Forum: Lounge
2022-05-22, 13:51
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Replies: 36
Views: 2,975
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Forum: sweety439
2022-05-22, 02:57
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Replies: 417
Views: 33,517
Assuming that n = X1X1 is a positive integer...
Assuming that n = X1X1 is a positive integer congruent to 1 (mod 12), then
12^{\varphi(n)}\;-\;1
is a base twelve palindromic number divisible by n. It may not be the smallest such.
Nil...
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Forum: Lounge
2022-05-21, 16:40
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Replies: 1,178
Views: 116,064
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Forum: Miscellaneous Math
2022-05-21, 13:58
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Replies: 8
Views: 458
No. The number of k-digit blocks of decimal...
No. The number of k-digit blocks of decimal digits is 10^k. The number of k-digit endings of 2^n, n ≥ k, is 4*5^(k-1). (4*5^(k-1))/10^k is a tiny, tiny fraction if k is at all large. For k = 40,...
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Forum: Lounge
2022-05-21, 03:02
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Replies: 1,178
Views: 116,064
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Forum: Number Theory Discussion Group
2022-05-20, 00:54
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Replies: 14
Views: 887
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: 1,178
Views: 116,064
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Forum: Soap Box
2022-05-19, 00:54
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Replies: 107
Views: 12,624
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Forum: Lounge
2022-05-18, 13:26
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Replies: 1,691
Views: 193,179
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Forum: Soap Box
2022-05-18, 12:02
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Replies: 905
Views: 85,818
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Forum: Lounge
2022-05-18, 11:25
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Replies: 1,691
Views: 193,179
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Forum: Miscellaneous Math
2022-05-18, 02:31
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Replies: 8
Views: 458
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Forum: Lounge
2022-05-17, 14:26
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Replies: 1,691
Views: 193,179
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: 85,818
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Forum: Soap Box
2022-05-15, 12:46
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Replies: 905
Views: 85,818
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Forum: Miscellaneous Math
2022-05-14, 16:50
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Replies: 557
Views: 64,741
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Forum: Factoring
2022-05-14, 13:28
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Replies: 17
Views: 668
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Forum: Astronomy
2022-05-13, 01:33
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Replies: 92
Views: 13,091
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Forum: chalsall
2022-05-12, 02:05
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Replies: 24
Views: 876
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Forum: chalsall
2022-05-11, 11:41
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Replies: 24
Views: 876
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: 876
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Forum: Lounge
2022-05-09, 01:05
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Replies: 1
Views: 84
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: 887
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: 887
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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