|
|
A096698
|
|
Balanced primes of order six.
|
|
17
|
|
|
71, 211, 397, 409, 1487, 1559, 2281, 4397, 4937, 5347, 5857, 7577, 10399, 11369, 12583, 14843, 19391, 21739, 21787, 22067, 22469, 23789, 25639, 27329, 29537, 29867, 30197, 30911, 33347, 33931, 34267, 35099, 36131, 36691, 37549, 38671
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
71 is a member because 71 = (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101)/13.
|
|
MATHEMATICA
|
Transpose[ Select[ Partition[ Prime[ Range[5000]], 13, 1], #[[7]] == (#[[1]] + #[[2]] + #[[3]] + #[[4]] + #[[5]] + #[[6]] + #[[8]] + #[[9]] + #[[10]] + #[[11]] + #[[12]] + #[[13]])/12 &]][[7]]
Transpose[Select[Partition[Prime[Range[5000]], 13, 1], Total[#]/13==#[[7]]&]][[7]] (* Harvey P. Dale, Feb 25 2011 *)
|
|
PROG
|
(GAP) P:=Filtered([1..90000], IsPrime);;
b:=6;;
a:=List(Filtered(List([0..5000], k->List([b+1..3*b+1], j->P[j-b+k])), i->Sum(i)/(2*b+1)=i[b+1]), m->m[b+1]); # Muniru A Asiru, Feb 15 2018
(PARI) isok(p) = {if (isprime(p), k = primepi(p); if (k >6, sum(i=k-6, k+6, prime(i)) == 13*p; ); ); } \\ Michel Marcus, Mar 07 2018
|
|
CROSSREFS
|
Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096699, A096700, A096701, A096702, A096703, A096704.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|