On May 4, 6:36 am, cac <c...@inbox.com> wrote: A hint forproblem191: it's just a variaton of problem164. That's right. Can I humbly ask for a hint about problem 181? -- GADV

... n++); n*(n+1)/2 He said it took about 50ms on his Intel 2.52GHz. Sigh. My solution takes 1h45m. I think maybe PARI/GP knows things about factoring that I don't. A hint for problem 191: it's just a variaton of problem 164. I didn't have much problem with 191. 192 on the other hand... I whipped out some code, looks good, runs quick, gets the wrong answer... -- Charles

Someone posted this PARI/GP solution to problem 12: n=0; until(numdiv(n*(n+1)/2) 500, n++); n*(n+1)/2 He said it took about 50ms on his Intel 2.52GHz. A hint for problem 191: it's just a variaton of problem 164.

... that in the above paragraph you have the roots of the greatest achievements of physics in the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from physics simple rigor. Moving Dimensions Theory returns us to simpler times. It starts ...

... the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from... past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe ...

...in the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from ... the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from ...

... temperature over the whole infusion process (okay..maybe not so well defined, but still more or less constant, depending of course on the infusion time). Still, that is what allows systematic variaton of infusion temperatures. Joey, I, too, like your concept of design, yet I think a vast temperature drop over the infusion time, no matter what the initial temperature of the water ...

... is that in the above paragraph you have the roots of the greatest achievements of physics in the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from physics simple rigor. Moving Dimensions Theory returns us to simpler times. ...

... is that in the above paragraph you have the roots of the greatest achievements of physics in the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from physics simple rigor. Moving Dimensions Theory returns us to simpler times. It starts with...

... is that in the above paragraph you have the roots of the greatest achievements of physics in the past 100+ years, dwarfing String Theory, Loop Quantum Gravity, and thousands of their variatons, which deal in the abstruse, complicated, muddled, and mythological worlds which are safe from physics simple rigor. Moving Dimensions Theory returns us to simpler times. It starts with the simple...