%I #27 Dec 06 2023 10:00:43
%S 9,27,65,114,127,202,278,323,554,554,554,704,704,704,704,704,751,751,
%T 825,825
%N Related to a bound for Giuga's conjecture.
%C In the original 1950 Giuga's article (see reference), the sequence is written as 8, 26, 65, 113, 126, 201. He also stated that the 9th term had to be greater than 360. In 1985, E. Bedocchi computed it as 554. - _Paolo P. Lava_, Jul 27 2012
%D G. Giuga, "Su una presumibile proprietà caratteristica dei numeri primi", Istituto Lombardo Scienze e Lettere, Rendiconti A, 83, 511-528 (1950).
%H E. Bedocchi, <a href="http://rivista.math.unipr.it/fulltext/1985-11/1985-11-229.pdf">Nota ad una congettura sui numeri primi</a>, Rivista Matematica Università Parma, 11:229-236, 1985.
%H D. Borwein, J. M. Borwein, P. B. Borwein, and R. Girgensohn, <a href="https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=f5e04c5df2fb77448d5ad1b53bf814ed0532e59e">Giuga's Conjecture on Primality</a>, Amer. Math. Monthly 103, No. 1, 40-50 (1996).
%H J. M. Borwein and E. Wong, <a href="http://books.google.com/books?id=EafywmOLrTkC&pg=PA13">A Survey of Results Relating to Giuga's Conjecture on Primality</a>. Vinet, Luc (ed.): Advances in Mathematical Sciences: CRM's 25 Years. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 11, 13-27 (1997). (<a href="http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.5509">alternate link</a>)
%H R. Mestrovic, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Mestrovic/mes4.html">On a Congruence Modulo n^3 Involving Two Consecutive Sums of Powers</a>, Journal of Integer Sequences, Vol. 17 (2014), 14.8.4.
%Y Cf. A007850.
%K nonn,more
%O 0,1
%A _N. J. A. Sloane_
|