OFFSET
1,1
COMMENTS
Conjecture: The sequence is the complement of 1, 2, 4, 351 in A000027 (cf. Sun, 2013, Conjecture 2.6. (i)).
REFERENCES
Zhi-Wei Sun, Conjectures involving arithmetical sequences, in: Number Theory: Arithmetic in Shangri-La (eds., S. Kanemitsu, H. Li and J. Liu), Proceedings of the 6th China-Japan Seminar (Shanghai, August 15-17, 2011), World Scientific Publishing, Singapore, 2013, pp. 244-258.
LINKS
Zhi-Wei Sun, Conjectures involving arithmetical sequences, arXiv:1208.2683 [math.CO], 2012.
PROG
(PARI) a002496(n) = my(k=1, i=0); while(i < n, if(ispseudoprime(k^2+1), i++); if(i==n, return(k^2+1)); k++)
is(n) = a002496(n+1) < a002496(n)^(1+1/n)
CROSSREFS
KEYWORD
nonn
AUTHOR
Felix Fröhlich, May 06 2017
STATUS
approved