 1) 31142 = 23×4–1 – 1 31143 = (3 – 1)–1+4×3 31144 = 13 × 44 + 1 31204 = 2 × (410 + 3) 31422 = 221 + 43 32221 = 312 – 2 / 2 32222 = 3(22+2)/2 32224 = 324/2 + 2 32233 = 3 × (32×3 + 2) 32242 = (24 – 2 / 2)3 32314 = (134 + 3)2 33204 = (4 × (30 – 3))2 33222 = 23 × 322 34021 = 124 – 30 34041 = (3 + 4)4 – 10 34042 = (20 – 3)4 – 4 34043 = (3 + 4)0+4 – 3 34101 = (3 + 4)10–1 34102 = 124 + 30 34210 = 20 × 31+4 34212 = 34 × 212 34412 = 124 + 34 34423 = 4 × ((2 + 3)4 – 3) 40214 = 20 × 44 – 1 40332 = 2 × (3 + 3)4 + 0 41122 = 2 × 214–1 43124 = 4 × 143 – 2 43131 = 4 × 33×(1+1) 43132 = 4 × 33×2 + 1 43134 = 4 × 143 + 3 43234 = 43 × 23+4 44231 = 3 × (41+4 – 2) 44233 = –4 + 42+3 × 3 44242 = 44 × (2 + 4) × 2 44301 = 3 × 410 + 4 44313 = 413 / 3 – 4 44314 = 3 × 4 × (44 + 1) 44331 = 413 / 3 + 4

 Friedman Numbers in Base 6 24 = 24 52 = 25 121 = 112 124 = 4 × 21 133 = 3 × 31 143 = –1 + 43 144 = 44–1 213 = 132 1043 = 34+1 + 0 1053 = 35 + 10 1135 = 5 × 131 1204 = 4 × 201 1224 = 2 × 412 1240 = 4 × 210 1242 = 2 × 421 1252 = 5 × 122 1303 = 3 × 301 1330 = 3 × 310 1352 = 312 – 5 1353 = 3 × 315 1423 = 23 × 41 1425 = 21 × 45 1524 = 4 × 251 1533 = 3 × 351 2212 = 2(2+1)2 2213 = 232 + 1 2235 = 352 – 2 2241 = (41 – 2)2 2355 = 35 × 52 2400 = 402 + 0 2401 = 402 + 1 2402 = 2 + 402 2403 = 402 + 3 2404 = 402 + 4 2405 = 402 + 5 2514 = 54 – 2 – 1 2515 = –2 + 55–1 2521 = 1 × 52+2 2534 = 54 + 32 2535 = (2 + 53) × 5 2544 = 5 × 44 / 2 3213 = 32+1+3 3214 = 34+2 + 1 3215 = 35+1 + 2 3453 = 5 × 433 3513 = 51 × 33 3524 = 33 × 51 4052 = 502 – 4 4352 = 45 – 32 4415 = 44+1 – 5 4424 = 44+2 / 4 4431 = 44+1 + 3 4432 = 4 + 43+2 4435 = 45 + 4 + 3 4452 = 45 + 24 4504 = 45 + 40 4515 = 45 + 51 5204 = 542 + 0 5325 = 5 × (35 – 2) 5343 = 5 × 34 × 3 5432 = (54 – 3) × 2 5442 = 54 × 4 / 2 5532 = 5 × 25+3 10125 = 1012 – 5 10201 = (100 + 1)2 10231 = 201 × 31 10321 = 301 × 21 10414 = 401 × 14 10452 = 504 × 12 11013 = 1031+1 11224 = (112 – 4)2 11225 = (12 × 5)2 + 1 11253 = 121 × 53 11305 = 1301 × 5 11343 = 141 × 33 11350 = 1310 × 5 11513 = 1 × 11 × 35 11535 = 5 × (1 + 1 + 5)3 11543 = 5 × 113 + 4 12004 = 2001 × 4 12024 = 4012 × 2 12040 = 2010 × 4 12042 = 4021 × 2 12051 = 1102 – 5 12100 = 1102 + 0 12101 = 1102 + 1 12102 = 1102 + 2 12103 = 1102 + 3 12104 = 1102 + 4 12105 = 1102 + 5 12144 = (12 – 1) × 44 12204 = 4102 × 2 12240 = 4120 × 2 12254 = 4125 × 2 12321 = (113 – 2)2 12342 = 242 × 31 12353 = 3 × (53+1 – 2) 12354 = 3 × (54 – 1) – 2 12400 = 400 × 21 12402 = 4201 × 2 12403 = 203 × 41 12420 = 4210 × 2 12520 = 50 × 122 12521 = 2 × 512 – 1 12522 = (–1 + 25)2 × 2 12532 = 12 × (35 – 2) 12542 = 4251 × 2 12544 = 4 × 4 × 152 12554 = (1 + 5)5 / 4 – 2 13003 = 3001 × 3 13030 = 3010 × 3 13053 = 3015 × 3 13132 = (13 + 1)3 × 2 13213 = 3 × 231+1 13220 = 2102 / 3 13235 = 215 – 3 × 3 13242 = 214 – 2 × 3 13244 = 123 × 4 – 4 13245 = 1 × 2 × 45 – 3 13251 = 2 × (1 + 3)5 – 1 13252 = (–1 + 3)2×5 × 2 13253 = 23+3+5 + 1 13254 = 2 × 45 + 3 – 1 13255 = 25+5+1 + 3 13300 = 3100 × 3 13325 = 215 + 33 13435 = 53 × 43 – 1 13452 = 352 + 1 × 4 13530 = 3150 × 3 13543 = 13 × (35 – 4) 13553 = 3155 × 3 14023 = 401 × 23 14043 = (–1 + 4 + 0)4+3 14121 = (111 + 4)2 14124 = 221 × 44 14125 = 1152 + 4 14230 = 230 × 41 14250 = 210 × 45 14252 = 5124 × 2 14322 = 431 × 22 14343 = 3 × 3 × (44 – 1) 14344 = 44 × (34 + 1) 14352 = 35 × 142 14413 = 13 × (44 + 1) 14522 = 5241 × 2 14523 = 4215 × 3 15024 = 504 × 21 15041 = (1 + 5 + 0 + 1)4 15042 = (5 + 0 + 2)4 + 1 15134 = 114 + 53 15204 = 2501 × 4 15213 = 513 × 21 15224 = 5412 × 2 15234 = 5 × 31 × 42 15240 = 2510 × 4 15242 = 5421 × 2 15243 = 2143 × 5 15303 = 3501 × 3 15323 = 32 × (53 – 1) 15324 = (–1 + 5) × (3 + 2)4 15330 = 3510 × 3 15343 = 3 × 43 × 51 15344 = 1 × 4 × (54 + 3) 15353 = 3515 × 3 15404 = 4 × (54 + 10) 15432 = 5 × (123 – 4) 15524 = 2551 × 4 15533 = 3551 × 3 15542 = 2 × ((1 + 5)4 – 5) 20412 = 224 – 1 – 0 21300 = 1302 + 0 21301 = 1302 + 1 21302 = 2 + 1302 21303 = 1302 + 3 21304 = 1302 + 4 21305 = 1302 + 5 21324 = 3221 × 4 21354 = 314 × 52 21435 = 2431 × 5 21455 = 251 × 45 22120 = 20 × 212 22245 = 2 × (2 – 2) + 45 22251 = 52+2+1 + 2 22253 = 53+2 + 2 + 2 22255 = 2 + 2 + 2 + 55 22304 = (304 / 2)2 22305 = 52+3 + 20 22355 = 22 × 3 + 55 22452 = 2 × (2 × 4 × 5)2 22505 = 55 + 220 23013 = (31 × 3)2 + 0 23254 = 22× (35 – 4) 23324 = (2 + 33)2 × 4 23325 = 233 – 2 × 5 23333 = 233 – 3 – 3 23341 = (3 × (4 + 1))3 – 2 23343 = (2 + 3 × 3 + 4)3 23344 = 233 + 4 / 4 23345 = (3 × 5)3 + 4 – 2 23350 = (50 / 2)3 + 3 23351 = 233 + 5 – 1 23353 = 2 × 3 + (3 × 5)3 23424 = 442 × 32 23514 = 14 × (2 + 5)3 23550 = 350 × 52 24135 = (423 – 1) / 5 24332 = (3 + 4) × 232 24353 = (3 × 4 × 5)2 – 3 24513 = 5 × (2 × 4 + 1)3 24533 = 423 × 35 25044 = 404 × 52 25045 = 55 + 402 25121 = (2 × 51 – 1)2 25210 = (10 × 5)2 + 2 25221 = 21 × 252 25350 = 50 × (53 + 2) 25413 = 413 × 52 25434 = 2 × 5 × 44 – 2 25440 = (50 / 2) × 44 25444 = (54 + 44)2 25551 = (5 + 1)5 / 2 – 5 30541 = 45+1 – 3 – 0 30542 = (3 + 0 + 5)4 – 2 30543 = (3 + 5)4 – 30 30544 = ((–3 + 0 + 5) × 4)4 30545 = (3 + 5)4 + 50 31155 = 3511 × 5 31321 = ((3 + 1)3 + 1)2 31324 = (43 + 1)2 + 3 32114 = 2 × (311 – 4) 32125 = 2 × 32+5 – 1 32130 = 3 × 2 × 310 32214 = 2 × (213 + 4) 32242 = 2342 / 2 32441 = (43 + 4 – 1)2 33213 = 31 × 32+3 33215 = 31 × 35 + 2 33224 = (34 × 3 + 2)2 33233 = (333 – 3) / 2 34112 = 2 × (114 – 3) 34120 = 3 × 1042 34122 = (3 × 2 + 1)4 + 2 34124 = 2 × ((3 + 4)4 + 1) 34421 = (42 + 1)3 – 4 34425 = (4 × 2 + 4 + 5)3 34433 = (33 – 4)3 + 4 34530 = 4330 × 5 35052 = (5 × 2)3 × 5 + 0 35130 = 510 × 33 35233 = 33 × (35 – 2) 35255 = 535 × 52 35343 = 35 × (3 + 4) × 3 35405 = -3 + 5 × 40+5 35412 = 1 × (3 + 2) × 45 35415 = 3 + 5 × 41×5 35421 = (3 + 2) × (45 + 1) 35425 = 5 × 45 + 32 35513 = 515 × 33 41345 = 134 – 45 41354 = 431 × 54 41453 = 441 × 53 41525 = 521 × 45 42013 = (41 × 3)2 + 0 42420 = 2042 – 4 43234 = (34 – 4)2 – 3 43241 = 1 × (34 – 4)2 43521 = 41 × (35 – 2) 44240 = 40 × (4 × 4)2 44521 = (4 × 4 × 5 – 1)2 44531 = 14 × (54 – 3) 45515 = 5 × ((5 + 1)4 – 5) 45532 = 534 × 52 45551 = 5 × (5 + 1)4 – 5 50213 = 35+0+2+1 50233 = 35+3 + 20 51344 = 44 × (35 + 1) 51423 = 315–2 – 4 51430 = (40 – 5)3 – 1 51431 = (5 × 1 × 4 – 1)3 51455 = (5 + 1 + 5) × 54 51514 = 15 × (54 + 1) 52343 = 45 × 32+3 52345 = 45 × 35 + 2 53141 = 11 × (45 + 3) 53241 = (34 + 5 – 1)2 53250 = 50 × (35 – 2) 53430 = 5 × 34 × 30 54123 = (34 + 5)2 – 1 54124 = ((4 – 1)4 + 5)2 54212 = 45 × 212 54320 = 20 × (54 – 3) 54413 = (54 × 4 – 1) × 3 54420 = 40 × 54 / 2 54432 = 4 × (54 × 3 + 2) 54433 = (54 × 4 + 3) × 3 55320 = 50 × 25+3 55515 = -5 × 5 + (5 + 1)5 55542 = (4 + 2)5 – 5 – 5 55551 = (5 + 15)5 – 5 55553 = (5 / 5 + 5)5 – 3

 Friedman Numbers in Base 7 121 = 112 143 = 34 – 1 144 = (–1 + 4)4 264 = 4 × 62 514 = (5 – 1)4 1155 = 15 × 51 1253 = 312 – 5 1263 = 2 × 36–1 1331 = (1 + 1)3×3 1332 = 23×3 + 1 1452 = 51 × 42 1541 = 54 – 11 1544 = –1 + 54 – 4 1545 = 1 + 54 – 5 1551 = –1 + 55–1 1552 = 1 × (5 × 5)2 1553 = 1 + 5 × 53 1614 = 64 / (1+1) 2061 = (2 + 1)6 + 0 2063 = 36 + 2 + 0 2314 = 412 + 3 2343 = 4 × (2 × 3)3 2422 = –2 + 422 2424 = 424–2 2534 = 432 + 5 2542 = (45 – 2)2 2635 = (5 × 2)3 + 6 2640 = 40 × 62 2654 = 26+4 – 5 2662 = 26+6–2 3354 = 5 × 3 × 34 3425 = 2 × (54 – 3) 3464 = –34 + 64 3531 = (3 + 3)5–1 4323 = 3 × (4 × 2)3 4625 = (64 – 5)2 5062 = 602 – 5 5446 = (65 + 4) / 4 5622 = (65 – 2)2 6243 = (6 / 2)4+3 6265 = 652 – 6

 Friedman Numbers in Base 8 33 = 33 121 = 112 125 = 5 × 21 143 = 3 × 41 251 = 152 257 = 7 × 52 326 = 63 – 2 363 = 36 / 3 527 = 75–2 1133 = 3 × 311 1205 = 5 × 201 1250 = 5 × 210 1326 = 132 × 6 1327 = 37–1 – 2 1331 = 33×(1+1) 1332 = 1 + 33×2 1356 = 5 × 6 × 31 1403 = 3 × 401 1430 = 30 × 41 1626 = 21 × 66 1724 = 7 × 214 2147 = 7 × 241 2204 = 422 + 0 2342 = (2 + 3)4 × 2 2345 = 2 × 54 + 3 2346 = 3 × 642 2372 = 32 × 72 2416 = 64 – 1 × 2 2534 = (2 + 5)3 × 4 2544 = 5 × 424 2570 = 70 × 52 2642 = 462 – 2 2644 = 464–2 2662 = (2 / 6)–6 × 2 2754 = 472 – 5 3245 = 35 × 34 3275 = 5 × (73 + 2) 3534 = 3 × (54 + 3) 4213 = 34+2+1 4217 = 4 + (2 + 1)7 4237 = 37 + 24 4334 = 34 × 34 4527 = 74 – 5 × 2 4534 = (3 + 4)4 – 5 4537 = 74 – 5 + 3 4541 = (14 – 5)4 4572 = 74 + 52 4576 = 5 × 746 4654 = 4 × (–6 + 54) 5374 = 54 + 37 5676 = 6 × 765 5726 = 672 + 5 6065 = (–60 + 6)5 6072 = 702 – 6 7246 = (7 – 2)4 × 6

 Friedman Numbers in Base 9 121 = 112 134 = 4 × 31 314 = (3 + 1)4 628 = 8 × 26 1304 = 4 × 301 1326 = 2 × 613 1340 = 31 × 40 1354 = 45 – 1 × 3 1357 = 1 × (7 – 3)5 1362 = 2 × 631 1363 = 3 × (1 + 6)3 1438 = 18 × 43 1456 = 4 × 6 × 51 2086 = 20+8 × 6 2132 = (32 – 1)2 2136 = 6 × 321 2467 = 472 – 6 2472 = –2 + 472 2474 = 474–2 2725 = 27+5 / 2 2737 = –27 + 37 3254 = –3 + (2 + 5)4 3247 = 74 – 32 3257 = 75+2–3 3454 = 5 × (4 + 4)3 3458 = 5 × 83 + 4 3672 = (2 × 7)3 – 6 3678 = (7 × (8 – 6))3 4126 = 612 – 4 4252 = (4 + 2 / 2)5 4357 = 37 + 45 5485 = 84 – 55 6280 = 80 × 26 6827 = 782 + 6 7082 = 802 – 7 8836 = 38 – 6 × 8 8873 = 38 – 7 – 8

 Friedman Numbers in Base 11 121 = 112 2A9 = (A + 9)2 603 = 36 + 0 1163 = 361+1 1533 = 53 × 31 15A2 = 2A+15 16A3 = A × (63 + 1) 1974 = 74 + 91 1A18 = A × (1 + 1)8 2343 = 3 × 42+3 2345 = 2+ 3 × 45 2494 = (44 + 9)2 2783 = 82 × 37 2794 = 29 + 4 × 7 2883 = (8 × 8 – 3)2 3094 = (– 30 + 9)4 3317 = (3 – 1) × 37 3518 = 18 × 35 362A = 632 – A 3642 = 632 + 4 3879 = 7 × (93 – 8) 48A2 = 4 + (8 × A)2 4A18 = (A – 1)4 – 8 4A34 = 34+4 + A 4A38 = 4 + A + 38 4A98 = 94 + 10 × 8 5287 = 725 × 8 5327 = 27 × 35 5478 = 7 × (45 + 8) 7739 = (7 + 7) × 93 8A29 = 9A2 + 8 90A2 = A02 – 9 9A25 = A52 – 9 A428 = 4A × 28

 Friedman Numbers in Base 12 121 = 112 127 = 21 × 7 135 = 31 × 5 144 = 41 × 4 163 = 61 × 3 346 = 34 × 6 368 = 86–3 376 = 73 × 6 441 = (4 + 1)4 445 = 54 + 4 114A = 141 × A 1169 = 161 × 9 1207 = 201 × 7 1228 = 21+2+8 1229 = 1 + 22+9 122A = 2 × (2A + 1) 122B = 1 + 2 + 2B 123B = 2B + 13 1270 = 210 × 7 12B9 = 2B + 91 1305 = 301 × 5 1323 = 32×3+1 1350 = 310 × 5 1404 = 401 × 4 1428 = 814 × 2 1440 = 410 × 4 1476 = 74 – 6 – 1 1477 = 74 – 7 + 1 1481 = (8 – 1)4 × 1 1482 = 841 × 2 1544 = 1 × 54 × 4 1603 = 601 × 3 1630 = 610 × 3 1826 = 81 × 26 1924 = 91 × 24 1A28 = A8 × 21 1B53 = (-1 + B + 5)3 2379 = 927 × 3 2448 = (2 × 4)4 – 8 2452 = 542 – 2 2454 = -2 + 45 × 4 2468 = 46 + 2 × 8 2525 = 252 × 5 2541 = (54 + 1)2 2545 = 552 + 4 257A = 5 × 7 × A2 2636 = 6 × (36 – 2) 2779 = 79 × 72 2815 = 582 + 1 2942 = (-2 + 9)4 × 2 2A84 = (A4 – 8) / 2 2B36 = 326 × B 3166 = 631 × 6 3266 = 63 × 62 3460 = (60 / 4) 3548 = 834 × 5 35A6 = 6 × (A3 + 5) 3760 = 730 × 6 37B6 = 73B × 6 3963 = 39 / 3 – 6 3B76 = 7B3 × 6 416B = 461 × B 45A8 = 548 × A 46A8 = 6A4 × 8 47BA = 4A × B7 4892 = 2 × (84 – 9) 48A8 = (A – 2) × 84 4969 = 649 × 9 5513 = 55 × 1 × 3 5788 = 857 × 8 57BA = 75 × B × A 5954 = (9 + 5 / 5)4 597B = 9B5 × 7 5B14 = (11 – 1) × 45 5B22 = 2B + 2 × 5 6946 = 9 × (64 + 6) 7651 = (57 + 1) / 6 7A28 = 8A × 27 95A2 = 29+5 + A 9B2A = AB2 + 9 A0B2 = B02 – A A454 = 5A × 44 BA24 = A × 2B – 4

 Friedman Numbers in Base 13 121 = 112 237 = 27 × 3 24A = A2 × 4 1245 = (1 + 5)4 × 2 1246 = 64 × 2 + 1 1353 = 33 × 51 1524 = (1 + 2) × 45 1559 = 1 × 55 – 9 1565 = 1 × 56 / 5 1623 = 12 × 63 173A = 73 × A – 1 173B = 73 × (B – 1) 1829 = (8 – 1) × 29 1B27 = 2B+1 – 7 1B31 = (3 – 1)B+1 1B3C = (3 – 1)C + B 22B8 = 28 × B2 2370 = 30 × 27 248A = (4 × (8 + A))2 24A0 = 40 × A2 256B = B5 × 62 2653 = (56 + 3)2 2659 = 592 + 6 2866 = 66 / 8 – 2 2868 = 68–2 / 8 2A3B = 2B × 3 – A 2CA9 = (C – 9)A–2 31B9 = 39 × B1 3845 = (5 × (8 – 4))3 3C24 = (34 + C)2 3C25 = (C3 + 2) × 5 3C5B = C3 + 5 × B 3C96 = 93 × C – 6 3CA9 = 93 × C + A 426C = ((C + 4) × 6)2 4719 = (9 + 1)4 – 7 471A = (A + 7 – 1)4 5682 = 862 + 5 7155 = 55+1 – 7 7156 = 57–1 – 6 715C = (C – 7)5+1 7165 = 56 + 7 – 1 7166 = 7 + (–1 + 6)6 75C4 = (7 – 5)C × 4 77C5 = 75 – 7 × C A3B7 = (A + 7) × B3 AC2B = BC2 + A B0C2 = C02 – B

 Friedman Numbers in Base 14 121 = 112 128 = 21 × 8 135 = 1 × 35 144 = 1 × 44 173 = 71 × 3 237 = (3 × 7)2 248 = 82 × 4 288 = 82 × 8 294 = 42 × 9 396 = 36 – 9 3A1 = (A – 1)3 C37 = 7C/3 1196 = (1 + 1)9 × 6 11B6 = 16 × B6 1208 = 201 × 8 126A = 2A × 61 1280 = 21 × 80 1324 = (43 – 1)2 1350 = 10 × 35 1356 = 36 × 51 1375 = 371 × 5 137A = 73 × A + 1 1440 = 10 × 44 1447 = 41 × 47 1452 = (45 – 1)2 1488 = 41 × 8 × 8 14AC = 1C4 × A 16C2 = 1 × 2C – 6 16C8 = 1 × (8 – 6)C 1703 = 701 × 3 1730 = 71 × 30 1832 = (18 × 3)2 1B84 = 41 × B × 8 1C29 = C9 × 21 1C83 = 8C1 × 3 218C = 182 × C 21A8 = (A + 8)2+1 234C = (2 × 4)3 × C 2408 = 802 × 4 2480 = 40 × 82 2569 = (–2 + 5)6 × 9 2880 = 82 × 80 2940 = 90 × 42 29A4 = (9 × A – 4)2 2A3A = AA2 / 3 2B37 = B3 × 72 2D65 = D × 56–2 2D93 = 2D – 9 × 3 2DA3 = 2D – A + 3 2DAD = 2D + A – D 2DB1 = 2D – 1B 2DC0 = 2D + C + 0 2DC1 = 2D + C + 1 2DC2 = 2D + C + 2 2DC3 = 2D + C + 3 2DC4 = 2D + C + 4 2DC5 = 2D + C + 5 2DC6 = 2D + C + 6 2DC7 = 2D + C + 7 2DC8 = 2D + C + 8 2DC9 = 2D + C + 9 2DCA = 2D + C + A 2DCB = 2D + C + B 2DCC = 2D + C + C 2DCD = 2D + C + D 2DD1 = 2D + 1D 328C = 38–2 × C 378C = (C + 7) × 83 384C = C83 × 4 38D2 = 3 × D × 28 3904 = (30 + 9)4 415B = (45 – 1) × B 458C = C48 × 5 4BCA = BC/4 × A 517D = 571 × D 5962 = (65 + 9) × 2 59B7 = B59 × 7 5B97 = B95 × 7 61A7 = 76–1A 7645 = (46 – 7) × 5 8A2C = A28 × C 91AC = A91 × C 997B = B99–7 A929 = ((A + 9) × 9)2 BD2C = CD2 + B C0D2 = D02 – C D32C = 3D2 × C

 Friedman Numbers in Base 15 26 = 62 121 = 112 136 = 31 × 6 154 = 51 × 4 336 = –3 + 36 339 = 39–3 484 = 84 / 4 1144 = 411 × 4 11AA = 1A1 × A 1214 = 421+1 1235 = 21 × 53 12B3 = (1 + 2) × B3 12DA = 21 × A × D 12DC = 1D × C2 1306 = 301 × 6 132C = 2C + 3 – 1 1360 = 31 × 60 1469 = 94–1 × 6 1504 = 501 × 4 152A = A15 × 2 1540 = 51 × 40 15A2 = A51 × 2 163E = 6E × 31 17A3 = (A – 1)3 × 7 192A = 91 × 2A 1DB3 = D1 × B × 3 1E26 = (1 + 2)E–6 2428 = 842 / 2 2486 = (8 – 2)4 × 6 24A8 = 8A2 × 4 252E = 5E2 – 2 2585 = (5 × 8)2 × 5 258D = 52 × 8 × D 2600 = 602 + 0 2601 = 602 + 1 2602 = 2 + 602 2603 = 602 + 3 2604 = 602 + 4 2605 = 602 + 5 2606 = 602 + 6 2607 = 602 + 7 2608 = 602 + 8 2609 = 602 + 9 260A = 602 + A 260B = 602 + B 260C = 602 + C 260D = 602 + D 260E = 602 + E 2662 = (–2 + 6)6 × 2 2757 = (75 + 7) / 2 28C6 = 8C2 × 6 2B87 = B2 × 8 × 7 2E6A = AE–6 / 2 324D = (2 × D – 4)3 33D5 = (D3 + 3) × 5 345C = C53 × 4 34BA = BA × 43 36C9 = 6C/3 × 9 3839 = (3 + 8)3 × 9 3CAD = A3 × D – C 3D4A = DA × 43 3D66 = (D3 – 6) × 6 3D96 = D3 × 6 + 9 3DE6 = D3 + E × 6 3EBA = (B3 + E) × A 450B = B4 – 5 – 0 4511 = (11 – 5)4 452B = B4 + 52 4593 = (95 + 3) / 4 4639 = 49 × 63 491C = 9 × C4–1 4961 = (4 + 1)6 – 9 4965 = (9 – 4)6 – 5 496A = (A + 4 – 9)6 496E = 4 + (–9 + E)6 4CD2 = 2C × 4 + D 4EA7 = 74A/E 58DA = 85D × A 6224 = (6 × 2)4 – 2 6226 = (6 × 2)6–2 622C = C2+2 + 6 624C = C4 + 62 7DCB = C7 × D × B 86AC = A86 × C 8B74 = B78/4 8DA5 = D58 × A AC21 = (C1 + A)2 AC1B = CB2 + A B23C = 3B2 × C BDEC = EDB × C C20A = 2C + 0 × 10 C42E = (C4 – E) × 2 C452 = C4 × 2 + 5 CE2D = DE2 + C D0E2 = E02 – D DC56 = (D – C + 5)6 E326 = (E3 + 6)2 E329 = E92 + 3

 Friedman Numbers in Base 16 121 = 112 129 = 21 × 9 145 = 41 × 5 183 = 81 × 3 27D = 72 × D 57C = 75 × C 1209 = 201 × 9 1236 = 612 × 3 1263 = 621 × 3 1290 = 21 × 90 1405 = 401 × 5 1450 = 41 × 50 15F9 = F5–1 / 9 1803 = 801 × 3 1830 = 81 × 30 192C = 219 × C 19DE = 1D9 × E 1E2A = 21 × EA 2373 = 372 × 3 27D0 = D0 × 72 2BA8 = (2A – 8) × B 2F78 = F8 × 72 32FA = 3A × F2 3342 = (3 × 3)4 × 2 3A27 = 7A2 + 3 3F48 = 438 × F 41A7 = 74+1A 41EB = 4B × F1 4628 = 862 + 4 467E = (64 – 7) × E 46E0 = 64 × E + 0 46E1 = 64 × E + 1 46E2 = 64 × E + 2 46E3 = 64 × E + 3 46E4 = 64 × E + 4 46E5 = 64 × E + 5 46E6 = 64 × E + 6 46E7 = 64 × E + 7 46E8 = 64 × E + 8 46E9 = 64 × E + 9 46EA = 64 × E + A 46EB = 64 × E + B 46EC = 64 × E + C 46ED = 64 × E + D 46EE = 64 × E + E 46EF = 64 × E + F 4D39 = –4 + D3 × 9 4D3D = D3 × (D – 4) 52B7 = (5 × B)2 × 7 55C7 = 55 + C × 7 57C0 = 75 × C0 59DC = D5 × C × 9 5EC6 = 6C5 × E 5F7C = 7F5 × C 618F = 681 × F 672B = 76–2 × B 76BA = B6 × A7 7DFA = D7 × A × F 85FC = 8C × F5 DF2E = EF2 + D E0F2 = F02 – E E695 = 95 – E – 6