Primes New guess

A prime is a topologic even square, I factorize (as shown)

C² - 1 = (C-1)(C+1) , C = n odd

C² =

Then sf n is a prime :

Example (to the right) n=5

N1 =

N2 =

N1 is dividised by 5... then 5 is a prime

It's only a guess that still to be harly to prove , is the new formed rectangle still dividable by n and the modulo still 0

n=5

Matrice

N odd (for n=2 this one = modulo of 0.41?!!!)

Column mod-1 = modulo of / n

Colonne mod+1 = modulo of /n

If one of these column is = to 0 then number is a prime

Colonne -1 ou +1

Witch column produce the prime ? (side of the new rectangle) and was dividable by n

These columns show the OR separate of this new guess

n			mod -1	mod+1	-1	+1
3	1	3	1	0		+1
5	3	5	3	0		+1
7	7	9	0	2	-1
9	15	17	6	8
11	31	33	9	0		+1
13	63	65	11	0		+1
15	127	129	7	9
17	255	257	0	2	-1
19	511	513	17	0		+1
21	1023	1025	15	17
23	2047	2049	0	2	-1
25	4095	4097	20	22
27	8191	8193	10	12
29	16383	16385	27	0		+1
31	32767	32769	0	2	-1
33	65535	65537	30	32
35	131071	131073	31	33
37	262143	262145	35	0		+1
39	524287	524289	10	12
41	1048575	1048577	0	2	-1
43	2097151	2097153	41	0		+1
45	4194303	4194305	33	35
47	8388607	8388609	0	2	-1
49	16777215	16777217	7	9
51	33554431	33554433	1	3
53	67108863	67108865	51	0		+1
55	134217727	134217729	17	19
57	268435455	268435457	54	56
59	536870911	536870913	57	0		+1
61	1073741823	1073741825	59	0		+1
63	2147483647	2147483649	1	3
65	4294967295	4294967297	60	62
67	8589934591	8589934593	65	0		+1
69	17179869183	17179869185	24	26
71	34359738367	34359738369	0	2	-1
73	68719476735	68719476737	0	2	-1
75	137438953471	137438953473	46	48
77	274877906943	274877906945	24	26
79	549755813887	549755813889	0	2	-1
81	1099511627775	1099511627777	69	71
83	2199023255551	2199023255553	81	0		+1
85	4398046511103	4398046511105	3	5
87	8796093022207	8796093022209	55	57
89	17592186044415	17592186044417	0	2	-1
91	35184372088831	35184372088833	56	58
93	70368744177663	70368744177665	63	65
95	140737488355327	140737488355329	52	54
97	281474976710655	281474976710657	0	2	-1
99	562949953421311	562949953421313	82	84

In bold Primes

Prime numbers new guess