Perhaps this is a hint? The first message was sent on
Date: Fri, 1 Apr 2022 17:30:21 -0700 (PDT)
Guillermo
On Sat, 2 Apr 2022 at 12:57, John Cremona wrote:
>
>
> On Sat, 2 Apr 2022, 10:50 Andrew, wrote:
>
>> There does seem to be a problem:
>>
>> sage: k = 61*2^88+1 ; k
>>
On Sat, 2 Apr 2022, 10:50 Andrew, wrote:
> There does seem to be a problem:
>
> sage: k = 61*2^88+1 ; k
> 18878585599102049192211644417
> sage: k.is_prime()
> True
> sage: k.factor()
> 18878585599102049192211644417
> sage: k == 61*2^88+1
> True
> sage: GF(k)
> Finite Field of size
There does seem to be a problem:
sage: k = 61*2^88+1 ; k
18878585599102049192211644417
sage: k.is_prime()
True
sage: k.factor()
18878585599102049192211644417
sage: k == 61*2^88+1
True
sage: GF(k)
Finite Field of size 18878585599102049192211644417
On Saturday, 2 April 2022 at 6:55:44 pm UTC+11
It seems this number is a prime number and 18878585599102049192211644417 =
61*2^88+1 is not a factorization of the number. Hence, everything is fine.
Am I missing something here?
cheers,
Andry
Le sam. 2 avr. 2022 à 02:33, carlos ortiz a écrit :
> The number:
>
> 18878585599102049192211644417 =
Which version of sage are you using?
In a console I get
sage: k=ZZ(18878585599102049192211644417)
sage: k.is_prime()
True
sage: GF(k)
Finite Field of size 18878585599102049192211644417
Le 02/04/2022 à 02:30, carlos ortiz a écrit :
The number:
18878585599102049192211644417 = 61*2^88+1
but
The number:
18878585599102049192211644417 = 61*2^88+1
but in sage:
k=ZZ(18878585599102049192211644417)
k.is_prime()
True
k.factor()
18878585599102049192211644417
F = FiniteField(18)
raise ValueError("the order of a finite field must be a prime power")
Howeve,
