



3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
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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

ZhiWei Sun, Conjectures involving arithmetical sequences, in: Number Theory: Arithmetic in ShangriLa (eds., S. Kanemitsu, H. Li and J. Liu), Proceedings of the 6th ChinaJapan Seminar (Shanghai, August 1517, 2011), World Scientific Publishing, Singapore, 2013, pp. 244258.


LINKS

Table of n, a(n) for n=1..67.
ZhiWei 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

Cf. A000027, A002496.
Sequence in context: A196112 A009004 A005527 * A009005 A138884 A008521
Adjacent sequences: A285170 A285171 A285172 * A285174 A285175 A285176


KEYWORD

nonn


AUTHOR

Felix FrÃ¶hlich, May 06 2017


STATUS

approved



