|
Search: id:A073499
|
|
|
| A073499 |
|
Numbers n such that n^(n+1) + (n+1)^n is prime. |
|
+0 5
|
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
There are no more terms up to 1650.
6964 and 9376 are terms. - Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 09 2007
|
|
EXAMPLE
|
1^2 + 2^1 = 3 and 2^3 + 3^2 = 17 are the primes corresponding to the first two terms. The next four terms correspond to probable primes of 155, 870, 2487, and 3678 decimal digits.
|
|
MATHEMATICA
|
Do[ If[ PrimeQ[n^(n + 1) + (n + 1)^n], Print[n]], {n, 1, 1650}]
|
|
PROGRAM
|
(PARI) for(n=1, 1650, if(isprime((n^(n+1))+((n+1)^n)), print1(n, ", ")))
|
|
CROSSREFS
|
Cf. A072179.
Sequence in context: A113152 A060051 A100421 this_sequence A123828 A008563 A059487
Adjacent sequences: A073496 A073497 A073498 this_sequence A073500 A073501 A073502
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 05 2002
|
|
EXTENSIONS
|
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 08 2002
|
|
|
Search completed in 0.002 seconds
|