|
Search: id:A125039
|
|
|
| A125039 |
|
Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^4 + 1}, where Q is the product of previous terms in the sequence. |
|
+0
2
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
All prime divisors of (2Q)^4 + 1 are congruent to 1 modulo 8.
|
|
REFERENCES
|
G. A. Jones and J. M. Jones, Elementary Number Theory, Springer-Verlag, NY, (1998), p. 271.
|
|
LINKS
|
N. Hobson, Home page (listed in lieu of email address)
|
|
EXAMPLE
|
a(3) = 4261668267710686591310687815697 is the smallest prime
divisor of (2Q)^4 + 1 = 4261668267710686591310687815697, where Q = 17 * 1336337.
|
|
CROSSREFS
|
Cf. A000945, A007519, A057204-A057208, A051308-A051335, A124984-A124993, A125037-A125045.
Sequence in context: A099499 A051157 A130653 this_sequence A125041 A013806 A147671
Adjacent sequences: A125036 A125037 A125038 this_sequence A125040 A125041 A125042
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
Nick Hobson Nov 18 2006
|
|
|
Search completed in 0.002 seconds
|
