tag:blogger.com,1999:blog-2217022227008948602.post145745035190640270..comments2019-03-21T19:56:19.431-07:00Comments on The Puzzle Page: How Old is she Now?Unknownnoreply@blogger.comBlogger4125tag:blogger.com,1999:blog-2217022227008948602.post-10631949377270435672008-06-20T13:41:00.000-07:002008-06-20T13:41:00.000-07:00There are 3, maybe 4, possible solutions to this p...There are 3, maybe 4, possible solutions to this problem. To find all the possible solutions first find all powers of primes that are less than a reasonable age for a human (roughly 120 years), then compare that list with a list of primes in the same range.<BR/><BR/>Powers of primes are:<BR/>2^2 = 4<BR/>2^3 = 8<BR/>3^2 = 9<BR/>2^4 = 16<BR/>5^2 = 25<BR/>3^3 = 27<BR/>2^5 = 32<BR/>7^2 = 49<BR/>2^6 = 64<BR/>11^2 = 121<BR/>2^7 = 128<BR/><BR/>Compare these values with the list of primes and eliminate all powers of primes that are not 1 larger than a prime. This leaves only these values:<BR/>4 (3 is prime)<BR/>8 (7 is prime)<BR/>32 (31 is prime)<BR/>128 (127 is prime)<BR/><BR/>Add 8 to any of these powers of prime values to find the age that Karen COULD be. Joel found '12', and anonymous provided '16'. Karen could also be 40, and as a stretch, Karen COULD be 136 but that's not likely since the oldest verified age of any human has been "only" 122.Erikhttps://www.blogger.com/profile/14514993727423832898noreply@blogger.comtag:blogger.com,1999:blog-2217022227008948602.post-18041914778383907342008-05-09T14:31:00.000-07:002008-05-09T14:31:00.000-07:001616-9=7(prime)16-8=8 (2^3)16<BR/>16-9=7(prime)<BR/>16-8=8 (2^3)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2217022227008948602.post-21216513445808478912008-04-25T08:18:00.000-07:002008-04-25T08:18:00.000-07:00I started getting into the hundreds... realized Ka...I started getting into the hundreds... realized Karen was probably not that old... then figured out what Joel said. Yeah, two and three are both prime -- duh.Ginkgo100http://mypuzzlefix.blogspot.comnoreply@blogger.comtag:blogger.com,1999:blog-2217022227008948602.post-71831901430345797862008-04-06T09:22:00.000-07:002008-04-06T09:22:00.000-07:00Karen is 129 years ago was 3 (PRIME)8 years ago wa...Karen is 12<BR/><BR/>9 years ago was 3 (PRIME)<BR/><BR/>8 years ago was 4 (square of 2 (PRIME))<BR/><BR/>Last year was really odd (11 is odd - and also PRIME)Joelnoreply@blogger.com