|
| |
|
|
A155177
|
|
Area ar/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes.
|
|
5
| |
|
|
1, 5, 140, 385, 2870, 8555, 29370, 42925, 93665, 116795, 149226, 155155, 348551, 380380, 414090, 513590, 1229305, 1801800, 2567895, 2767905, 3873301, 3924830, 5053620, 6970150, 17090486, 18362930, 23396450, 31919165, 39336465, 41791750
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| p=1,q=2,a=3,b=4,c=5, ar=3*4/2=6, s=12-+1primes, ...
|
|
|
MATHEMATICA
| lst={}; Do[p=n; q=p+1; a=q^2-p^2; c=q^2+p^2; b=2*p*q; s=a+b+c; ar=a*b/2; If[PrimeQ[s-1]&&PrimeQ[s+1], AppendTo[lst, ar/6]], {n, 8!}]; lst
|
|
|
CROSSREFS
| Cf. A020882, A020886, A020884, A020883, A024364, A024406, A155171, A155173, A155174, A155175, A155176
Sequence in context: A188451 A061463 A091058 * A054323 A061320 A193756
Adjacent sequences: A155174 A155175 A155176 * A155178 A155179 A155180
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 21 2009
|
| |
|
|
