|
Search: id:A145047
|
|
|
| A145047 |
|
Primes p of the form 4k+1 for which s=10 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a full square |
|
+0
9
|
|
| 1237, 1621, 1721, 1933, 1949, 1993, 2221, 2237, 2309, 2341, 2473, 2621, 2657, 2789, 2797, 2857, 2953, 3221, 3361, 3533, 3677, 3881, 3889, 3917, 4133, 4457, 4481, 4549, 4813, 4889, 4973, 5153, 5189, 5261, 5441, 5653, 5717, 5813, 6101, 6217, 6301, 6329
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Conjecture. The least positive integer s could take values only from A008784 (see for s=1,2,5,10 sequences A145016, A145022, A145023 and this sequence)
|
|
EXAMPLE
|
a(1)=1237 since p=1237 is the least prime of the form 4k+1 for which sp-(floor(sqrt(sp)))^2 is not a full square for s=1,...,9, but 10p-(floor(sqrt(10p)))^2 is a full square (for p=1237 it is 49)
|
|
CROSSREFS
|
A145016 A145017 A145022 A145023 A008784
Sequence in context: A091332 A122043 A161868 this_sequence A010081 A028514 A099178
Adjacent sequences: A145044 A145045 A145046 this_sequence A145048 A145049 A145050
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 30 2008, Oct 05 2008
|
|
|
Search completed in 0.002 seconds
|
