|
Search: id:A066706
|
|
|
| A066706 |
|
Numbers n such that n divides the average of Prime(n+1) and Prime(n). |
|
+0
3
|
|
| 2, 3, 10, 30, 182, 439, 1058, 40086, 40090, 40114, 40120, 100347, 251708, 637328, 637336, 637340, 4124468, 10553440, 10553445, 10553829, 27067138, 179992932, 179993008, 179993012, 179993017, 465769835
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Each cluster of candidates is about e (2.71828...) times as large as the previous one. - Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 18 2002
|
|
EXAMPLE
|
The average of p(3) = 5 and p(3+1) = 7 is 6, which is divisible by 3; so 3 is a term of the sequence.
|
|
MATHEMATICA
|
Select[ Range[10^7], Mod[ (Prime[ # + 1] + Prime[ # ])/2, # ] == 0 & ]
a = 2; b = 3; Do[b = Prime[n + 1]; If[ Mod[(a + b)/2, n] == 0, Print[n]]; a = b, {n, 1, 2*10^9} ]
|
|
CROSSREFS
|
Sequence in context: A034324 A121909 A131764 this_sequence A080022 A057146 A059735
Adjacent sequences: A066703 A066704 A066705 this_sequence A066707 A066708 A066709
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 14 2002
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 16 2002
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 18 2002
|
|
|
Search completed in 0.002 seconds
|
