A087574 a(1) = 1, then the smallest number such that the n-th partial concatenation has a prime signature of n.

1, 1, 3, 569, 9, 7, 17, 4309310755297761811152063, 22040307829968145762952262950216858361, 17, 127, 148, 119, 1, 8

Offset

1,3

Comments

a(n-1) < a(n) > a(n+1) if n is a prime power.

Next term has 267 digits. - David Wasserman, Jun 07 2005

Links

Table of n, a(n) for n=1..15.

Example

1,11,113,113569,... etc., have the prime signature of 1,2,3 and 4 respectively.
113569= 337^2 has the prime signature of 4=2^2.

Crossrefs

Sequence in context: A201431 A171359 A002306 * A153402 A121043 A058467

Adjacent sequences: A087571 A087572 A087573 * A087575 A087576 A087577

Keyword

base,nonn

Author

Amarnath Murthy, Sep 17 2003

Extensions

More terms from David Wasserman, Jun 07 2005

Status

approved