[seqfan] Re: (no subject)

Allan Wechsler acwacw at gmail.com
Wed Dec 6 23:56:45 CET 2017


Now that OEIS is back up, I can report that the difference between
https://oeis.org/A005109 and https://oeis.org/A058383 is that the former
permits either or both of the exponents to be 0, while the latter insists
that both exponents are positive. The former are the kind called "Pierpont
primes".

On Wed, Dec 6, 2017 at 3:46 PM, <israel at math.ubc.ca> wrote:

> Naively one might expect: for any b > 0 there should be infinitely many a
> making it prime, and for any a > 0 there should be infinitely many b making
> it prime. But of course none of this is likely to be provable with current
> technology.
>
> Cheers,
> Robert
>
>
> On Dec 6 2017, Hugo Pfoertner wrote:
>
> In the range 1<=a,b<=500 there are 2111 primes of this form. Large
>> examples: 1+(2^498)*(3^493) or 1+(2^994)*(3^993). Why should there be a
>> limit?
>>
>> Hugo Pfoertner
>>
>> On Wed, Dec 6, 2017 at 6:51 PM, Frank Adams-Watters via SeqFan <
>> seqfan at list.seqfan.eu> wrote:
>>
>> Is https://oeis.org/A058383 (Primes of form 1+(2^a)*(3^b)) infinite?
>>>
>>> Franklin T. Adams-Watters
>>>
>>>
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>>> Seqfan Mailing list - http://list.seqfan.eu/
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>>>
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>>
>>
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> Seqfan Mailing list - http://list.seqfan.eu/
>



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