|
Search: id:A075719
|
|
|
| A075719 |
|
1+n+n^s is a prime, s=10. |
|
+0
3
|
|
| 1, 3, 8, 21, 23, 26, 33, 36, 38, 45, 51, 57, 69, 71, 78, 92, 107, 117, 149, 156, 170, 176, 179, 195, 209, 216, 219, 224, 261, 293, 321, 341, 359, 374, 378, 386, 390, 404, 410, 413, 420, 474, 492, 507, 516, 546, 569, 572, 582, 621, 632, 683, 767, 783, 789, 809
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
For s = 5,8,11,14,17,20,..., n_s=1+n+n^s is always composite for any n>1. Also at n=1, n_s=3 is a prime for any s. So it is interesting to consider only the cases of s =/= 5,8,11,14,17,20,... and n>1. Here i consider the case s=10 and find several first n's making n_s a prime (or a probable prime).
|
|
EXAMPLE
|
3 is OK because at s=10, n=3, n_s=1+n+n^s=59053 is a prime.
|
|
PROGRAM
|
(PARI) for(n=1, 1000, if(isprime(1+n+n^10), print1(n", ")))
|
|
CROSSREFS
|
Cf. A002384, A075718, A075720.
Sequence in context: A027320 A027319 A066212 this_sequence A101643 A046815 A160404
Adjacent sequences: A075716 A075717 A075718 this_sequence A075720 A075721 A075722
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Oct 03 2002
|
|
EXTENSIONS
|
More terms from R. Stephan (ralf(AT)ark.in-berlin.de), Apr 05 2003
|
|
|
Search completed in 0.002 seconds
|
