Search: id:A059771
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%I A059771
%S A059771 0,4,11,18,23,24,40,59,41,70,64,83,65,62,111,106,105,154,134,141,179,
%T A059771 208,148,140,219,197,153,175,149,245,193,311,186,340,288,246,348,312,
%U A059771 243,227,418,419,377,260,292,396,346,272,368,543,451,433,379,413,321
%N A059771 Second solution of x^2 = 2 mod p for primes p such that a solution exists.
%C A059771 Solutions mod p are represented by integers from 0 to p-1. For p > 2: 
               If x^2 = 2 has a solution mod p, then it has exactly two solutions 
               and their sum is p; i is a solution mod p of x^2 = 2 iff p-i is a 
               solution mod p of x^2 = 2. No integer occurs more than once in this 
               sequence. Moreover, no integer (except 0) occurs both in this sequence 
               and in sequence A059770 of the first solutions (Cf. A059772).
%F A059771 a(n) = second (larger) solution of x^2 = 2 mod p, where p is the n-th 
               prime such that x^2 = 2 mod p has a solution, i.e. p is the n-th 
               term of A038873. a(n) = 0 if x^2 = 2 mod p has one solution (only 
               for p = 2).
%e A059771 a(6) = 24 since 41 is the sixth term of A038873, 17 and 24 are the solutions 
               mod 41 of x^2 = 2 and 24 is the larger one.
%Y A059771 A038873, A059770, A059772.
%Y A059771 Sequence in context: A063556 A133725 A050395 this_sequence A043409 A030610 
               A003327
%Y A059771 Adjacent sequences: A059768 A059769 A059770 this_sequence A059772 A059773 
               A059774
%K A059771 nonn
%O A059771 1,2
%A A059771 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 21 2001

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