A077215 Prime power with largest index that divides the product of composite numbers between successive primes with a(1) = a(2) = 1.

1, 1, 4, 3, 16, 4, 32, 9, 8, 64, 5, 256, 16, 7, 8, 128, 32, 4, 256, 8, 8, 16, 32, 64, 512, 8, 17, 16, 27, 32, 2048, 256, 64, 23, 1024, 25, 64, 128, 8, 64, 64, 9, 256, 64, 8, 9, 4096, 1024, 64, 4, 16, 16, 16, 256, 2048, 16, 64, 27, 128, 16, 47, 2048, 8192, 8, 8, 8, 32768, 128

Offset

1,3

Comments

In case of more than two qualifying candidates the largest one is the member.

Links

Table of n, a(n) for n=1..68.

Example

a(4) = 3 as 3 is the largest prime power dividing 6 which is the only composite number between 5 and 7. a(4) is not 2 though it is also a candidate but 2<3. a(5) = 16 which divides 8*9*10 for prime pair (7,11).

Crossrefs

Sequence in context: A169702 A272422 A271011 * A348061 A270908 A269781

Adjacent sequences: A077212 A077213 A077214 * A077216 A077217 A077218

Keyword

nonn

Author

Amarnath Murthy, Nov 02 2002

Extensions

More terms from Sean A. Irvine, Mar 11 2010

Status

approved