OFFSET
1,1
COMMENTS
Somu et al. (2023) proved that infinitely many positive integers can be written as a sum of a Zumkeller number and a prime number and that infinitely many positive integers cannot be written as a sum of a Zumkeller number and a prime number.
LINKS
Yuejian Peng and K. P. S. Bhaskara Rao, On Zumkeller numbers, Journal of Number Theory, 133(4), 2013, 1135-1155.
Sai Teja Somu, Andrzej Kukla, and Duc Van Khanh Tran, Some results on Zumkeller numbers, arXiv:2310.14149 [math.NT], 2023.
CROSSREFS
KEYWORD
nonn
AUTHOR
Duc Van Khanh Tran, Dec 10 2023
STATUS
approved