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A182986 Zero together with the prime numbers (A000040). 9
0, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
These numbers are the possible characteristics of a field.
First differences are inA054541.-Omar E. Pol,Oct 31 2013
AlsoA158611without its second term. -Omar E. Pol,Nov 01 2013
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
LINKS
MATHEMATICA
Prepend[Table[Prime[n], {n, 60}], 0] (*Arkadiusz Wesolowski,Sep 15 2011 *)
NestList[ NextPrime, 0, 57] (*Robert G. Wilson v,Jul 21 2015 *)
PROG
(PARI) a(n)=if(n>1, prime(n-1), 0) \\Charles R Greathouse IV,Jul 15 2013
CROSSREFS
Complement ofA018252.-Arkadiusz Wesolowski,Sep 15 2011
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified September 15 15:30 EDT 2024. Contains 375938 sequences. (Running on oeis4.)