Forum: sweety439
2022-05-19, 20:13
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Replies: 1,268
Views: 99,956
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Forum: sweety439
2022-05-19, 06:43
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Replies: 5
Views: 2,460
Mersenne exponents up to 127 ...
Mersenne exponents up to 127 Wagstaff exponents up to 127
2 (only Mersenne exists, since its corresponding Wagstaff number is not integer)
3, 5, 7
11 (11 is Wagstaff...
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Forum: sweety439
2022-05-19, 06:35
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Replies: 5
Views: 2,460
MM2, MM3, MM5, MM7 are primes, and (conjectured)...
MM2, MM3, MM5, MM7 are primes, and (conjectured) MMp is composite if p>7.
WW3, WW5, WW7 are primes, and (conjectured) WWp is composite if p>7.
WM2, WM3, WM5, WM7 are primes (to satisfy the New...
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Forum: sweety439
2022-05-19, 00:30
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Replies: 1,268
Views: 99,956
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Forum: sweety439
2022-05-17, 19:38
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Replies: 413
Views: 33,366
OEIS sequences of smallest Proth primes...
OEIS sequences of smallest Proth primes (k*b^n+1), smallest Riesel primes (k*b^n-1), smallest dual Proth primes (b^n+k), smallest dual Riesel primes (b^n-k):
k smallest Proth primes...
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Forum: sweety439
2022-05-17, 19:28
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Replies: 74
Views: 17,032
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Forum: FactorDB
2022-05-16, 21:54
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Replies: 440
Views: 83,193
The generalized repunit probable prime,...
The generalized repunit probable prime, R2731(685) (http://factordb.com/index.php?id=1100000000491221598), N-1 (http://factordb.com/index.php?id=1100000000491221888) has 31.345% factored, all...
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Forum: FactorDB
2022-05-15, 14:14
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Replies: 541
Views: 100,842
There were many small composites < 10^18...
There were many small composites < 10^18 (https://archive.ph/9D4aU) (from a bug) in Oct 2021, and all of them had been deleted, but there were also many small primes < 10^18...
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Forum: Dobri
2022-05-14, 16:06
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Replies: 53
Views: 4,484
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Forum: sweety439
2022-05-14, 13:36
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Replies: 3
Views: 271
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Forum: sweety439
2022-05-13, 21:23
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Replies: 13
Views: 963
First holes:
b=2~401...
First holes:
b=2~401 (http://myfactorcollection.mooo.com:8090/cgi-bin/showFH?FBase=2&TBase=401&c0=)
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Forum: Factoring
2022-05-13, 20:14
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Replies: 485
Views: 73,882
Indeed, when I try to use N-1 proof...
Indeed, when I try to use N-1 proof (https://primes.utm.edu/prove/prove3_1.html) or N+1 proof (https://primes.utm.edu/prove/prove3_2.html) for the generalized repunit primes...
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Forum: sweety439
2022-05-12, 23:20
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Replies: 1
Views: 93
Strictly generalized repunit primes
Like the sense ...
Generalized Cullen primes base b: primes of the form n*b^n+1 (https://oeis.org/A240234)
Generalized Woodall primes base b: primes of the form n*b^n-1 (https://oeis.org/A240235)...
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Forum: sweety439
2022-05-12, 22:58
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Replies: 1
Views: 93
Curious of generalized repunit primes
Mersenne conjectured that for primes p <= 257, 2^p-1 is prime if and only if p = {2, 3, 5, 7, 13, 17, 19, 31, 67, 127, 257}, but this is not true, the correct one is: for primes p <= 257, 2^p-1 is...
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Forum: Factoring
2022-05-12, 22:05
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Replies: 485
Views: 73,882
89^145-1...
89^145-1 (http://factordb.com/index.php?id=1100000000008232208) is already fully factored.
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Forum: Factoring
2022-05-12, 22:04
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Replies: 86
Views: 88,876
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Forum: sweety439
2022-05-12, 12:59
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Replies: 329
Views: 40,845
The minimal prime in family 1{z} in base b...
The minimal prime in family 1{z} in base b (always minimal prime (start with b+1) base b) has length 2 if and only if the minimal prime in family 1{0}z in base b (always minimal prime (start with...
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Forum: sweety439
2022-05-12, 12:59
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Replies: 329
Views: 40,845
The possible length of a prime in the families...
The possible length of a prime in the families (in any base b) are: (the length is possible if and only if the corresponding polynomial of the base b satisfies the condition in Bunyakovsky conjecture...
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Forum: sweety439
2022-05-08, 14:14
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Replies: 329
Views: 40,845
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Forum: sweety439
2022-05-07, 12:39
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Replies: 329
Views: 40,845
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Forum: sweety439
2022-05-07, 10:56
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Replies: 4
Views: 141
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Forum: Cunningham Tables
2022-05-07, 10:55
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Replies: 56
Views: 36,144
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Forum: sweety439
2022-05-07, 08:51
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Replies: 25
Views: 1,474
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Forum: sweety439
2022-05-07, 08:44
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Replies: 4
Views: 141
Yet another trivial "do this"
There is a much smaller interesting number: (64*10^10906+53)/9 (http://factordb.com/index.php?id=1000000000008860930), with "only" 10907 digits, which is 7111...1117 with 10905 1's, and is the...
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Forum: Miscellaneous Math
2022-05-06, 12:45
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Replies: 29
Views: 1,022
Well, my article...
Well, my article (https://docs.google.com/document/d/e/2PACX-1vQct6Hx-IkJd5-iIuDuOKkKdw2teGmmHW-P75MPaxqBXB37u0odFBml5rx0PoLa0odTyuW67N_vn96J/pub) has many examples of algebraic factorization and...
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