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Riemannin hypoteesi

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Alkulukuteoreema<br />

Alkulukujen esiintymistiheys laskee mitä suurempia<br />

lukuja tarkastellaan.<br />

N π(N) N/π(N) log(N) N/Li(N)<br />

1, 000 168 5.9524 6.9078 5.6306<br />

1, 000, 000 78, 498 12.7392 13.8155 12.7182<br />

1, 000, 000, 000 50, 847, 534 19.6666 20.7233 19.6660<br />

1, 000, 000, 000, 000 37, 607, 912, 018 26.5901 27.6319 26.5901<br />

π(N) ∼ N<br />

log(N)<br />

∼ Li(N) =<br />

� N<br />

0<br />

dx<br />

log(x)<br />

– p.11/22

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