The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A102854 Prime at which n appears for the first time in A102350. 2
2, 5, 13, 17, 37, 47, 73, 89, 113, 137, 193, 233, 293, 277, 373, 359, 401, 499, 467, 613, 577, 743, 877, 857, 701, 991, 863, 1223, 1153, 1109, 1307, 1571, 1609, 1493, 1637, 2053, 1783, 1889, 1913, 2017, 2221, 2063, 2161, 2381, 2467, 2333, 2677, 2719, 2633 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
The least prime which has n prime prime residues.
LINKS
MAPLE
N:= 100: # for a(0)..a(N)
count:= 0: B:= Array(0..N): p:= 1:
for i from 1 while count < N+1 do
p:= nextprime(p);
P[i]:= p;
v:= nops(select(isprime, [seq(p mod P[j], j=1..i-1)]));
if v <= N and B[v] = 0 then
B[v]:= p; count:= count+1;
fi
od:
convert(B, list); # Robert Israel, Oct 23 2020
MATHEMATICA
f[n_] := Length[ Select[ Mod[ Prime[n], Prime[ Range[n]]], PrimeQ[ # ] &]]; g[n_] := Block[{k = 1}, While[ f[ k] != n, k++ ]; Prime[k]]; Table[ g[n], {n, 0, 48}]
CROSSREFS
Cf. A102351.
Sequence in context: A293173 A079936 A363750 * A156009 A215275 A164620
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Feb 28 2005
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)