|
Search: id:A118912
|
|
|
| A118912 |
|
a(1) = 2; a(n) is greatest prime < a(n-1)^4. |
|
+0
1
|
|
| 2, 13, 28559, 665230244078823349, 195833931687186822327230545227550596864953022841534058316595001440791433
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Exponent 4 analogue of A059785 a(n+1)=prevprime(a(n)^2), with exponent 3 being A118910 a(1) = 2; a(n) is greatest prime < a(n-1)^3.
|
|
FORMULA
|
a(1) = 2; a(n) is greatest prime < a(n-1)^4.
|
|
EXAMPLE
|
a(1) = 2, by definition.
a(2) = 13 = 2^4 - 3.
a(3) = 28559 = 13^4 - 2.
a(4) = 665230244078823349 = 28559^4 - 12.
a(5) = 195833931687186822327230545227550596864953022841534058316595001440791433 = 665230244078823349^4 - 168.
a(6) is too large to include.
|
|
CROSSREFS
|
Cf. A001358, A055496, A076656, A006992, A005384, A005385, A118908-A118913.
Sequence in context: A110820 A139519 A111016 this_sequence A135970 A027738 A133420
Adjacent sequences: A118909 A118910 A118911 this_sequence A118913 A118914 A118915
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), May 05 2006
|
|
|
Search completed in 0.003 seconds
|
