Forum: FactorDB
2022-05-22, 23:13
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Replies: 545
Views: 101,332
P-1...
P-1 (https://en.wikipedia.org/wiki/Pollard%27s_p_%E2%88%92_1_algorithm) and P+1 (https://en.wikipedia.org/wiki/Williams%27s_p_%2B_1_algorithm) are "integer factoring" algorithm
N-1...
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Forum: And now for something completely different
2022-05-22, 23:00
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Replies: 129
Views: 32,817
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Forum: sweety439
2022-05-22, 08:51
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Replies: 417
Views: 33,557
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Forum: sweety439
2022-05-21, 23:14
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Replies: 417
Views: 33,557
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Forum: sweety439
2022-05-21, 08:46
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Replies: 35
Views: 1,746
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Forum: sweety439
2022-05-21, 08:14
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Replies: 35
Views: 1,746
When will 8*13^32020+183...
When will 8*13^32020+183 (http://factordb.com/index.php?id=1100000000490878060) (the largest minimal prime (https://primes.utm.edu/glossary/xpage/MinimalPrime.html) in base 13, see...
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Forum: FactorDB
2022-05-21, 07:34
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Replies: 545
Views: 101,332
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Forum: sweety439
2022-05-20, 22:20
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Replies: 2
Views: 141
A085398 (https://oeis.org/A085398)(n) is much...
A085398 (https://oeis.org/A085398)(n) is much large than all A085398 (https://oeis.org/A085398)(k) for all k<=n for:
* n=115, and if skip n=115, then n=119 (just larger than 115) is such n
*...
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Forum: sweety439
2022-05-19, 20:13
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Replies: 1,268
Views: 100,608
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Forum: sweety439
2022-05-19, 06:43
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Replies: 5
Views: 2,469
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: 2,469
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: 100,608
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Forum: sweety439
2022-05-17, 19:38
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Replies: 417
Views: 33,557
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: 17,077
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Forum: FactorDB
2022-05-16, 21:54
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Replies: 440
Views: 83,334
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: 545
Views: 101,332
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: 4,648
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Forum: sweety439
2022-05-14, 13:36
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Replies: 3
Views: 282
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Forum: sweety439
2022-05-13, 21:23
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Replies: 13
Views: 996
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: 74,089
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: 2
Views: 141
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: 2
Views: 141
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: 74,089
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: 88,971
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Forum: sweety439
2022-05-12, 12:59
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Replies: 329
Views: 41,168
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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