|
|
A075281
|
|
Interprimes which are of the form s*prime, s=6.
|
|
1
|
|
|
12, 18, 30, 42, 102, 138, 186, 246, 282, 426, 582, 618, 642, 822, 834, 1158, 1698, 1878, 2022, 2082, 2094, 2238, 2382, 2526, 2658, 2802, 2922, 2946, 3462, 3522, 3558, 3714, 3786, 3858, 3918, 4038, 4146, 4206, 4638, 4722, 4866, 4962, 5442, 5946, 6126
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Interprimes which are of the form s*prime are in A075277-A075296 (s = 2-21). Case s = 1 is impossible.
|
|
LINKS
|
|
|
EXAMPLE
|
138 is an interprime and 138/6 = 23 is prime.
|
|
MATHEMATICA
|
s=6; Select[Table[(Prime[n+1]+Prime[n])/2, {n, 2, 1000}], PrimeQ[ #/s]&]
Select[Total[#]/2&/@Partition[Prime[Range[1000]], 2, 1], PrimeQ[#/6]&] (* Harvey P. Dale, Dec 18 2021 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|