|
Search: id:A089308
|
|
|
| A089308 |
|
Triangle read by rows, in which n-th row contains n numbers starting with n and in increasing order such that the product of the terms + 1 gives the smallest such prime. |
|
+0
2
|
|
| 1, 2, 3, 3, 4, 5, 4, 5, 6, 10, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12, 14, 8, 9, 10, 11, 12, 14, 15, 16, 9, 10, 11, 12, 13, 14, 15, 16, 21, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
It is not always the case that the first n-1 terms are n,n+1, n+2, ... 2n-2 etc. and then the last term chosen to yield a prime. The choice of the terms is the one that yields the least prime.
|
|
EXAMPLE
|
1
2 3
3 4 5
4 5 6 10
5 6 7 8 9
...
a(22)..a(28)=7,8,9,10,11,12,14 is the strictly increasing sequence that yields the smallest prime A089307(7)=9313921 of the form 7*n2*n3*..*n7+1, 7<n2<...<n7.
|
|
CROSSREFS
|
Cf. A089307.
Adjacent sequences: A089305 A089306 A089307 this_sequence A089309 A089310 A089311
Sequence in context: A120246 A120244 A094727 this_sequence A115729 A115728 A026354
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 01 2003
|
|
EXTENSIONS
|
More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 06 2004
|
|
|
Search completed in 0.002 seconds
|
