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Old 2021-01-22, 09:28   #25
Alfred
 
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May 2013
Germany

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Default 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
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