Love sequence with 69

Pfoertner, Hugo Hugo.Pfoertner at muc.mtu.de
Wed Feb 8 14:51:37 CET 2006


-----Original Message-----
From: zak seidov [mailto:zakseidov at yahoo.com] 
Sent: Tuesday, February 07, 2006 18:44
To: Eric Angelini; Seqfan Mailing List
Subject: RE: Love sequence with 69


Also,
A1 (not in OEIS):
269,569,691,769,1069,1669,1693,1697,1699,2069,2269,2693,2699,2969,3169,3469,
3691,3697,3769,4691,4969,5569,5669,5693,5869,6269,6469,6569,6691,6869,6907,6
911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7069,7369,7669,76
91,7699
Primes with "69" pair.
A2 (not in OEIS):
69691,69697,86969,116969,169069,169369,169691,169693,169769,269069,296969,35
6969,369169,369269,369469,376969,406969,446969,469069,469169,469369,469691,4
69769
Primes with two "69" pairs.

Enjoy, Zak

-------------------------------

The obvious generalization:

Smallest prime with n "69"s in its decimal representation:

2, 269, 69691, 1696969, 269696969, 56969696969, 1696969696969,
269696969696969, 16969696969696969, 2696969696969696969,
569696969696969696969, 69469696969696969696969, 2696969696969696969696969,
691696969696969696969696969, 69696969694696969696969696969,
6969696969269696969696969696969, 269696969696969696969696969696969,

base,dumb of course

OT: For "the beast" see the sci.math thread starting at
http://groups.google.com/group/sci.math/msg/9a7ce5afdd2f8593

Hugo





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