The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A054980

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A054980

Primitive e-perfect numbers: primitive elements of the e-perfect numbers (A054979).
(history; published version)

#50 by Joerg Arndt at Thu Mar 04 07:02:57 EST 2021

STATUS

reviewed

approved

#49 by Michel Marcus at Thu Mar 04 05:33:12 EST 2021

STATUS

proposed

reviewed

#48 by Amiram Eldar at Thu Mar 04 04:44:34 EST 2021

STATUS

editing

proposed

#47 by Amiram Eldar at Thu Mar 04 04:14:15 EST 2021

LINKS

Jan Munch Pedersen, <a href="http://amicable62.198.adsl248.dk44/aliquot/e1/e1.txt">Exponential Perfect Numbers</a>.

#46 by Amiram Eldar at Thu Mar 04 04:11:12 EST 2021

COMMENTS

The number of terms with a given number of distinct prime divisors is finite (Straus and Subbarao, 1974). - Amiram Eldar, Mar 04 2021

REFERENCES

R. Richard K. Guy, Unsolved Problems In in Number Theory, 3rd Edition, Springer, 2004, Section B17, pp. 110-111.

József Sándor, Dragoslav S. Mitrinovic and Borislav Crstici, Handbook of Number Theory I, Springer Science & Business Media, 2005, Chapter III, p. 116-117.

LINKS

E. G. Straus and M. V. Subbarao, <a href="https://doi.org/10.1215/S0012-7094-74-04152-0">On exponential divisors</a>, Duke Math. J., Vol. 41 (1974), pp. 465-471

#45 by Amiram Eldar at Thu Mar 04 04:08:38 EST 2021

LINKS

A. Andrew V. Lelechenko, <a href="httphttps://arxivdoi.org/abs/140510.75971007/s11253-017-1289-7">Exponential and infinitary divisors</a>, Ukrainian Mathematical Journal, Vol. 68, No. 8 (2017), pp. 1222-1237; <a href="http://arxiv.org/abs/1405.7597">arXiv preprint</a>, arXiv:1405.7597 ([math.NT], 2014).

Jan Munch Pedersen, <a href="http://amicable.adsl.dk/aliquot/e1/e1.txt">Exponential Perfect Numbers</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e-PerfectNumber.html">e-Perfect Number</a>.

STATUS

approved

editing

#44 by R. J. Mathar at Thu Oct 05 09:17:02 EDT 2017

STATUS

editing

approved

#43 by R. J. Mathar at Thu Oct 05 09:16:53 EDT 2017

CROSSREFS

Cf. A051377, A054979, A160134 (complement).

STATUS

approved

editing

#42 by R. J. Mathar at Thu Oct 05 07:03:49 EDT 2017

STATUS

proposed

approved

#41 by R. J. Mathar at Thu Oct 05 07:03:17 EDT 2017

STATUS

editing

proposed