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Revision History for A098990

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Showing entries 1-10 | older changes
A098990 Decimal expansion of Sum_{n>=1} prime(n)/(2^n).
(history; published version)
#36 by Alois P. Heinz at Thu Dec 03 20:56:57 EST 2020
STATUS

editing

approved

#35 by Alois P. Heinz at Thu Dec 03 20:56:53 EST 2020
LINKS

S. R. Finch, <a href="/A232927/a232927.pdf">Average least nonresidues</a>, December 4, 2013. [Cached copy, with permission of the author]

STATUS

approved

editing

#34 by Bruno Berselli at Thu Oct 29 04:37:44 EDT 2020
STATUS

proposed

approved

#33 by Amiram Eldar at Thu Oct 29 03:43:48 EDT 2020
STATUS

editing

proposed

#32 by Amiram Eldar at Thu Oct 29 03:20:51 EDT 2020
FORMULA

Equals lim_{n->oo} (1/n) ) * Sum_{k=1..n} A053760(k). - Amiram Eldar, Oct 29 2020

#31 by Amiram Eldar at Thu Oct 29 03:20:38 EDT 2020
FORMULA

Equals Sum_{i >= n>=1} prime(in)/2^in.

#30 by Amiram Eldar at Thu Oct 29 03:19:53 EDT 2020
NAME

Decimal expansion of Sum_{n>0>=1} prime(n)/(2^n).

FORMULA

Equals 2 plus the constant in A098882. [_. - _R. J. Mathar_, Sep 02 2008]

Equals lim_{n->oo} (1/n) Sum_{k=1..n} A053760(k). - Amiram Eldar, Oct 29 2020

CROSSREFS

Cf. A000040, A053760, A098882.

#29 by Amiram Eldar at Thu Oct 29 03:18:27 EDT 2020
LINKS

Peter J. Cho, and Henry H. Kim, <a href="httphttps://arxivdoi.org/abs/160110.030121093/imrn/rny074">The average of the smallest prime in a conjugacy class</a>, International Mathematics Research Notices, Vol. 2020, No. 6 (2020), pp. 1718-1747, <a href="http://arxiv.org/abs/1601.03012">arXiv preprint</a>, arXiv:1601.03012 [math.NT], 2016.

P. Paul Erdős, <a href="http://www.renyi.hu/~p_erdos/1961-23.pdf">Remarks on number theory. I.</a>, Mat. Lapok , Vol. 12 (1961) ), pp. 10-17; Math. Rev. 26 #2410.

P. Paul Pollack, <a href="httphttps://pollackdoi.ugaorg/10.edu1016/variationsj.jnt.2011.12.pdf015">The average least quadratic nonresidue modulo m and other variations on a theme of Erdős</a>, J. Number Theory, Vol. 132, No. 6 (2012), pp. 1185-1202. See also <, <a href="httpshttp://doipollack.org/10uga.1016edu/j.jnt.2011.12variations.015pdf">DOIalternative link</a>.

STATUS

approved

editing

#28 by Peter Luschny at Mon Aug 10 13:30:16 EDT 2020
STATUS

proposed

approved

#27 by Michel Marcus at Mon Aug 10 09:39:10 EDT 2020
STATUS

editing

proposed

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Last modified August 10 11:24 EDT 2024. Contains 375056 sequences. (Running on oeis4.)