The On-Line Encyclopedia of Integer Sequences (OEIS)

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A085873

a(1) = 2; a(n)= smallest prime of the form k*a(n-1) + 1 where k itself is a multiple of n.
(history; published version)

#7 by N. J. A. Sloane at Thu Dec 05 19:56:18 EST 2013

AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Jul 07 2003

Discussion

Thu Dec 05

19:56

OEIS Server: https://oeis.org/edit/global/2075

#6 by Russ Cox at Fri Mar 30 17:29:07 EDT 2012

EXTENSIONS

More terms from _Ray Chandler (rayjchandler(AT)sbcglobal.net), _, Jul 08 2003

Discussion

Fri Mar 30

17:29

OEIS Server: https://oeis.org/edit/global/154

#5 by Russ Cox at Fri Mar 30 17:22:28 EDT 2012

EXTENSIONS

Corrected by _T. D. Noe (noe(AT)sspectra.com), _, Nov 15 2006

Discussion

Fri Mar 30

17:22

OEIS Server: https://oeis.org/edit/global/120

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

EXAMPLE

a(2)= 5 = 2*2 + 1, a(3) = 6*5 + 1, a(4) = 12*31 + 1; 2,6, and 12 are respectively multiples of 2, 3 and 4.

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Fri Jan 12 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Ray Chandler (RayChandlerrayjchandler(AT)alumni.tcusbcglobal.edunet), Jul 08 2003

#2 by N. J. A. Sloane at Wed Dec 06 03:00:00 EST 2006

DATA

2, 5, 31, 373, 22381, 134287, 3760037, 481284737, 25989375799, 6237450191761, 411671712656227, 64220787174371413, 73468580527480896473, 1028560127384732550623, 185140822929251000000000185140822929251859112141

EXTENSIONS

Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

NAME

a(1) = 2; a(n)= smallest prime of the form k*a(n-1) + 1 where k itself is a multiple of n.

DATA

2, 5, 31, 373, 22381, 134287, 3760037, 481284737, 25989375799, 6237450191761, 411671712656227, 64220787174371413, 73468580527480896473, 1028560127384732550623, 185140822929251000000000

OFFSET

1,1

EXAMPLE

a(2)= 5 = 2*2 + 1, a(3) = 6*5 + 1, a(4) = 12*31 + 1; 2,6, and 12 are respectively multiples of 2, 3 and 4.

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 07 2003

EXTENSIONS

More terms from Ray Chandler (RayChandler(AT)alumni.tcu.edu), Jul 08 2003

STATUS

approved