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A097142 Number of primes p < 10^n for which 2 is a cubic residue (mod p). 2
3, 16, 112, 818, 6367 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

It would appear that about two-thirds of a primes have 2 as a cubic residue. A097142/A006880.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics..

MATHEMATICA

f[p_] := Block[{k = 2}, While[k < p && Mod[k^3, p] != 2, k++ ]; If[k == p, 0, 1]]; c = 1; k = 2; Do[ While[ p = Prime[k]; p < 10^n, If[ f[p] == 1, c++ ]; k++ ]; Print[c], {n, 5}]

CROSSREFS

Cf. A040028, A006880.

Sequence in context: A039751 A141003 A002404 * A005419 A124537 A074523

Adjacent sequences:  A097139 A097140 A097141 * A097143 A097144 A097145

KEYWORD

more,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 26 2004

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.