# This b-file was computed by Antti Karttunen, 2022-02-20 # in GP/PARI CALCULATOR Version 2.9.4 (released) amd64 running linux (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Dec 19 2017, gcc version 7.3.0 (Ubuntu 7.3.0-1ubuntu1), threading engine: pthread # with the following program: # # A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); }; # isA351458(n) = { my(s=sigma(n), z=A276086(n)); (n*gcd(s,z))==(s*gcd(n,z)); }; # k=0; for(n=1,8053063680,if(isA351458(n),k++; print1(n,", "); write("b351458.txt", k, " ", n)); if(!(n%(2^28)),print1("(",n,")"))); 1 1 2 10 3 56 4 9196 5 9504 6 56160 7 121176 8 239096 9 354892 10 411264 11 555520 12 716040 13 804384 14 904704 15 1063348 16 1387386 17 1444352 18 1454112 19 1884800 20 2708640 21 3317248 22 3548920 23 4009824 24 4634784 25 6179712 26 6795360 27 7285248 28 14511744 29 16328466 30 28377216 31 29855232 32 31940280 33 37444736 34 42711552 35 49762944 36 52815744 37 56504448 38 60808320 39 67217920 40 86640840 41 93012192 42 109469184 43 111324416 44 122184832 45 123070752 46 156465504 47 169150464 48 170501760 49 176417280 50 176432256 51 178865568 52 194882688 53 217942400 54 228060800 55 238487424 56 266210560 57 291747456 58 336585600 59 345080736 60 389863936 61 396168192 62 421096704 63 429419320 64 459818240 65 502516872 66 502682112 67 555356032 68 608961024 69 620236032 70 662544896 71 665013888 72 709070648 73 874453888 74 881515008 75 947051028 76 985651200 77 988910208 78 1023220224 79 1051674624 80 1107901152 81 1112365184 82 1185905448 83 1321264256 84 1336325452 85 1544021248 86 1565777920 87 1755921024 88 1841478624 89 2027968488 90 2050583040 91 2076295680 92 2371832320 93 2442109824 94 2490632056 95 2549981184 96 2561844480 97 2584298808 98 2683018752 99 2719503072 100 2947435648 101 3145420512 102 3151825792 103 3281649280 104 3433643136 105 3452207616 106 3491161344 107 3508775424 108 3654914176 109 3756176928 110 3922224768 111 3961353600 112 4008300192 113 4069191672 114 4071022592 115 4092536448 116 4506218752 117 4525206400 118 4962809728 119 4998204288 120 5168097792 121 5415113088 122 6030202464 123 6128179200 124 6197463168 125 6311399328 126 6390705024 127 6417841248 128 6715802016 129 7357806720 130 7746979968 131 7865312000 132 7870084992