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Re: pi,e,phi as prime integers Re: Chapt3 forming Finite Galois Field
#1165 Correcting Math 3rd ed
Posted:
Nov 20, 2011 4:42 PM
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Alright, all I need is one prime for a Galois Finite Field theory. And
I have it
in 314159..321 at 10^601. But that is the starting of the three zeroes
in a row
in pi at 10^603. That means Infinity is not a borderline but a
borderband, like a
bandwidth in electronics. This is a little surprize to me that
pi,e,phi would have
a prime at the Start of pi with three zero digits in a row.
But just to be sure, I had the Computer look for a prime at the End of
the block
of three zeroes in a row
314159..0005
271828..3012
161803..8610
To search for a prime in
314159..00RS
271828..30RS
161803..86RS
{{0, 2, 11, 2},
{1, 7, 96731, u},
{2, 2, 2, 2},
{3, 3, 109, 3},
{4, 2, 2, 2},
{5, 5, 3, 5},
{6, 2, 2, 2},
{7, 11, 13, u},
{8, 2, 2, 2},
{9, 3, 610271, 3},
{10, u, 17, 34327},
{11, 13, 3, 211},
{12, 2, 2, 2},
{13, u, 1777, 157},
{14, 2, 2, 2},
{15, 3, 5, 3},
{16, 2, 2, 2},
{17, 61949, 3, 2269},
{18, 2, 2, 2},
{19, 1193, 1237, 11},
{20, 2, 2, 2},
{21, 3, 257, 3},
{22, 2, 2, 2},
{23, u, 3, 7},
{24, 2, 2, 2},
{25, 5, 5, 5},
{26, 2, 2, 2},
{27, 3, 17, 3},
{28, 2, 2, 2},
{29, 7, 3, u},
{30, 3, 41, 3},
{31, u, 19, 883},
{32, 2, 2, 2},
{33, 3, 11, 3},
{34, 2, 2, 2},
{35, 5, 3, 5},
{36, 2, 2, 2},
{37, 13, 47, 7},
{38, 2, 2, 2},
{39, 3, 7, 3},
{40, 2, 2, 2},
{41, 23, 3, 11},
{42, 2, 2, 2},
{43, 7, u, u},
{44, 2, 2, 2},
{45, 3, 5, 3},
{46, 2, 2, 2},
{47, 387007, 3, 31},
{48, 2, 2, 2},
{49, u, 1091177, 29},
{50, 5, 3, 5},
{51, 3, 43, 3},
{52, 2, 2, 2},
{53, 3793, 3, 3177553},
{54, 2, 2, 2},
{55, 5, 5, 5},
{56, 2, 2, 2},
{57, 3, 23, 3},
{58, 2, 2, 2},
{59, 17, 3, 41},
{60, 2, 2, 2},
{61, 47, 17, 23},
{62, 2, 2, 2},
{63, 3, 37, 3},
{64, 2, 2, 2},
{65, 5, 3, 5},
{66, 2, 2, 2},
{67, 107, 7, 13},
{68, 2, 2, 2},
{69, 3, 19, 3},
{70, 1289, 30559, 97},
{71, 7, 3, 67},
{72, 2, 2, 2},
{73, 11, 127, 127},
{74, 2, 2, 2},
{75, 3, 5, 3},
{76, 2, 2, 2},
{77, 37, 3, 229},
{78, 2, 2, 2},
{79, 41, u, 7},
{80, 2, 2, 2},
{81, 3, 7, 3},
{82, 2, 2, 2},
{83, u, 3, u},
{84, 2, 2, 2},
{85, 5, 5, 5},
{86, 2, 2, 2},
{87, 3, 59, 3},
{88, 2, 2, 2},
{89, 13, 3, 17},
{90, 3, 631, 3},
{91, u, 29, 4027},
{92, 2, 2, 2},
{93, 3, u, 3},
{94, 2, 2, 2},
{95, 5, 3, 5},
{96, 2, 2, 2},
{97, u, 31, 2539},
{98, 2, 2, 2},
{99, 3, 11, 3}}
Out here in 10^603 we expect the primes to be separated on average of
approximately 1200
units spaced apart, so to find just one prime is to be expected.
However, I was expecting
the prime in pi,e,phi to be at the End, not the start of 601,602,603.
Archimedes Plutonium
http://www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
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