|
Search: id:A084160
|
|
|
| A084160 |
|
First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap. |
|
+0
4
|
|
| 2, 13, 5, 17, 73, 293, 113, 1153, 197, 2557, 1321, 1553, 461, 2161, 1493, 1801, 10993, 9533, 15661, 27817, 76001, 24593, 16741, 40709, 53453, 58789, 62297, 33181, 256189, 110321, 112757, 344497, 39581, 138661, 269761, 448421, 78989, 50593
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Real primes 2,5,13,17,29,37,... have a unique representation as sum of two squares. Values larger 2 are the primes p with p = 1 mod 4. This is sequence A002313. If p = x^2 + y^2, the corresponding complex prime is x+y*i
|
|
REFERENCES
|
Handbook of First Complex Prime Numbers, Part1+2 Ervand Kogbetliantz and Alice Krikorian, Gordon and Breach, 1971
|
|
EXAMPLE
|
a(3) = 17 because the next prime in sequence A002313 is 29, the size of the gap is 3*4 = 12.
|
|
CROSSREFS
|
Cf. A002313, A084161.
Adjacent sequences: A084157 A084158 A084159 this_sequence A084161 A084162 A084163
Sequence in context: A093079 A095417 A129733 this_sequence A128155 A124869 A065584
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Sven Simon (sven-h.simon(AT)t-online.de), May 17 2003
|
|
|
Search completed in 0.002 seconds
|
