The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A289259 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A289259

Numbers k such that k^2 divides 2^k + 3^k.
(history; published version)

#52 by Peter Luschny at Sun Jun 02 05:28:10 EDT 2024

STATUS

reviewed

approved

#51 by Michel Marcus at Sun Jun 02 05:23:56 EDT 2024

STATUS

proposed

reviewed

#50 by Jon E. Schoenfield at Sun Jun 02 05:22:45 EDT 2024

STATUS

editing

proposed

#49 by Jon E. Schoenfield at Sun Jun 02 05:22:40 EDT 2024

LINKS

A. Velampalli et al, ., Mathematics StackExchange, <a href="https://math.stackexchange.com/questions/2340794/">Can you prove or disprove that there exist infinitely many integers n such that n^2 divides 2^n+3^n?</a>

STATUS

approved

editing

#48 by Jon E. Schoenfield at Thu Jul 22 23:04:43 EDT 2021

STATUS

editing

approved

#47 by Jon E. Schoenfield at Thu Jul 22 23:04:32 EDT 2021

NAME

Numbers n k such that nk^2 divides 2^n k + 3^nk.

COMMENTS

If n k is in the sequence and p is a prime factor, coprime to n, k, of 2^n k + 3^n, k, then nk*p is in the sequence.

For n k in the sequence, A220235(nk) = 0.

STATUS

approved

editing

#46 by Joerg Arndt at Tue Jan 16 02:49:29 EST 2018

STATUS

proposed

approved

#45 by Jon E. Schoenfield at Mon Jan 15 23:33:58 EST 2018

STATUS

editing

proposed

#44 by Jon E. Schoenfield at Mon Jan 15 23:33:55 EST 2018

EXTENSIONS

Confirmed a(6)-a(7) confirmed as next terms by Ray Chandler, Jul 02 2017

STATUS

approved

editing

#43 by Bruno Berselli at Fri Jul 14 02:47:08 EDT 2017

STATUS

proposed

approved