|
|
A068231
|
|
Primes congruent to 11 mod 12.
|
|
38
|
|
|
11, 23, 47, 59, 71, 83, 107, 131, 167, 179, 191, 227, 239, 251, 263, 311, 347, 359, 383, 419, 431, 443, 467, 479, 491, 503, 563, 587, 599, 647, 659, 683, 719, 743, 827, 839, 863, 887, 911, 947, 971, 983, 1019, 1031, 1091, 1103, 1151, 1163, 1187, 1223
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Intersection of A002145 (primes of form 4n+3) and A003627 (primes of form 3n-1). So these are both Gaussian primes with no imaginary part and Eisenstein primes with no imaginary part. - Alonso del Arte, Mar 29 2007
Is this the same sequence as A141187 (apart from the initial 3)?
If p is prime of the form 2*a(n)^k + 1, then p divides a cyclotomic number Phi(a(n)^k, 2). - Arkadiusz Wesolowski, Jun 14 2013
|
|
LINKS
|
|
|
MATHEMATICA
|
Select[Prime/@Range[250], Mod[ #, 12]==11&]
|
|
PROG
|
(PARI) for(i=1, 250, if(prime(i)%12==11, print(prime(i))))
(Magma) [p: p in PrimesUpTo(1500) | p mod 12 eq 11 ]; // Vincenzo Librandi, Aug 14 2012
(MATLAB)
%4n-1 and 6n-1 primes
n = 1:10000;
n2 = 4*n-1;
n3 = 3*n-1;
p = primes(max(n2));
Res = intersect(n2, n3);
Res2 = intersect(Res, p);
|
|
CROSSREFS
|
Cf. A068227, A068228, A068229, A040117, A068232, A068233, A068234, A068235, A000040, A014138, A000108.
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|