Re: [math-fun] proportion of bernoulli numbers that are = 1/6.
12 Feb
2007
12 Feb
'07
9:32 a.m.
Simon said: Subject : The proportion of Bernoulli numbers that are = to 1/6. I made a calculation for the numbers that are = 1/6, I went up to B(5285000). Me: did you mean those that have DENOMINATOR 6 ? If so, see A051222 in the OEIS, which has references to the work of H. Cohen and G. Tenenbaum. Neil
13 Feb
13 Feb
1:45 a.m.
New subject: [math-fun] proportion of bernoulli numbers which den. is 6.
Yes, thank you for the ref. this is what I meant incorrectly : the proportion of Bernoulli numbers with denominators = 6 is (as Cohen et al. pointed out), is closer to 1/7. Actually, at B(9083002) the proportion is .151848915149418661363281...and still decreasing very slowly, which is 1/6.58, still don't see if it tends to a simple constant. ... That new intel 1.81 teraflop chip will help those kind of questioning! simon plouffe
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