A084732 Let p be the n-th prime; Cp(x) be the p-th cyclotomic polynomial (x^p-1)/(x-1); a(n) is the first prime Cp(x) after Cp(1).

3, 7, 31, 127, 12207031, 8191, 131071, 524287, 11111111111111111111111, 7369130657357778596659, 2147483647, 19013087418896543607659206142267856546797091624826498592389251997, 7538867501749984216983927242653776257689563451, 26656068987980386414408582952871386493955339704241

Offset

1,1

Links

Table of n, a(n) for n=1..14.

Formula

a(n) = A085399(prime(n)).

Example

a(5)=12207031 because 11 is the 5th prime; C11(x) is composite for x=2,3,4 and C11(5)=12207031 is prime.

Crossrefs

Cf. A066180, A085399.

Sequence in context: A088552 A000668 A136007 * A123488 A121620 A042271

Adjacent sequences: A084729 A084730 A084731 * A084733 A084734 A084735

Keyword

nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003

Extensions

Edited by Don Reble, Jun 28 2003

Status

approved