Forum: Miscellaneous Math
2020-07-18, 09:13
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Replies: 1
Views: 2,947
Group theory
How come there is a number theory discussion group but no group theory discussion group?
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Forum: Miscellaneous Math
2020-07-18, 09:04
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Replies: 57
Views: 26,600
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Forum: Miscellaneous Math
2020-07-16, 04:36
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Replies: 57
Views: 26,600
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Forum: Miscellaneous Math
2020-07-14, 04:33
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Replies: 57
Views: 26,600
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Forum: Miscellaneous Math
2020-07-13, 13:55
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Replies: 57
Views: 26,600
A tentative question
Sorry;just proved that 23 is a non-residue of 7919 upto infinite order. This was done with aid of my paper "Euler's generalization of Fermat's theorem ( a further generalization)- Hawaii...
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Forum: Miscellaneous Math
2020-07-13, 13:23
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Replies: 57
Views: 26,600
A tentative question
Sorry;just proved that 23 is a non-residue of 7919 upto infinite order. This was done with aid of my paper "Euler's generalization of Fermat's theorem ( a further generalization)- Hawaii...
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Forum: Miscellaneous Math
2020-07-13, 07:05
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Replies: 3
Views: 2,558
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Forum: Miscellaneous Math
2020-07-10, 04:26
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Replies: 57
Views: 26,600
A tentative question
There seems to be no non-residues higher than quadratic order;is this related to Fermat's last theorem?
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Forum: Number Theory Discussion Group
2020-04-04, 05:47
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Replies: 0
Views: 4,867
A new type of Carmichael number
A special type of Carmichael number:
Let N' =p_1*p_2*p_3 be a 3 -prime factor Carmichael number
Now form two primes having form
K*(N'-1)+1; here k is a natural number.Call them P_1 and P_2
Then N...
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Forum: Number Theory Discussion Group
2020-02-02, 04:34
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Replies: 2
Views: 5,353
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Forum: Miscellaneous Math
2020-01-31, 12:39
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Replies: 3
Views: 2,558
Elliptic Carmichael numbers
I had a conjecture that the above (defined below) exist.
A set of 2 or more Carmichael numbers in which the smallest
and largest prime factors are common but the intervening
prime factors are...
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Forum: Number Theory Discussion Group
2019-09-24, 03:14
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Replies: 2
Views: 4,293
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Forum: Number Theory Discussion Group
2019-09-21, 05:40
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Replies: 1
Views: 4,702
Just combined 3 Carmichael numbers to form one...
Just combined 3 Carmichael numbers to form one Carmichael number; all three are of type (6m+1)(12m+1)(18m+1). 1729*294409*118901521 =60524817082337881.
Conjecture: There can be many Carmichael...
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Forum: Number Theory Discussion Group
2019-09-14, 13:11
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Replies: 1
Views: 4,702
Algorithm for combining Carmichael numbers
We can combine two Carmichael numbers to form another Carmichael number.
An example: 1729 = 7*13*19
294409 = 37*73*109
Both are of type (6m+1)(12m+1)(18m+1); we get the...
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Forum: Number Theory Discussion Group
2019-09-05, 10:43
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Replies: 0
Views: 3,428
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Forum: Miscellaneous Math
2019-08-26, 04:13
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Replies: 2
Views: 999
Complex Devaraj numbers
Recall that if N = p_1*p_2....p_r and if ((P_1-1)*(N-1)^(r-2)/((p_2-1)… (p_r-1)) is an integer then N is a Devaraj number. Q: are there complex Devaraj numbers? Yes here is an...
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Forum: Number Theory Discussion Group
2019-08-13, 04:43
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Replies: 2
Views: 4,293
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Forum: Number Theory Discussion Group
2019-08-11, 05:01
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Replies: 2
Views: 4,293
Continued product Carmichael numbers
Let me give an example of a set of continued product Carmichael numbers:
a)2465 = 5*17*29 b)278545 = 5*17*29*113 c)93969665=5*17*29*113*337 d)63174284545 = 5*17*29*113*337*673 and...
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Forum: Number Theory Discussion Group
2019-04-20, 05:47
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Replies: 1
Views: 4,532
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Forum: Number Theory Discussion Group
2019-04-19, 11:54
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Replies: 1
Views: 4,532
Random thoughts on RH
1) We can say that proving RH is equivalent to proving that
zeta(s + it) is a non trivial non-zero when the real part (s) is other than 1/2, irrespective of the imaginary part(t)
(to be...
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Forum: Number Theory Discussion Group
2018-12-01, 06:44
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Replies: 14
Views: 6,205
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Forum: Number Theory Discussion Group
2018-11-10, 05:17
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Replies: 1
Views: 2,292
P-adic inverses
It seems that, r, the number of prime factors of a Carmichael number is conjectured to be not bounded.
The two conjectures (that pertaining to k and that pertaining to r may be related I.e. if one...
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Forum: Number Theory Discussion Group
2018-11-08, 05:28
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Replies: 1
Views: 2,292
P-adic inverses
The concept of higher degree inverses has already been introduced in thread: a tentative
definition.
Conjecture: k, the degree of inverse of p, a prime number, is not bounded.
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Forum: Number Theory Discussion Group
2018-11-05, 04:16
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Replies: 14
Views: 6,205
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Forum: Number Theory Discussion Group
2018-11-04, 05:30
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Replies: 14
Views: 6,205
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