|
Search: id:A084047
|
|
|
| A084047 |
|
Smallest prime p such that p - n is an n-th power, or 0 if no such number exists. I.e. smallest prime of the form k^n + n. |
|
+0
2
|
|
| 2, 3, 11, 5, 37, 7, 268435463, 6569, 521, 11, 36028797018963979, 13, 859935929762876868984659981, 4807339234680508004200143948920808143, 32783, 17, 30491346729331195921, 19, 32064977213018365645815827
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
a(2) = 3 = 1^2 + 2; a(4) = 5 = 1^4 + 4; a(6) = 7 = 1^6 + 6. In general, if n+1 is prime, then a(n) = n+1 = 1^n+n.
|
|
CROSSREFS
|
Cf. A084046.
Sequence in context: A039654 A075240 A137332 this_sequence A145077 A127376 A086146
Adjacent sequences: A084044 A084045 A084046 this_sequence A084048 A084049 A084050
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 26 2003
|
|
EXTENSIONS
|
Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 16 2003
|
|
|
Search completed in 0.002 seconds
|
