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Old 2021-04-13, 07:25   #1079
garambois
 
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"Garambois Jean-Luc"
Oct 2011
France

32·5·13 Posts
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Quote:
Originally Posted by Happy5214 View Post
I dared, and I came up short. It took two hours with 8 threads on my Kubuntu Focus, and it generated over 39 MB of factors. More than half of the time was spent on the sigma calculation Thanks to changes to my code (available on GitHub) that also output the abundance ratio (I also added changes to the argument passing and the ability to pass the exponent via a file), I was able to grep the output (which had been redirected to a file) and see this:

Code:
Index 1 of 3^5722[...]9375 is not abundant. (0.96466)
Sorry. It only improved from 0.936224 at 30000000, so I think you'll have to go for k.
OK, I have an exponent k :
Code:
k = 
3^8 * 5^7 * 7^5 * 11^4 * 13^4 * 17^3 * 19^3 * 23^2 * 29^3 * 31^2 * 37^3 *  41^2 * 43^2 * 47^2 * 53^2 * 59^2 * 61^2 * 67^2 * 71^2 * 73^2 * 79^2 *  83^2 * 89^2 * 97^2 * 101 * 103 * 107 * 109^2 * 113^2 * 127^2 * 131^2 *  137 * 139 * 149 * 151^2 * 157 * 163 * 167 * 173 * 179 * 181 * 191^2 *  193 * 197 * 199 * 211^2 * 223 * 227 * 229 * 233^2 * 239^2 * 241 * 251 *  257 * 263 * 269 * 271^2 * 277 * 281 * 283^2 * 293 * 307 * 311 * 313 *  317 * 331 * 337 * 347 * 349 * 353 * 359 * 367 * 373 * 379 * 383 * 389 *  397 * 401 * 409 * 419 * 421 * 431 * 433 * 439 * 443 * 449 * 457 * 461 *  463 * 467 * 479 * 487 * 491 * 499 * 503 * 509 * 521 * 523 * 541 * 547 *  557 * 563 * 569 * 571 * 577 * 587 * 593 * 599 * 601 * 607 * 613 * 617 *  619 * 631 * 641 * 643 * 647 * 653 * 659 * 661 * 673 * 677 * 683 * 691 *  701 * 709 * 719 * 727 * 733 * 739 * 743 * 751 * 757 * 761 * 769 * 773 *  787 * 797 * 809 * 811 * 821 * 823 * 827 * 829 * 839 * 853 * 857 * 859 *  863 * 877 * 881 * 883 * 887 * 907 * 911 * 919 * 929 * 937 * 941 * 947 *  953 * 967 * 971 * 977 * 983 * 991 * 997 * 1009 * 1013 * 1019 * 1021 *  1031 * 1033 * 1039 * 1049 * 1051 * 1061 * 1063 * 1069 * 1087 * 1091 *  1093 * 1097 * 1103 * 1109 * 1117 * 1123 * 1129 * 1151 * 1153 * 1163 *  1171 * 1181 * 1187 * 1193 * 1201 * 1213 * 1217 * 1223 * 1229 * 1231 *  1237 * 1249 * 1259 * 1277 * 1279 * 1283 * 1289 * 1291 * 1297 * 1301 *  1303 * 1307 * 1319 * 1321 * 1327 * 1361 * 1367 * 1373 * 1381 * 1399 *  1409 * 1423 * 1427 * 1429 * 1433 * 1439 * 1447 * 1451 * 1453 * 1459 *  1471 * 1481 * 1483 * 1487 * 1489 * 1493 * 1499 * 1511 * 1523 * 1531 *  1543 * 1549 * 1553 * 1559 * 1567 * 1571 * 1579 * 1583 * 1597 * 1601 *  1607 * 1609 * 1613 * 1619 * 1621 * 1627 * 1637 * 1657 * 1663 * 1667 *  1669 * 1693 * 1697 * 1699 * 1709 * 1721 * 1723 * 1733 * 1741 * 1747 *  1753 * 1759 * 1777 * 1783 * 1787 * 1789 * 1801 * 1811 * 1823 * 1831 *  1847 * 1861 * 1867 * 1871 * 1873 * 1877 * 1879 * 1889 * 1901 * 1907 *  1913 * 1931 * 1933 * 1949 * 1951 * 1973 * 1979 * 1987 * 1993 * 1997 *  1999 * 2003 * 2011 * 2017 * 2027 * 2029 * 2039 * 2053 * 2063 * 2069 *  2081 * 2083 * 2087 * 2089 * 2099 * 2111 * 2113 * 2129 * 2131 * 2137 *  2141 * 2143 * 2153 * 2161 * 2179 * 2203 * 2207 * 2213 * 2221 * 2237 *  2239 * 2243 * 2251 * 2267 * 2269 * 2273 * 2281 * 2287 * 2293 * 2297 *  2309 * 2311 * 2333 * 2339 * 2341 * 2347 * 2351 * 2357 * 2371 * 2377 *  2381 * 2383 * 2389 * 2393 * 2399 * 2411 * 2417 * 2423 * 2437 * 2441 *  2447 * 2459 * 2467 * 2473 * 2477 * 2503 * 2521 * 2531 * 2539 * 2543 *  2549 * 2551 * 2557 * 2579 * 2591 * 2593 * 2609 * 2617 * 2621 * 2633 *  2647 * 2657 * 2659 * 2663 * 2671 * 2677 * 2683 * 2687 * 2689 * 2693 *  2699 * 2707 * 2711 * 2713 * 2719 * 2729 * 2731 * 2741 * 2749 * 2753 *  2767 * 2777 * 2789 * 2791 * 2797 * 2801 * 2803 * 2819 * 2833 * 2837 *  2843 * 2851 * 2857 * 2861 * 2887 * 2897 * 2903 * 2909 * 2917 * 2927 *  2939 * 2953 * 2957 * 2963 * 2969 * 2971 * 2999 * 3001 * 3011 * 3019 *  3023 * 3037 * 3041 * 3049 * 3061 * 3067 * 3079 * 3083 * 3089 * 3109 *  3119 * 3121 * 3137 * 3163 * 3167 * 3169 * 3187 * 3191 * 3203 * 3209 *  3217 * 3221 * 3229 * 3251 * 3253 * 3257 * 3259 * 3271 * 3299 * 3301 *  3307 * 3313 * 3319 * 3323 * 3329 * 3331 * 3343 * 3347 * 3359 * 3361 *  3371 * 3373 * 3389 * 3391 * 3407 * 3413 * 3433 * 3449 * 3457 * 3461 *  3463 * 3467 * 3469 * 3491 * 3499 * 3511 * 3517 * 3527 * 3529 * 3533 *  3539 * 3541 * 3547 * 3557 * 3559 * 3571 * 3581 * 3583 * 3593 * 3607 *  3613 * 3617 * 3623 * 3631 * 3643 * 3659 * 3671 * 3673 * 3677 * 3691 *  3697 * 3701 * 3709 * 3719 * 3727 * 3733 * 3739 * 3761 * 3767 * 3769 *  3779 * 3793 * 3797 * 3803 * 3821 * 3823 * 3833 * 3847 * 3851 * 3853 *  3863 * 3877 * 3881 * 3889 * 3911 * 3919 * 3923 * 3929 * 3931 * 3943 *  3947 * 3967 * 3989 * 4001 * 4003 * 4007 * 4013 * 4019 * 4021 * 4027 *  4049 * 4051 * 4057 * 4073 * 4079 * 4091 * 4093 * 4099 * 4111 * 4127 *  4129 * 4133 * 4139 * 4153 * 4157 * 4159 * 4177 * 4201 * 4211 * 4217 *  4219 * 4229 * 4231 * 4241 * 4253 * 4259 * 4261 * 4271 * 4273 * 4283 *  4289 * 4297 * 4327 * 4337 * 4339 * 4349 * 4357 * 4363 * 4373 * 4391 *  4397 * 4409 * 4423 * 4441 * 4447 * 4451 * 4457 * 4463 * 4481 * 4483 *  4493 * 4513 * 4517 * 4519 * 4523 * 4547 * 4549 * 4561 * 4583 * 4591 *  4597 * 4603 * 4621 * 4637 * 4639 * 4643 * 4649 * 4651 * 4657 * 4663 *  4673 * 4679 * 4691 * 4703 * 4721 * 4723 * 4729 * 4733 * 4751 * 4759 *  4783 * 4787 * 4789 * 4793 * 4799 * 4801 * 4813 * 4817 * 4831 * 4861 *  4871 * 4877 * 4889 * 4903 * 4909 * 4919 * 4931 * 4933 * 4937 * 4943 *  4951 * 4967 * 4973 * 4987 * 4993 * 4999 * 5003 * 5011 * 5021 * 5023 *  5039 * 5051 * 5059 * 5077 * 5081 * 5087 * 5099 * 5101 * 5107 * 5113 *  5119 * 5147 * 5153 * 5167 * 5171 * 5179 * 5189 * 5197 * 5209 * 5231 *  5233 * 5237 * 5261 * 5273 * 5279 * 5281 * 5297 * 5303 * 5323 * 5333 *  5351 * 5381 * 5387 * 5393 * 5399 * 5407 * 5413 * 5419 * 5431 * 5437 *  5441 * 5443 * 5449 * 5471 * 5477 * 5479 * 5483 * 5501 * 5503 * 5507 *  5519 * 5521 * 5527 * 5531 * 5557 * 5563 * 5569 * 5573 * 5581 * 5623 *  5639 * 5647 * 5651 * 5653 * 5657 * 5659 * 5669 * 5683 * 5689 * 5701 *  5711 * 5717 * 5737 * 5741 * 5749 * 5779 * 5783 * 5791 * 5801 * 5807 *  5813 * 5821 * 5827 * 5839 * 5849 * 5851 * 5857 * 5867 * 5869 * 5879 *  5897 * 5903 * 5923 * 5927 * 5939 * 5953 * 5981 * 5987 * 6007 * 6011 *  6029 * 6037 * 6043 * 6047 * 6053 * 6067 * 6079 * 6089 * 6091 * 6101 *  6113 * 6121 * 6131 * 6133 * 6151 * 6163 * 6173 * 6197 * 6199 * 6203 *  6211 * 6217 * 6221 * 6229 * 6257 * 6263 * 6269 * 6271 * 6287 * 6299 *  6311 * 6317 * 6323 * 6329 * 6337 * 6343 * 6353 * 6361 * 6367 * 6373 *  6379 * 6397 * 6421 * 6427 * 6449 * 6469 * 6473 * 6481 * 6491 * 6521 *  6551 * 6553 * 6563 * 6569 * 6571 * 6581 * 6599 * 6607 * 6619 * 6637 *  6653 * 6659 * 6661 * 6673 * 6679 * 6689 * 6691 * 6709 * 6719 * 6733 *  6737 * 6761 * 6763 * 6779 * 6781 * 6793 * 6803 * 6823 * 6829 * 6833 *  6841 * 6863 * 6869 * 6871 * 6883 * 6899 * 6911 * 6947 * 6949 * 6959 *  6961 * 6967 * 6971 * 6977 * 6983 * 6991 * 6997 * 7001 * 7013 * 7019 *  7027 * 7039 * 7043 * 7057 * 7079 * 7103 * 7109 * 7121 * 7127 * 7129 *  7151 * 7159 * 7177 * 7187 * 7193 * 7207 * 7211 * 7213 * 7219 * 7229 *  7243 * 7247 * 7253 * 7283 * 7297 * 7307 * 7309 * 7321 * 7331 * 7333 *  7349 * 7351 * 7369 * 7393 * 7411 * 7433 * 7451 * 7457 * 7477 * 7481 *  7487 * 7489 * 7499 * 7507 * 7517 * 7523 * 7529 * 7537 * 7541 * 7547 *  7559 * 7561 * 7573 * 7577 * 7583 * 7591 * 7603 * 7607 * 7621 * 7639 *  7643 * 7649 * 7669 * 7673 * 7681 * 7687 * 7691 * 7699 * 7703 * 7717 *  7723 * 7727 * 7741 * 7753 * 7759 * 7793 * 7817 * 7823 * 7829 * 7841 *  7853 * 7867 * 7873 * 7877 * 7879 * 7883 * 7901 * 7927 * 7933 * 7937 *  7963 * 7993 * 8009 * 8011 * 8053 * 8069 * 8081 * 8087 * 8089 * 8093 *  8101 * 8111 * 8117 * 8123 * 8147 * 8161 * 8167 * 8171 * 8179 * 8191 *  8219 * 8231 * 8237 * 8243 * 8263 * 8269 * 8273 * 8287 * 8291 * 8297 *  8317 * 8329 * 8353 * 8363 * 8369 * 8377 * 8387 * 8389 * 8419 * 8431 *  8443 * 8447 * 8461 * 8467 * 8501 * 8513 * 8521 * 8543 * 8573 * 8597 *  8599 * 8609 * 8623 * 8627 * 8629 * 8641 * 8663 * 8669 * 8677 * 8681 *  8693 * 8699 * 8707 * 8713 * 8719 * 8731 * 8741 * 8761 * 8779 * 8783 *  8807 * 8819 * 8821 * 8837 * 8849 * 8863 * 8867 * 8923 * 8929 * 8933 *  8951 * 8969 * 9001 * 9007 * 9011 * 9013 * 9029 * 9041 * 9043 * 9049 *  9059 * 9091 * 9103 * 9109 * 9133 * 9151 * 9157 * 9161 * 9173 * 9181 *  9203 * 9209 * 9221 * 9239 * 9241 * 9281 * 9283 * 9293 * 9311 * 9319 *  9323 * 9337 * 9343 * 9349 * 9371 * 9391 * 9397 * 9403 * 9413 * 9419 *  9431 * 9433 * 9439 * 9473 * 9479 * 9511 * 9521 * 9539 * 9547 * 9551 *  9587 * 9601 * 9619 * 9629 * 9643 * 9677 * 9689 * 9719 * 9733 * 9743 *  9749 * 9767 * 9781 * 9787 * 9791 * 9803 * 9817 * 9839 * 9851 * 9857 *  9871 * 9883 * 9887 * 9923 * 9929 * 9941 * 9949 * 9967 * 9973 * 10007 *  10009 * 10039 * 10061 * 10067 * 10069 * 10079 * 10091 * 10093 * 10099 *  10103 * 10111 * 10133 * 10141 * 10151 * 10159 * 10163 * 10169 * 10177 *  10211 * 10223 * 10243 * 10253 * 10271 * 10301 * 10303 * 10313 * 10331 *  10333 * 10337 * 10357 * 10391 * 10399 * 10433 * 10459 * 10463 * 10477 *  10487 * 10499 * 10513 * 10529 * 10559 * 10589 * 10597 * 10601 * 10607 *  10613 * 10627 * 10639 * 10651 * 10663 * 10667 * 10687 * 10691 * 10709 *  10723 * 10729 * 10733 * 10753 * 10781 * 10789 * 10799 * 10837 * 10847 *  10859 * 10867 * 10883 * 10889 * 10891 * 10937 * 10939 * 10949 * 10957 *  10973 * 10987 * 11003 * 11057 * 11059 * 11071 * 11083 * 11087 * 11093 *  11113 * 11117 * 11119 * 11131 * 11149 * 11159 * 11161 * 11171 * 11173 *  11197 * 11257 * 11261 * 11273 * 11279 * 11311 * 11317 * 11321 * 11329 *  11353 * 11369 * 11393 * 11399 * 11423 * 11437 * 11443 * 11467 * 11471 *  11489 * 11519 * 11549 * 11579 * 11587 * 11593 * 11597 * 11621 * 11633 *  11657 * 11677 * 11681 * 11689 * 11699 * 11717 * 11719 * 11731 * 11743 *  11779 * 11783 * 11789 * 11801 * 11813 * 11821 * 11831 * 11833 * 11863 *  11903 * 11909 * 11927 * 11933 * 11939 * 11953 * 11959 * 11981 * 11987 *  12011 * 12037 * 12041 * 12043 * 12073 * 12101 * 12109 * 12113 * 12119 *  12143 * 12149 * 12157 * 12161 * 12163 * 12197 * 12203 * 12211 * 12227 *  12263 * 12289 * 12301 * 12323 * 12329 * 12347 * 12373 * 12379 * 12391 *  12409 * 12413 * 12421 * 12433 * 12451 * 12491 * 12497 * 12511 * 12527 *  12539 * 12547 * 12583 * 12601 * 12613 * 12637 * 12641 * 12653 * 12671 *  12689 * 12697 * 12703 * 12739 * 12743 * 12757 * 12781 * 12791 * 12809 *  12821 * 12823 * 12829 * 12841 * 12853 * 12889 * 12893 * 12899 * 12911 *  12919 * 12923 * 12959 * 12967 * 12983 * 13001 * 13003 * 13007 * 13009 *  13033 * 13037 * 13043 * 13049 * 13063 * 13099 * 13103 * 13109 * 13121 *  13147 * 13151 * 13159 * 13171 * 13177 * 13187 * 13217 * 13229 * 13249 *  13291 * 13297 * 13313 * 13327 * 13339 * 13367 * 13381 * 13397 * 13399 *  13417 * 13421 * 13441 * 13451 * 13463 * 13469 * 13513 * 13537 * 13553 *  13567 * 13577 * 13591 * 13597 * 13613 * 13619 * 13649 * 13669 * 13679 *  13681 * 13693 * 13721 * 13723 * 13729 * 13763 * 13789 * 13799 * 13807 *  13829 * 13831 * 13859 * 13873 * 13877 * 13879 * 13883 * 13901 * 13903 *  13913 * 13967 * 13999 * 14009 * 14011 * 14057 * 14081 * 14083 * 14143 *  14153 * 14159 * 14173 * 14177 * 14197 * 14207 * 14221 * 14243 * 14249 *  14281 * 14303 * 14321 * 14323 * 14341 * 14407 * 14423 * 14431 * 14437 *  14461 * 14479 * 14489 * 14503 * 14519 * 14533 * 14551 * 14557 * 14561 *  14593 * 14621 * 14627 * 14629 * 14669 * 14683 * 14699 * 14731 * 14741 *  14767 * 14779 * 14783 * 14813 * 14831 * 14843 * 14851 * 14869 * 14879 *  14891 * 14923 * 14929 * 14939 * 14983 * 15013 * 15061 * 15083 * 15101 *  15139 * 15149 * 15161 * 15173 * 15187 * 15233 * 15241 * 15259 * 15269 *  15277 * 15287 * 15289 * 15307 * 15319 * 15329 * 15349 * 15359 * 15361 *  15373 * 15383 * 15391 * 15401 * 15427 * 15461 * 15473 * 15527 * 15569 *  15601 * 15607 * 15629 * 15643 * 15649 * 15667 * 15679 * 15683 * 15727 *  15731 * 15733 * 15739 * 15773 * 15791 * 15803 * 15823 * 15859 * 15877 *  15881 * 15889 * 15907 * 15919 * 15923 * 15959 * 15971 * 15991 * 16001 *  16033 * 16073 * 16091 * 16097 * 16139 * 16141 * 16183 * 16189 * 16249 *  16253 * 16267 * 16273 * 16301 * 16333 * 16361 * 16369 * 16381 * 16421 *  16427 * 16447 * 16451 * 16453 * 16477 * 16493 * 16553 * 16561 * 16603 *  16619 * 16649 * 16651 * 16657 * 16673 * 16691 * 16693 * 16699 * 16703 *  16729 * 16741 * 16747 * 16811 * 16823 * 16831 * 16843 * 16883 * 16931 *  16943 * 16981 * 17011 * 17021 * 17033 * 17077 * 17123 * 17137 * 17159 *  17167 * 17183 * 17203 * 17291 * 17299 * 17317 * 17321 * 17333 * 17351 *  17359 * 17389 * 17401 * 17417 * 17419 * 17431 * 17443 * 17449 * 17483 *  17497 * 17509 * 17519 * 17539 * 17551 * 17569 * 17573 * 17579 * 17581 *  17599 * 17627 * 17659 * 17669 * 17681 * 17713 * 17891 * 17903 * 17909 *  17911 * 17939 * 17959 * 17977 * 17981 * 18013 * 18041 * 18043 * 18049 *  18119 * 18121 * 18127 * 18131 * 18143 * 18149 * 18191 * 18199 * 18211 *  18223 * 18229 * 18233 * 18269 * 18289 * 18313 * 18329 * 18341 * 18367 *  18397 * 18401 * 18413 * 18427 * 18433 * 18443 * 18451 * 18457 * 18461 *  18503 * 18517 * 18523 * 18553 * 18583 * 18587 * 18617 * 18679 * 18731 *  18757 * 18773 * 18787 * 18793 * 18803 * 18869 * 18899 * 18917 * 18919 *  19001 * 19009 * 19069 * 19081 * 19087 * 19141 * 19157 * 19163 * 19183 *  19219 * 19259 * 19301 * 19319 * 19373 * 19379 * 19381 * 19387 * 19391 *  19421 * 19423 * 19427 * 19429 * 19433 * 19441 * 19447 * 19477 * 19489 *  19501 * 19507 * 19531 * 19553 * 19559 * 19583 * 19597 * 19661 * 19687 *  19699 * 19709 * 19751 * 19853 * 19889 * 19913 * 19919 * 19949 * 19991 *  19993 * 20023 * 20063 * 20071 * 20089 * 20101 * 20129 * 20143 * 20149 *  20201 * 20219 * 20249 * 20359 * 20369 * 20393 * 20399 * 20411 * 20441 *  20521 * 20551 * 20639 * 20641 * 20663 * 20681 * 20693 * 20719 * 20753 *  20759 * 20771 * 20773 * 20789 * 20807 * 20879 * 20887 * 20899 * 20921 *  20939 * 20947 * 20963 * 20981 * 20983 * 21001 * 21011 * 21013 * 21023 *  21059 * 21067 * 21089 * 21149 * 21179 * 21221 * 21283 * 21323 * 21341 *  21379 * 21383 * 21401 * 21419 * 21499 * 21521 * 21523 * 21529 * 21559 *  21577 * 21601 * 21611 * 21647 * 21661 * 21673 * 21701 * 21713 * 21737 *  21767 * 21799 * 21803 * 21871 * 21881 * 21893 * 21929 * 22003 * 22013 *  22027 * 22051 * 22067 * 22079 * 22091 * 22093 * 22111 * 22133 * 22153 *  22189 * 22259 * 22271 * 22277 * 22279 * 22303 * 22343 * 22349 * 22369 *  22391 * 22409 * 22433 * 22469 * 22481 * 22511 * 22541 * 22543 * 22613 *  22619 * 22621 * 22637 * 22643 * 22651 * 22751 * 22777 * 22817 * 22853 *  22921 * 22937 * 22943 * 22963 * 22993 * 23003 * 23011 * 23027 * 23029 *  23099 * 23143 * 23189 * 23203 * 23209 * 23279 * 23321 * 23339 * 23357 *  23459 * 23509 * 23531 * 23539 * 23549 * 23561 * 23581 * 23593 * 23603 *  23609 * 23663 * 23669 * 23671 * 23743 * 23753 * 23789 * 23801 * 23813 *  23819 * 23873 * 23909 * 23917 * 23957 * 23981 * 24001 * 24023 * 24029 *  24043 * 24049 * 24061 * 24071 * 24077 * 24083 * 24097 * 24107 * 24109 *  24121 * 24151 * 24203 * 24223 * 24239 * 24251 * 24281 * 24373 * 24379 *  24391 * 24439 * 24469 * 24473 * 24481 * 24499 * 24509 * 24533 * 24547 *  24551 * 24611 * 24659 * 24683 * 24697 * 24709 * 24733 * 24749 * 24763 *  24799 * 24821 * 24841 * 24851 * 24859 * 24877 * 24889 * 24917 * 24919 *  24967 * 24971 * 24979 * 25033 * 25057 * 25073 * 25087 * 25111 * 25171 *  25183 * 25219 * 25229 * 25301 * 25309 * 25411 * 25457 * 25469 * 25523 *  25537 * 25579 * 25601 * 25603 * 25639 * 25643 * 25673 * 25703 * 25759 *  25763 * 25799 * 25841 * 25913 * 25919 * 25931 * 25969 * 25997 * 25999 *  26029 * 26111 * 26119 * 26189 * 26251 * 26261 * 26293 * 26317 * 26393 *  26423 * 26459 * 26479 * 26489 * 26501 * 26513 * 26573 * 26591 * 26633 *  26641 * 26711 * 26759 * 26801 * 26813 * 26833 * 26849 * 26861 * 26879 *  26891 * 26893 * 26951 * 26953 * 26993 * 27031 * 27043 * 27091 * 27107 *  27143 * 27239 * 27241 * 27281 * 27361 * 27397 * 27449 * 27479 * 27481 *  27527 * 27539 * 27551 * 27581 * 27583 * 27743 * 27749 * 27773 * 27779 *  27793 * 27799 * 27809 * 27893 * 27943 * 27947 * 27983 * 28001 * 28019 *  28031 * 28051 * 28123 * 28163 * 28277 * 28349 * 28403 * 28411 * 28439 *  28463 * 28499 * 28537 * 28549 * 28559 * 28571 * 28573 * 28643 * 28723 *  28751 * 28753 * 28759 * 28793 * 28807 * 28837 * 28843 * 28859 * 28871 *  28901 * 28933 * 28949 * 28961 * 29017 * 29021 * 29033 * 29059 * 29063 *  29123 * 29137 * 29167 * 29201 * 29209 * 29269 * 29339 * 29363 * 29401 *  29429 * 29437 * 29443 * 29453 * 29483 * 29531 * 29573 * 29599 * 29629 *  29683 * 29723 * 29741 * 29759 * 29819 * 29851 * 29863 * 29867 * 29873 *  29881 * 29947 * 30029 * 30071 * 30113 * 30269 * 30313 * 30319 * 30323 *  30389 * 30431 * 30449 * 30577 * 30631 * 30649 * 30671 * 30689 * 30773 *  30803 * 30809 * 30817 * 30851 * 30937 * 30983 * 31019 * 31033 * 31069 *  31079 * 31121 * 31151 * 31153 * 31159 * 31193 * 31231 * 31249 * 31253 *  31271 * 31277 * 31319 * 31327 * 31469 * 31513 * 31541 * 31583 * 31649 *  31663 * 31699 * 31721 * 31727 * 31741 * 31771 * 31793 * 31799 * 31859 *  31963 * 31981 * 32003 * 32009 * 32027 * 32063 * 32141 * 32159 * 32309 *  32353 * 32381 * 32411 * 32479 * 32531 * 32561 * 32569 * 32573 * 32633 *  32647 * 32693 * 32719 * 32771 * 32789 * 32803 * 32843 * 32933 * 32941 *  33023 * 33029 * 33053 * 33113 * 33119 * 33179 * 33191 * 33203 * 33223 *  33349 * 33353 * 33413 * 33461 * 33479 * 33521 * 33569 * 33623 * 33713 *  33749 * 33773 * 33809 * 33829 * 33857 * 33941 * 34019 * 34213 * 34253 *  34283 * 34319 * 34421 * 34439 * 34487 * 34537 * 34591 * 34613 * 34631 *  34673 * 34849 * 34883 * 34913 * 34949 * 35069 * 35081 * 35089 * 35099 *  35111 * 35117 * 35281 * 35291 * 35353 * 35437 * 35533 * 35537 * 35573 *  35617 * 35831 * 35923 * 35933 * 35993 * 35999 * 36007 * 36083 * 36109 *  36151 * 36191 * 36229 * 36251 * 36299 * 36353 * 36383 * 36473 * 36479 *  36563 * 36629 * 36749 * 36761 * 36791 * 36821 * 36923 * 36929 * 36979 *  37013 * 37039 * 37049 * 37057 * 37087 * 37139 * 37181 * 37253 * 37277 *  37309 * 37313 * 37321 * 37337 * 37379 * 37409 * 37423 * 37537 * 37549 *  37619 * 37699 * 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98621 * 98639 * 98669 * 98711 *  98849 * 98963 * 98981 * 99023 * 99041 * 99089 * 99173 * 99181 * 99251 *  99289 * 99409 * 99439 * 99551 * 99559 * 99623 * 99689 * 99761 * 99839
The abundance per 100,000 does not change from the previous exponent, but the abundance per 1,000,000 improves. This is definitely due to the way I build the exponent ...

mono patf.exe -v 3 "k" 100000
Then I tested the abundance of the d given by the program.
Result : abundance = 0.806, The same as for the former exponent j !
I also tried this entry :
mono patf.exe -v 3 "k" 1000000
Then I tested the abundance of the d given by the program.
Result : abundance = 0.898, to compare with the former abundance for the former exponent : abundance (with exponent j) = 0.877

The computer refuses to process data with entries > 10^6.
Happy (or anyone else), if you want to try, and above all, if you dare ...
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Old 2021-04-13, 07:43   #1080
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OK, I'll start it when I wake up Tuesday. It's too late in the night tonight to start a full run, but I'll do a few partials beforehand to gauge viability.

Edit: The abundance is 0.953977 at 1e7 and 0.991091 at 1e8, so I think this exponent is a winner! I'll confirm tomorrow.

Last fiddled with by Happy5214 on 2021-04-13 at 08:21
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Old 2021-04-13, 16:31   #1081
henryzz
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Has anyone considered whether SNFS polynomials exist for s((x*y)^n)?
s(38^100)=36*38^100-2^101-19^101 for example. I can't help thinking there is SNFS polynomial for this but I can't see it.
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Old 2021-04-13, 21:51   #1082
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Quote:
Originally Posted by garambois View Post
Happy (or anyone else), if you want to try, and above all, if you dare ...
Quote:
Originally Posted by Happy5214 View Post
OK, I'll start it when I wake up Tuesday. It's too late in the night tonight to start a full run, but I'll do a few partials beforehand to gauge viability.

Edit: The abundance is 0.953977 at 1e7 and 0.991091 at 1e8, so I think this exponent is a winner! I'll confirm tomorrow.
I ran it to 2.5e8, and that's all it needed.

Code:
$ time ./powerTrialFactoring 3 -x k.txt -l 250000000 -t 8 > output.txt  

real    51m17.165s
user    316m13.391s
sys     0m0.268s

$ grep -F "abundant" output.txt
Index 1 of 3^364[... omitted ...]125 is abundant! (1.00189)
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Old 2021-04-14, 07:04   #1083
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WAOUHHHHH !
This is a notable computational feat !
Congratulations Happy !
And thank you very much !



One thing is certain : it is that k does not have the shape I expected at all. I am very amazed that in its decompostition into prime numbers, the highest exponent is 8 (for 3^8) and that there are so few primes that are not unique.

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Old 2021-04-18, 00:20   #1084
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Terminates:
62^76
62^78
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Old 2021-04-18, 08:40   #1085
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Many thanks RichD !
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Old 2021-04-18, 09:43   #1086
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I added the conjecture (140) to the page of my website that summarizes all the conjectures.

Please, could someone add the note 3 visible on this page of my website to the conjectures (134) and (135), in the post #921.
Here is the note 3 to add to post #921 to conjectures (134) and (135) with the link to post #1074 of conjecture (140) :

Note 3 : This conjecture is completed and replaced by conjecture (140).

Thank you very much !
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Old 2021-04-18, 13:25   #1087
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Quote:
Originally Posted by garambois View Post
. . .
Please, could someone add the note 3 visible on this page of my website to the conjectures (134) and (135), in the post #921.
. . .
Thank you very much !
Done! Let me know if something is incorrect.
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Old 2021-04-18, 14:06   #1088
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Many thanks Edwin !
Perfect !
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Old 2021-04-25, 08:12   #1089
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OK, page updated.
Many thanks to all for your help !

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