# [seqfan] Re: Binary Primes In Binary Primes

Leroy Quet q1qq2qqq3qqqq at yahoo.com
Tue Mar 16 16:22:18 CET 2010

```Whoops, the base-10 version is wrong.

Should be:

2, 23, 3, 13, 113, 11,...

Still not in the EIS.

Leroy

[ ( [ ([( [ ( ([[o0Oo0Ooo0Oo(0)oO0ooO0oO0o]]) ) ] )]) ] ) ]

--- On Tue, 3/16/10, Leroy Quet <q1qq2qqq3qqqq at yahoo.com> wrote:

> From: Leroy Quet <q1qq2qqq3qqqq at yahoo.com>
> Subject: [seqfan] Re: Binary Primes In Binary Primes
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Tuesday, March 16, 2010, 3:11 PM
> 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.
>
> Thanks,
> Leroy Quet
>
> [ ( [ ([( [ ( ([[o0Oo0Ooo0Oo(0)oO0ooO0oO0o]]) ) ] )]) ] )
> ]
>
>
>
>
>
>
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>

```