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 2021-01-22, 09:28 #25 Alfred     May 2013 Germany 3·29 Posts Largest 10^n - c with exactly five equally sized prime factors The solutions for some smaller n are as follows. Code:  n c p q r s t ====================================================================== 41 423906303 103948841 114710363 149953891 203482813 274847773 39 170690097 47957491 57090881 62357359 72085207 81253661 38 17945273 14859149 26589149 49138601 69387613 74232979 37 3737967 12265069 12316999 26021071 28269503 89987411 36 117140009 11983739 11997917 13976143 19075949 26087251 34 8846847 3448663 4321529 7868789 9038629 9434119 33 992687 1743487 3112091 5050681 5613833 6500093 32 6088257 1679213 1796947 2128781 2156351 7219523 31 5846847 1022701 1176899 1384829 2319659 2586377 29 13773393 303871 689957 709909 747157 899237 28 575559 231269 236563 445649 486821 842507 27 2939079 107837 133669 157349 468113 941861 26 13996773 104471 105361 150889 219017 274909 24 2962853 21961 65563 79309 92623 94547 23 3227433 10253 45673 46573 61729 74279 22 1218891 11807 15391 22189 35809 69257 21 3964821 10007 13537 16811 16921 25951 19 6735117 3041 4129 8581 9433 9839 18 343229 1583 2707 3691 6577 9613 17 416447 1327 1483 3001 3371 5023 16 1176773 1033 1229 1319 1447 4127 14 495633 181 751 859 859 997 13 50327 281 293 347 571 613 12 59901 131 131 211 277 997 11 423887 101 103 113 257 331 9 797979 41 61 67 67 89 8 4317 17 29 43 53 89 7 5411 11 17 19 29 97 Lines for the smallest n are written for the sake of completeness only. I was not able to compute the results for the larger n by an algorithm - firstly caused by the very low level of my programming knowledge but secondly maybe by the running time of a well written program? I'd like to get a rough estimation. PS: Continuing with 10^201-c Last fiddled with by Alfred on 2021-01-22 at 09:32