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-   -   A Sierpinski/Riesel-like problem (https://www.mersenneforum.org/showthread.php?t=21839)

sweety439 2020-01-29 08:20

1 Attachment(s)
R298 tested to n=1024.

k = m^2 and m == 5 or 8 mod 13 proven composite by partial algebraic factors.

sweety439 2020-01-29 08:21

1 Attachment(s)
R303 tested to n=1024.

sweety439 2020-01-29 08:23

1 Attachment(s)
Add R215 file, since R215 also have k=2 remain at n=1024.

sweety439 2020-01-29 08:26

Reserve R211, also an interesting base like R106, since 211-1 = 2*3*5*7, there are many possible divisors (i.e. gcd(k-1,b-1)).

sweety439 2020-01-29 08:29

1 Attachment(s)
R211 tested to n=1024

k = m^2 and m == 23 or 30 mod 53 proven composite by partial algebraic factors (however, since the CK for this base is only 100, thus no k's proven composite by partial algebraic factors).

sweety439 2020-01-29 08:30

Reserve R181, since all Riesel conjectures <=180 with small CK were already tested.

sweety439 2020-01-29 08:31

1 Attachment(s)
R181 tested to n=1024

k = m^2 and m == 5 or 8 mod 13 proven composite by partial algebraic factors (however, since the CK for this base is only 25, thus no k's proven composite by partial algebraic factors).

sweety439 2020-01-29 08:32

Take S211 and S181

sweety439 2020-01-29 08:35

2 Attachment(s)
S211 and S181 both tested to n=1024, S181 is proven.

sweety439 2020-01-29 08:36

Take SR243 and SR729

sweety439 2020-01-29 09:11

4 Attachment(s)
All tested to n=1024.

k's that proven composite by algebra factors:

R243:

k = m^5
k = m^2 with m = 11 or 50 mod 61

R729:

k = m^2
k = m^3

S243:

k = m^5

S729:

k = m^3


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