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Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.
1

%I #17 Apr 03 2016 22:16:53

%S 3251,4751,14251,17401,21401,27551,32051,32251,36151,36451,42451,

%T 51001,52501,54101,55001,56501,59051,60101,61051,83401,104801,113051,

%U 116101,119851,121351,170701,174901,178501,178601,179051,182101,185951,190301,202751,213901

%N Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.

%H Eric M. Schmidt, <a href="/A270799/b270799.txt">Table of n, a(n) for n = 1..1000</a>

%H E. Lehmer, <a href="http://dx.doi.org/10.1016/0022-247X(66)90145-4">Artiads characterized</a>, J. Math. Anal. Appl. 15 1966 118-131. See page 123.

%H E. Lehmer, <a href="/A001583/a001583b.pdf">Artiads characterized</a>, J. Math. Anal. Appl. 15 1966 118-131 [annotated and corrected scanned copy]

%o (Sage) def isa(n) : return n % 50 == 1 and is_prime(n) and 2.powermod((n-1)//5, n) == 1 and fibonacci((n - 1)//5) % n == 0 # _Eric M. Schmidt_, Apr 01 2016

%Y Cf. A001583.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Apr 01 2016

%E Definition edited by and more terms from _Eric M. Schmidt_, Apr 01 2016