Forum: Number Theory Discussion Group
2022-05-20, 00:54
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Replies: 14
Views: 850
Drop the exclusion of primes. Say...
Drop the exclusion of primes. Say "representations" rather than "compositions". The meaning of "different" may be different from what you think it is.Happy googling!
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Forum: Lounge
2022-05-20, 00:43
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Replies: 1,175
Views: 115,733
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Forum: Soap Box
2022-05-19, 00:54
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Replies: 107
Views: 12,554
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Forum: Lounge
2022-05-18, 13:26
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Replies: 1,691
Views: 192,597
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Forum: Soap Box
2022-05-18, 12:02
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Replies: 905
Views: 85,546
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Forum: Lounge
2022-05-18, 11:25
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Replies: 1,691
Views: 192,597
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Forum: Miscellaneous Math
2022-05-18, 02:31
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Replies: 5
Views: 336
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Forum: Lounge
2022-05-17, 14:26
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Replies: 1,691
Views: 192,597
COVID has killed a million people here in the...
COVID has killed a million people here in the good ol' USA (official cause of death as listed on death certificates).
How many may have died of other things, with COVID as a contributing factor,...
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Forum: Soap Box
2022-05-17, 13:12
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Replies: 905
Views: 85,546
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Forum: Soap Box
2022-05-15, 12:46
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Replies: 905
Views: 85,546
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Forum: Miscellaneous Math
2022-05-14, 16:50
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Replies: 557
Views: 64,443
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Forum: Factoring
2022-05-14, 13:28
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Replies: 17
Views: 616
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Forum: Astronomy
2022-05-13, 01:33
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Replies: 92
Views: 12,961
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Forum: chalsall
2022-05-12, 02:05
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Replies: 24
Views: 851
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Forum: chalsall
2022-05-11, 11:41
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Replies: 24
Views: 851
I have mentioned before, e.g. here...
I have mentioned before, e.g. here (https://www.mersenneforum.org/showpost.php?p=568827&postcount=1414) that people have been getting brainwashed for decades. I would add Rush Limbaugh and other...
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Forum: And now for something completely different
2022-05-10, 11:59
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Replies: 4
Views: 98
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Forum: chalsall
2022-05-09, 12:07
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Replies: 24
Views: 851
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Forum: Lounge
2022-05-09, 01:05
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Replies: 1
Views: 82
Happy Mother's Day
On the first Mother's Day without her, I put a small portion of her ashes in a neighbor's garden she was fond of (with their approval). My sisters and I scattered small portions of her ashes in...
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Forum: Number Theory Discussion Group
2022-05-08, 02:26
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Replies: 14
Views: 850
A representation of a cofactor of a sum of two...
A representation of a cofactor of a sum of two squares can be found by finding the representations of the known factors and dividing out.
I find this easiest to do using the complex factors a +...
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Forum: Number Theory Discussion Group
2022-05-07, 12:05
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Replies: 14
Views: 850
If you want to know the decomposition(s) of a...
If you want to know the decomposition(s) of a composite number into a sum of two squares, in general you need to factor the number. You certainly need the factorization if you want to be sure of...
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Forum: Miscellaneous Math
2022-05-06, 15:06
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Replies: 11
Views: 523
Assuming a multinomial distribution with 32...
Assuming a multinomial distribution with 32 random variates X1, ... X32, each with probability 1/32, we have (https://mathworld.wolfram.com/MultinomialDistribution.html) for 46 trials that the mean...
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Forum: Miscellaneous Math
2022-05-06, 13:40
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Replies: 29
Views: 1,028
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...
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Forum: Lounge
2022-05-06, 12:08
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Replies: 18
Views: 3,200
"Really desperate" might be more accurate.
...
"Really desperate" might be more accurate.
It is commonly said of such situations, "If they're going to treat you this way when you're applying, just think how they'll treat you if you take the...
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Forum: Miscellaneous Math
2022-05-06, 12:03
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Replies: 29
Views: 1,028
Algebraic factorization can also prove...
Algebraic factorization can also prove compositeness.
If p and q are prime, 2^(p*q) - 1 has 2^p - 1 and 2^q - 1 as proper factors, regardless of whether these factors are prime. If p > 10^8 and q...
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Forum: Miscellaneous Math
2022-05-06, 02:01
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Replies: 11
Views: 523
Actually, the question hasn't even been asked...
Actually, the question hasn't even been asked yet. You haven't explained what the 32 options are.
You've apparently got some "random variable" which assumes the values 1 to 32. You seem to want...
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