[seqfan] Re: Binary Primes In Binary Primes

Leroy Quet q1qq2qqq3qqqq at yahoo.com
Tue Mar 16 16:11:18 CET 2010

Several people have written to me to extend the sequences. Thanks.
(I'll have trouble figuring out how to credit them all when I submit the sequences -- unless someone else would like to submit?)

The sequence-a definition can be simplified a bit:

a(1)=2. a(n) = the smallest prime not yet occurring such that either a(n) is a substring in a(n-1), or a(n-1) is a substring in a(n), when both are written in binary.

The base-10 version of sequence-a is, I think:

2, 23, 3, 31, 131, 13, 113, 11, 211,...

This is NOT in the EIS. Someone else should submit this one, though, if someone even considers it worthy of submission. 

Leroy Quet

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