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A163426
Primes of the form ((p+1)/2)^3 + ((p-1)/2), p is prime.
6
29, 67, 349, 1009, 3389, 4111, 9281, 19709, 46691, 132701, 140659, 166429, 658589, 884831, 1000099, 1405039, 1520989, 1601729, 1728119, 2146817, 2460509, 2685757, 4574461, 7078079, 7880797, 10077911, 14887181, 23149409, 23393941, 27000299
OFFSET
1,1
LINKS
EXAMPLE
((5+1)/2)^3 + ((5-1)/2) = 27 + 2 = 29;
((7+1)/2)^3 + ((7-1)/2) = 64 + 3 = 67.
MATHEMATICA
f[n_]:=((p+1)/2)^3+((p-1)/2); lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 6!}]; lst
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Checked by Charles R Greathouse IV, Aug 11 2009
STATUS
approved