TooBoku Posted June 18, 2008 Share Posted June 18, 2008 This one is tougher... I believe each integer can be represented in a way so thati = p1^e1 * p2^e2* p3^e3... * pn^enwhere i is the given integer, p is a set of unique prime numbers, and e is the exponent.For example:1 = 2^02 = 2^13 = 3^14 = 2^25 = 5^16 = 2^1 * 3^17 = 7^18 = 2^39 = 3 ^ 2...96 = 2^5 * 3^1...160 = 2^5 * 5^1...115200 = 2^9 * 3^2 * 5^2Ready?Set! Go! Quote Link to comment Share on other sites More sharing options...
TooBoku Posted June 18, 2008 Author Share Posted June 18, 2008 10 = 2^1 * 5^111 = 11^112 = 2^2 * 3^113 = 13^114 = 2^1 * 7^115 = 3^1 * 5^116 = 2^417 = 17^118 = 2^1 * 3^219 = 19^120 = 2^2 * 5^121 = 3^1 * 7^122 = 2^1 * 11^123 = 23^124 = 2^3 * 3^125 = 5^226 = 2^1 * 13^127 = 3^328 = 2^2 * 7^129 = 29^130 = 2^1 * 3^1 * 5^1 Quote Link to comment Share on other sites More sharing options...
Dajana Posted June 18, 2008 Share Posted June 18, 2008 31 = 31^1 32 = 2^4 33 = 11^1* 3^1 34 = 17^1*2^1 This is too complicated for me Quote Link to comment Share on other sites More sharing options...
TooBoku Posted June 18, 2008 Author Share Posted June 18, 2008 You love it!!!35 = 5^1 * 7^136 = 2^2 * 3^237 = PRIME!38 = 2^1 * 9^139 = 3^1 * 13*140 = 2^3 * 5^1PS. 32 = 2^5 Quote Link to comment Share on other sites More sharing options...
TooBoku Posted June 18, 2008 Author Share Posted June 18, 2008 41 = PRIME!42 = 2^1 * 3^1 * 7^143 = PRIME!44 = 2^2 * 11^145 = 3^2 * 5^146 = 2^1 * 23^147 = PRIME!48 = 2^4 * 3^149 = 7^250 = 2^1 * 5^2 Quote Link to comment Share on other sites More sharing options...
TooBoku Posted June 18, 2008 Author Share Posted June 18, 2008 Keep up with me folks! 51 = 3^1 * 17^1 52 = 2^2 * 13^1 53 = PRIME! 54 = 2^1 * 3^3 55 = 5^1 * 11^1 56 = 2^3 * 7^1 57 = 3^1 * 19^1 58 = 2^1 * 29^1 59 = PRIME! 60 = 2^2 * 3^1 * 5^1 Quote Link to comment Share on other sites More sharing options...
TooBoku Posted June 20, 2008 Author Share Posted June 20, 2008 31 = 31^132 = 2^4 33 = 11^1* 3^1 34 = 17^1*2^1 This is too complicated for me No no no... this is just a nerdy way to do factor trees! 60 = 2 * 2 * 5 *3 since 2 * 2 = 2 ^2 and n^1 = n we can write it like this 60 = 2^2 * 3^1 * 5^1 also... since n^0 = 1 we can throw in more useless numbers to make ourselves look smarter 60 = 2^2 * 3^1 * 5^1 * 7^0 * 11^0 * 13^0 Quote Link to comment Share on other sites More sharing options...
memories Posted June 21, 2008 Share Posted June 21, 2008 61 = PRIME!62 = 2^1 * 31^163 = 3^2 * 7^164 = 2^2 * 2^1 * 2^2^265 = 13^1 * 5^166 = 3^1 * 11^1 * 2^167 = PRIME68 = 17^1 * 2^269 = 3^1 * 23^170 = 7^1 * 5^1 * 2^1 Quote Link to comment Share on other sites More sharing options...
memories Posted June 24, 2008 Share Posted June 24, 2008 71 = PRIME72 = 2^1 * 3^1 * 2^1 * 3^1 *2^173 = PRIME74 = 37^1 * 2^175 = 5^1 * 3^1 * 5^176 = 2^1 * 19^1 * 2^177 = 11^1 * 7^178 = 39^1 * 2^179 = PRIME80 = 2^1 * 2^2 * 2^1 * 5^1 Quote Link to comment Share on other sites More sharing options...
Dajana Posted June 24, 2008 Share Posted June 24, 2008 81=3^482=2^1*41^!83 - prime84= 2^2*3^1*7^!85=5^1*17^186=2^1*43^187=3^1*29^188=11^1*2^3 Quote Link to comment Share on other sites More sharing options...
memories Posted June 26, 2008 Share Posted June 26, 2008 89 = PRIME90 = 3^2 * 5^1 *2^191 = 7^1 * 13^192 = 23^1 * 2^293 = 3^1 * 31^194 = 2^1 * 47^195 = 5^1 * 19^196 = 4^2 * 2^1 * 3^197 = PRIME98 = 2^1 *49^1 Quote Link to comment Share on other sites More sharing options...
memories Posted July 6, 2008 Share Posted July 6, 2008 99 = 11^1 * 3^2100 = 5^2 * 2^2101 = Prime102 = 17^1 * 3^1 *2^1103 = Prime104 = 13^1 * 2^3105 = 5^1 * 7^1 * 3^1106 = 53^1 * 2^1107 = Prime Quote Link to comment Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.