|
Search: id:A088252
|
|
|
| A088252 |
|
n-th row of the following triangle contains smallest set of n primes which form n successive terms of an arithmetic progression from the 2nd to (n+1)th term with the first term 1. Sequence contains the leading diagonal. |
|
+0
4
|
|
| 2, 3, 7, 1321, 54151, 152461, 3589741, 4102561, 116645455081, 4344917276701, 20825699190451, 852277147361641, 11417019330356641
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
A088252(n)=n*A088250(n)+1=n*A088251(n)-n+1. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 21 2004
|
|
EXAMPLE
|
2
2 3
3 5 7
331 661 991 1321
...
|
|
CROSSREFS
|
Cf. A002110, A088250, A088251.
Sequence in context: A046284 A069503 A077524 this_sequence A048979 A088332 A131959
Adjacent sequences: A088249 A088250 A088251 this_sequence A088253 A088254 A088255
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 26 2003
|
|
EXTENSIONS
|
More terms from Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 21 2004
|
|
|
Search completed in 0.002 seconds
|
