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%I #49 Jan 10 2024 23:55:27
%S 0,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,
%T 89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,
%U 179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269
%N Zero together with the prime numbers (A000040).
%C These numbers are the possible characteristics of a field.
%C First differences are in A054541. - _Omar E. Pol_, Oct 31 2013
%C Also A158611 without its second term. - _Omar E. Pol_, Nov 01 2013
%C The ideals generated by a(n) form Spec(Z), the set of prime ideals of the ring of integers. Due to its importance in algebraic geometry, algebraic geometers often consider 0 to be an honorary prime. - _Keith J. Bauer_, Jan 09 2024
%t Prepend[Table[Prime[n], {n, 60}], 0] (* _Arkadiusz Wesolowski_, Sep 15 2011 *)
%t NestList[ NextPrime, 0, 57] (* _Robert G. Wilson v_, Jul 21 2015 *)
%o (PARI) a(n)=if(n>1,prime(n-1),0) \\ _Charles R Greathouse IV_, Jul 15 2013
%Y Cf. A141468.
%Y Complement of A018252. - _Arkadiusz Wesolowski_, Sep 15 2011
%K nonn,easy
%O 1,2
%A _Charles R Greathouse IV_, Feb 05 2011