|
Search: id:A104479
|
|
|
| A104479 |
|
Positive integers n such that n^16 + 1 is semiprime (A001358). |
|
+0
5
|
|
| 3, 4, 9, 12, 14, 16, 18, 20, 26, 29, 40, 41, 48, 58, 70, 73, 81, 87, 92, 96, 104, 111, 113, 114, 118, 122, 130, 140, 142, 144, 146, 150, 157, 162, 164, 167, 168, 172, 173, 184, 187, 192, 194, 195, 199, 200
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
n^16 + 1 is an irreducible polynomial over Z, and thus can be either prime (A006313) or semiprime.
|
|
FORMULA
|
a(n)^16 + 1 is semiprime (A001358).
|
|
EXAMPLE
|
3^16 + 1 = 43046722 = 2 * 21523361,
4^16 + 1 = 4294967297 = 641 * 6 700417,
9^16 + 1 = 1853020188851842 = 2 * 926510094425921,
12^16 + 1 = 184884258895036417 = 153953 * 1200913648289,
200^16 + 1 = 6553600000000000000000000000000000001 =
162123499503471553 * 40423504427621041217.
|
|
CROSSREFS
|
Cf. A000040, A001358, A006313, A103854, A104238, A104335, A105041, A105066, A105078, A105122, A105142, A105237.
Adjacent sequences: A104476 A104477 A104478 this_sequence A104480 A104481 A104482
Sequence in context: A062798 A035256 A047075 this_sequence A067163 A010394 A010427
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost2(AT)yahoo.com), Apr 18 2005
|
|
|
Search completed in 0.002 seconds
|
