|
Search: id:A057776
|
|
|
| A057776 |
|
a(n)-th prime is smallest such that p(a[n])-1 is divisible by 2^(n-1) and quotient is odd. |
|
+0
1
|
|
| 1, 2, 3, 13, 7, 25, 44, 116, 55, 974, 1581, 2111, 1470, 4289, 10847, 15000, 6543, 91466, 62947, 397907, 498178, 1452314, 6025010, 20197904, 38946356, 9385401, 24843812, 98842359, 166808880, 556542914, 154570517
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
n=1,a(1)=1, p(a(1))=p(1)=2 and p-1=1 is divisible by 2^(n-1)=2^0=1; moreover 2 is the smallest. n=10, a(10)=974, the 974th prime is 7681, p(974)-1=7680=512.15, is divisible by 2^9 =512 the quotient is 15 and no such a prime is below 7681. A057775(30)= 12348030977; A057776(30)=556542914 It means 12348030977 is the 556542914th prime. A057777(30) = 12348030976; When A057777(30) is divided by 2^29, the quotient is 23=A057778(30).
|
|
CROSSREFS
|
Cf. A000040, A006093, A057773-A057778.
Sequence in context: A128369 A087568 A087564 this_sequence A110362 A074478 A132365
Adjacent sequences: A057773 A057774 A057775 this_sequence A057777 A057778 A057779
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Nov 02 2000
|
|
|
Search completed in 0.004 seconds
|
