[go: up one dir, main page]

login
Revision History for A332556 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Supertotient numbers: numbers k such that the set of numbers less than k and relatively prime to k can be partitioned into two disjoint subsets of equal sum.
(history; published version)
#19 by Alois P. Heinz at Mon Apr 03 06:22:30 EDT 2023
STATUS

proposed

approved

#18 by Michel Marcus at Mon Apr 03 05:28:38 EDT 2023
STATUS

editing

proposed

#17 by Michel Marcus at Mon Apr 03 05:28:36 EDT 2023
LINKS

Shahbaz Ali and Khalid Mahmood, <a href="https://www.ijmex.com/index.php/ijmex/article/view/975/434">New Numbers on Euler’s Totient Function with Applications</a>, Journal of Mathematical Extension, Vol. 14, No. 1, (2020), 61-83.

STATUS

approved

editing

#16 by Michel Marcus at Tue Apr 14 04:30:26 EDT 2020
STATUS

editing

approved

#15 by Michel Marcus at Tue Apr 14 04:30:23 EDT 2020
LINKS

Joshua Harrington, Tony W. H. Wong, <a href="https://doi.org/10.1016/j.disc.2019.111670">On super totient numbers and super totient labelings of graphs</a>, Discrete Mathematics Vol. 343, Iss. 2 , , February 2020, 111670.

STATUS

reviewed

editing

#14 by Joerg Arndt at Tue Apr 14 04:20:22 EDT 2020
STATUS

proposed

reviewed

#13 by Amiram Eldar at Tue Apr 14 04:14:37 EDT 2020
STATUS

editing

proposed

#12 by Amiram Eldar at Tue Apr 14 04:07:27 EDT 2020
NAME

Supertotient numbers: numbers k such that the set of numbers less than k and relatively prime to k can be partitioned into two disjoint subsets of equal sum.

COMMENTS

Complement The concept of A332555supertotient numbers was introduced by Mahmood and Ali (2017). - _Amiram Eldar_, Apr 14 2020

The concept of supertotient numbers was introduced by Mahmood and Ali (2017). These are numbers k such that the set of numbers less than k and relatively prime to k can be partitioned into two disjoint subsets of equal sum. - Amiram Eldar, Apr 14 2020

CROSSREFS

Complement of A332555.

Cf. A023896, A332555.

#11 by Amiram Eldar at Tue Apr 14 04:05:01 EDT 2020
COMMENTS

The concept of supertotient numbers was introduced by Mahmood and Ali (2017). These are numbers k such that the set of numbers less than k and relatively prime to k can be partitioned into two disjoint subsets of equal sum. - Amiram Eldar, Apr 14 2020

FORMULA

A023896(a(n)) == 0 (mod 2). - Amiram Eldar, Apr 14 2020

CROSSREFS
#10 by Amiram Eldar at Tue Apr 14 04:02:01 EDT 2020
MATHEMATICA

Select[Complement[Range[100], {1, 2, 4, 6, 18}], PrimeNu[#] > 1 || Mod[FactorInteger[#][[1, 1]], 4] != 3 &] (* Amiram Eldar, Apr 14 2020 *)