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#13 by Alois P. Heinz at Thu Apr 06 06:23:22 EDT 2023
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#12 by Alois P. Heinz at Thu Apr 06 06:23:19 EDT 2023
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Denominator of sumSum_{i=1..n} 1/prime(i)^3.
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| FORMULA
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a(n) = denominator of sumSum_{i=1..n} 1/A000040(i)^3.
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| STATUS
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approved
editing
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#11 by Michel Marcus at Tue Jan 20 02:30:43 EST 2015
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#10 by Joerg Arndt at Tue Jan 20 02:27:21 EST 2015
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#9 by Michel Marcus at Tue Jan 20 01:48:29 EST 2015
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Discussion
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| Tue Jan 20
| 02:27
| Joerg Arndt: yes
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#8 by Michel Marcus at Tue Jan 20 01:40:25 EST 2015
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Discussion
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| Tue Jan 20
| 01:48
| Michel Marcus: ok ?
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#7 by Jon E. Schoenfield at Mon Jan 19 19:20:15 EST 2015
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#6 by Jon E. Schoenfield at Mon Jan 19 19:20:14 EST 2015
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Denominator of Sum[sum_{i=1..n] } 1/pprime(i)^3, p(i) = i-th prime.
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| COMMENTS
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Numerators = A115963. See also: A024451 Numerator of Sum 1/prime(i), i=1..n. A002110 Primorial [denominator of Numerator of Sum 1/prime(i), i=1..n]. A061015 Numerator of Sum_{i=1..n} 1/p(i)^2, p(i) = i-th prime.
Numerators are in A115963.
Also the primorials cubed. [From _. - _Reikku Kulon_, Sep 18 2008]
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| FORMULA
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a(n) = Denominatordenominator of Sum[sum_{i=1..n] } 1/A000040(i)^3.
a(n) = A002110(n)^3 [From _. - _Reikku Kulon_, Sep 18 2008]
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| MATHEMATICA
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a[n_]:=Product[Prime[i]^3, {i, 1, n}]; [From _}]; (* _Vladimir Joseph Stephan Orlovsky_, Dec 05 2008] *)
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| CROSSREFS
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Cf. A024451 (numerator of sum_{i=1..n} 1/prime(i)),
A002110 (primorial, also denominator of sum_{i=1..n} 1/prime(i)), A061015 (numerator of sum_{i=1..n} 1/prime(i)^2).
Cf. A002110, A061742, A100778 [From _. - _Reikku Kulon_, Sep 18 2008]
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| STATUS
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approved
editing
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#5 by Russ Cox at Sat Mar 31 12:38:11 EDT 2012
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| MATHEMATICA
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a[n_]:=Product[Prime[i]^3, {i, 1, n}]; [From _Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Dec 05 2008]
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Discussion
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| Sat Mar 31
| 12:38
| OEIS Server: https://oeis.org/edit/global/876
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#4 by Russ Cox at Sat Mar 31 10:28:52 EDT 2012
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| COMMENTS
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Also the primorials cubed. [From _Reikku Kulon (reikku(AT)gmail.com), _, Sep 18 2008]
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| FORMULA
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a(n) = A002110(n)^3 [From _Reikku Kulon (reikku(AT)gmail.com), _, Sep 18 2008]
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| CROSSREFS
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Cf. A002110, A061742, A100778 [From _Reikku Kulon (reikku(AT)gmail.com), _, Sep 18 2008]
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Discussion
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| Sat Mar 31
| 10:28
| OEIS Server: https://oeis.org/edit/global/573
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