|
Search: id:A053647
|
|
|
| A053647 |
|
First term of first sequence of n primes in arithmetic progression with a common difference equal to the product of first n primes. |
|
+0
1
|
|
| 2, 5, 7, 13, 37, 73, 7937, 7703, 272809, 640943, 5378959, 116137159, 3708797237, 114649314209, 158317270283
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
R. Chapman, Dirichlet's theorem:a real variable approach
B. Green & T. Tao, The primes contain arbitrarily long arithmetic progressions
Index entries for sequences related to primes in arithmetic progressions
|
|
EXAMPLE
|
For n=3, product of first 3 primes is 30. The first arithmetic progression of 3 primes with difference 30 starts at 7 (7, 37, 67), so a(3)=7.
|
|
CROSSREFS
|
Sequence in context: A107057 A038945 A141112 this_sequence A023242 A164570 A126338
Adjacent sequences: A053644 A053645 A053646 this_sequence A053648 A053649 A053650
|
|
KEYWORD
|
hard,nonn,nice
|
|
AUTHOR
|
G. L. Honaker, Jr. (honak3r(AT)gmail.com), Feb 18 2000
|
|
EXTENSIONS
|
Last 3 terms from Jud McCranie (j.mccranie(AT)comcast.net), Feb 28 2000
a(14)>2^32 and a(15)>2^32 - Jud McCranie.
a(14)-a(15) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 20 2009
|
|
|
Search completed in 0.002 seconds
|
