## Therminology question

Expand Messages
• Hello, Does anybody know what s the name of numbers which are prime themselves and their binary representation treated as if it was decimal is also prime? e.g.
Message 1 of 3 , Aug 7, 2002
Hello,
Does anybody know what's the name of numbers which are prime themselves and their binary representation treated as if it was decimal is also prime?
e.g. 3 is such number because it's prime and in binary system it's 11 (eleven in decimal - prime).
And maybe there is no name for this property? Does anyone know some bigger primes of this property?
Regards,
Marcin

=========
'Why do you physicists always need so expensive equipment?
Faculty of Mathematics requires money only for paper,
pencils and waste-paper baskets, and Faculty of Philosophy
is even better - there's no need even for paper-waste baskets.'
Written by anonymous dean of an university.

[Non-text portions of this message have been removed]
• ... their binary representation treated as if it was decimal is also prime? Dunno. multi-base prime ? Makes me think of a conjecture - prove that every
Message 2 of 3 , Aug 8, 2002
>Does anybody know what's the name of numbers which are prime themselves and
their binary >>representation treated as if it was decimal is also prime?

Dunno. 'multi-base prime'? Makes me think of a conjecture - prove that every
prime in base10, when expressed in some other base is also a prime when cast
in base10

>Does anyone know some bigger primes of this property?

5 = 101

See A064507 for a similar idea.

Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry/maths
BrainBench MVP for HTML and JavaScript
http://www.brainbench.com

-----Original Message-----
From: Marcin Lipiñski [mailto:apollo@...]
Sent: 08 August 2002 01:11

Hello,
Does anybody know what's the name of numbers which are prime themselves and
their binary representation treated as if it was decimal is also prime?
e.g. 3 is such number because it's prime and in binary system it's 11
(eleven in decimal - prime).
And maybe there is no name for this property? Does anyone know some bigger
primes of this property?
Regards,
Marcin

=========
'Why do you physicists always need so expensive equipment?
Faculty of Mathematics requires money only for paper,
pencils and waste-paper baskets, and Faculty of Philosophy
is even better - there's no need even for paper-waste baskets.'
Written by anonymous dean of an university.

[Non-text portions of this message have been removed]

Unsubscribe by an email to: primenumbers-unsubscribe@egroups.com
The Prime Pages : http://www.primepages.org

Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/
• ... their binary representation treated as if it was decimal is also prime? Dunno. multi-base prime ? Makes me think of a conjecture - prove that every
Message 3 of 3 , Aug 11, 2002
>Does anybody know what's the name of numbers which are prime themselves and
their binary >>representation treated as if it was decimal is also prime?

Dunno. 'multi-base prime'? Makes me think of a conjecture - prove that every
prime in base10, when expressed in some other base is also a prime when cast
in base10
It's easy to prove:
every prime in base (prime-1) is expressed as 11 which is obviously prime
in base10. The same for every number.
Regards,

Which may be called 'trivial'. Is it true for all primes in a non-trivial
base? P.S. I consider base (prime+k) trivial too.
Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry/maths
BrainBench MVP for HTML and JavaScript
http://www.brainbench.com

-----Original Message-----
From: Marcin Lipinski [mailto:apollo@...]
Sent: 11 August 2002 01:11
To: Jon Perry

----- Original Message -----
From: Jon Perry
Sent: Thursday, August 08, 2002 7:15 PM

>Does anybody know what's the name of numbers which are prime themselves
and
their binary >>representation treated as if it was decimal is also
prime?

Dunno. 'multi-base prime'? Makes me think of a conjecture - prove that
every
prime in base10, when expressed in some other base is also a prime when
cast
in base10
It's easy to prove:
every prime in base (prime-1) is expressed as 11 which is obviously
prime in base10. The same for every number.
Regards,
Marcin

[Non-text portions of this message have been removed]
Your message has been successfully submitted and would be delivered to recipients shortly.