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A285173 Numbers n such that A002496(n+1) < A002496(n)^(1+1/n). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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

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

Cf. A000027, A002496.

Sequence in context: A196112 A009004 A005527 * A009005 A138884 A008521

Adjacent sequences:  A285170 A285171 A285172 * A285174 A285175 A285176

KEYWORD

nonn

AUTHOR

Felix Fröhlich, May 06 2017

STATUS

approved

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Last modified August 17 19:38 EDT 2022. Contains 356189 sequences. (Running on oeis4.)