|
Search: id:A096176
|
|
|
| A096176 |
|
Numbers n such that (n^3-1)/(n-1) is prime. |
|
+0
3
|
|
| 2, 3, 5, 6, 8, 12, 14, 15, 17, 20, 21, 24, 27, 33, 38, 41, 50, 54, 57, 59, 62, 66, 69, 71, 75, 77, 78, 80, 89, 90, 99, 101, 105, 110, 111, 117, 119, 131, 138, 141, 143, 147, 150, 153, 155, 161, 162, 164, 167, 168, 173, 176, 188, 189, 192, 194, 203, 206, 209, 215, 218
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
a(3)=8 because (8^3-1)/(8-1)=511/7=73 is prime.
|
|
MATHEMATICA
|
Select[Range[2, 550], PrimeQ[(#^3-1)/(#-1)]&] [From Harvey P. Dale (hpd1(AT)nyu.edu), Sep 10 2009]
|
|
CROSSREFS
|
Cf. A096174 (n^3+1)/(n+1) is prime, A081257 largest prime factor of n^3-1, A096175 n^3-1 is an odd semiprime.
A028491, A004061 [From Daniel McCandless (dkmccandless(AT)gmail.com), Aug 31 2009]
Sequence in context: A107947 A120768 A002384 this_sequence A002243 A094763 A125559
Adjacent sequences: A096173 A096174 A096175 this_sequence A096177 A096178 A096179
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 22 2004
|
|
EXTENSIONS
|
Added 3 and 5 Daniel McCandless (dkmccandless(AT)gmail.com), Aug 31 2009
Supplied corrected terms including many previously-omitted terms Harvey P. Dale (hpd1(AT)nyu.edu), Sep 10 2009
|
|
|
Search completed in 0.004 seconds
|
