Prime related questions
Robert Israel
israel at math.ubc.ca
Sun Jun 3 22:57:10 CEST 2007
Please note that the usual term in English is "digits",
not "ciphers".
Cheers,
Robert Israel
On Sun, 3 Jun 2007, xordan wrote:
> Hello:
> You wrote:
> "Also, I was surprised to find that this seq wasn't already in the
> OEIS:
> n such that 10^n + prime(n) is prime..."
>
> The sequence A125148, of which I am the author, was modified by
> Klaus
> Brockhaus so that it could remain in OEIS, but originally that
> sequence was
> the following one:
>
> Prime Numbers that p = (10^x*z)+Y where Y it is an odd number
> prime or
> composite not divisible for 5 and x is equal or bigger that the
> quantity of
> ciphers of Y.
>
> Originally I deduced it for the odd composites , in way of
> demonstrating
> that for any combination of ciphers that they finish in 1,3,7, or 9
> it is
> possible to find a prime number adding a power of 10 equal or
> bigger than
> the ciphers cuantity of Y multiplied for a number bigger than 0.
> Example:
> 9 are the first odd composite number but 10^1*1+9=19
> 21 are the second odd composite number (not divisible for 5) but
> 10^2*4+21=421
> 27 are the third add composite (not divisible for 5) but
> 10^2*1+27=127.
> etc..
> In:
> http://primes.utm.edu/curios/page.php?number_id=6894&submitter=Xordan
> http://primes.utm.edu/curios/page.php?number_id=6983&submitter=Xordan
> you find the numbers:
> 28123456789
> The first prime number ending with all the ciphers (1 to 9) in
> order, and:
> 212345678987654321
> The first prime number ending with all the ciphers (1 to 9 to 1) in
> palindromic order.
>
> These numbers were obtained form that algorithm, besides other
> curiosities
> that I have not remitted like:
> 11987654321234567879
> The first prime number ending with all the ciphers (9 to 1 to 9)
> in
> palindromic order.
> Hope you find some resemblance...
> Greetings
>
> XORDAN
> Original in spanish, translated bysoftware
> .2007/6/3, Jason Earls <jcearls at cableone.net>:
>>
>> Dear Seqfans,
>>
>> I recently found these twin probable primes:
>>
>> 2357*2^7532+105525
>> 2357*2^7532+105527
>> (2271 digits)
>>
>> Anyone know of databases that keep track of these? They shouldn't
>> be in
>> the
>> OEIS, should they?
>>
>> Also, I was surprised to find that this seq wasn't already in the
>> OEIS:
>>
>> n such that 10^n + prime(n) is prime.
>> 2,4,27,63,756,899,
>>
>> I used PFGW to check up to 8000 and didn't find anymore.
>>
>> Worth submitting?
>>
>> Regards,
>> Jason
>> ======
>> Check out my novel, Red Zen:
>> http://tinyurl.com/2ylpml
>>
>>
>>
>>
>
>
> --
> xordan at hotmail.com
> xordan_co at yahoo.com
> xordan.tom at gmail.com
>
More information about the SeqFan
mailing list