A114331 -id:A114331 - cp's OEIS frontend

A114349 Terms of A114331 divided by the appropriate prime (q) in A052248.

2, 2, 2, 4, 2, 6, 2, 2, 6, 2, 2, 6, 2, 3, 2, 12, 2, 3, 24, 2, 2, 2, 2, 9, 6, 2, 3, 3, 2, 3, 2, 6, 2, 30, 5, 2, 2, 4, 2, 36, 3, 64, 2, 18, 2, 2, 2, 12, 8, 3, 48, 3, 2, 2, 3, 54, 2, 2, 6, 3, 2, 3, 24, 2, 2, 2, 2, 12, 27, 2, 2, 7, 8, 2, 2, 2, 2, 4, 3, 60, 2, 144, 4, 26, 2, 2, 2, 42, 2, 2, 2

Offset: 2

N. J. A. Sloane, based on correspondence from Leroy Quet and Hugo Pfoertner, Feb 22 2006

nonn

Cf. A052248, A114331.

A136802 The composite with the largest prime factor in the n-th prime gap larger than 2.

Original entry on oeis.org

10, 14, 22, 26, 34, 38, 46, 51, 58, 62, 69, 74, 82, 86, 94, 99, 106, 111, 122, 129, 134, 146, 155, 158, 166, 172, 178, 183, 194, 206, 218, 226, 232, 237, 249, 254, 262, 267, 274, 278, 291, 302, 309, 314, 326, 334, 346, 351, 358, 362, 371, 376, 382, 386, 394

Offset: 1

Enoch Haga, Jan 24 2008

Pick the number in the interval [A136798(n),A136799(n)] with the largest prime factor.

The sequence is obtained from A114331 by removing terms in prime gaps of size 2.

			a(1)=10 because at N=10 the largest prime factor is 5.

Cf. A136798, A136799, A136800, A136801.

A006530 := proc(n) max( op(numtheory[factorset](n))) ; end:
A136798 := proc(n) local a; if n = 1 then 8; else a := nextprime( procname(n-1))+1 ; while nextprime(a)-a <=2 do a := nextprime(a)+1 ; od; RETURN(a) ; fi; end:
A136802 := proc(n) local c,lpf,a; c := A136798(n) ; lpf := A006530(c) ; a := c; while not isprime(c+1) do c := c+1 ; if A006530(c) > lpf then a := c ; lpf := A006530(c) ; fi; od: a ; end:
seq(A136802(n),n=1..80) ; # R. J. Mathar, May 27 2009

A006530(a(n)) = A136801(n).

Edited by R. J. Mathar, May 27 2009

cp's OEIS Frontend

A114349 Terms of A114331 divided by the appropriate prime (q) in A052248.

Views

Author

Keywords

Crossrefs

A136802 The composite with the largest prime factor in the n-th prime gap larger than 2.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

Maple

Formula

Extensions