
tWebber
Prime pairs.
All positive prime numbers, with the exception of 2 and 3 can be found to lie on two parallel lines. 6x + 5 = y1 and 6x + 7 = y2.
Now not every number on those two lines are prime. But all the prime numbers, except 2 and 3 in the sequence x=0 , x=1, etc.
Where x=0, y1=5, y2=7
x=1, y1=11, y2=13
x=2, y1=17, y2=19
etc.
. . . the Gospel of Christ, for it is [the] power of God to salvation to every [one] believing, . . .  Romans 1:16.
. . . that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: . . .  1 Corinthians 15:3, 4.
Whosoever believeth that Jesus is the Christ is born of God: . . .  1 John 5:1.

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tWebber
Originally Posted by
37818
All positive prime numbers, with the exception of 2 and 3 can be found to lie on two parallel lines. 6x + 5 = y1 and 6x + 7 = y2.
... because all numbers which are equivalent to 0/2/4 {mod 6} are divisible by 2, and all numbers which are equivalent to 3 {mod 6} are divisible by three, so all prime numbers except 2 and 3 must be 1 or 5 {mod 6}.
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Originally Posted by
37818
All positive prime numbers, with the exception of 2 and 3 can be found to lie on two parallel lines. 6x + 5 = y1 and 6x + 7 = y2.
Now not every number on those two lines are prime. But all the prime numbers, except 2 and 3 in the sequence x=0 , x=1, etc.
Where x=0, y1=5, y2=7
x=1, y1=11, y2=13
x=2, y1=17, y2=19
etc.
A reasonably well known and provable result. Though normally expressed as 6q + 1.
Jim
Jorge's trueorigins paper: "...it is known that other volcanic features match what is usually associated with impact craters including ... shatter cones and crystal deformations"
Planetary Science Institute: "Shatter cones … are found in only two places on Earth, 1) in nuclear test sites and 2) meteorite impact structures. They are formed as a result of the high pressure, high velocity shock wave ...
maximum pressures from 45 to 200 times greater than found in volcanic events (2>20 Gpa)

Originally Posted by
Roy
... because all numbers which are equivalent to 0/2/4 {mod 6} are divisible by 2, and all numbers which are equivalent to 3 {mod 6} are divisible by three, so all prime numbers except 2 and 3 must be 1 or 5 {mod 6}.
missed this reply  sorry. About the same summary I was going to give :)
The statement might look a bit mysterious to those not familiar with primes, but it's not really much different than saying all primes after 2 are odd.
Jmi
Jorge's trueorigins paper: "...it is known that other volcanic features match what is usually associated with impact craters including ... shatter cones and crystal deformations"
Planetary Science Institute: "Shatter cones … are found in only two places on Earth, 1) in nuclear test sites and 2) meteorite impact structures. They are formed as a result of the high pressure, high velocity shock wave ...
maximum pressures from 45 to 200 times greater than found in volcanic events (2>20 Gpa)

tWebber
Originally Posted by
oxmixmudd
A reasonably well known and provable result. Though normally expressed as 6q + 1.
Jim
Originally Posted by
oxmixmudd
missed this reply  sorry. About the same summary I was going to give :)
The statement might look a bit mysterious to those not familiar with primes, but it's not really much different than saying all primes after 2 are odd.
Jmi
Well, 6q  1 and 6q +1 series are will known. So the two sets of numbers. 5 series incremented by 6 and the 7 series incremented by 6.
. . . the Gospel of Christ, for it is [the] power of God to salvation to every [one] believing, . . .  Romans 1:16.
. . . that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: . . .  1 Corinthians 15:3, 4.
Whosoever believeth that Jesus is the Christ is born of God: . . .  1 John 5:1.

tWebber
Originally Posted by
Roy
... because all numbers which are equivalent to 0/2/4 {mod 6} are divisible by 2, and all numbers which are equivalent to 3 {mod 6} are divisible by three, so all prime numbers except 2 and 3 must be 1 or 5 {mod 6}.
Yep.
. . . the Gospel of Christ, for it is [the] power of God to salvation to every [one] believing, . . .  Romans 1:16.
. . . that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: . . .  1 Corinthians 15:3, 4.
Whosoever believeth that Jesus is the Christ is born of God: . . .  1 John 5:1.

Originally Posted by
37818
Well, 6q  1 and 6q +1 series are will known. So the two sets of numbers. 5 series incremented by 6 and the 7 series incremented by 6.
They are the same: 1 ==5 mod 6, 7 ==1 mod 6
Jim
Jorge's trueorigins paper: "...it is known that other volcanic features match what is usually associated with impact craters including ... shatter cones and crystal deformations"
Planetary Science Institute: "Shatter cones … are found in only two places on Earth, 1) in nuclear test sites and 2) meteorite impact structures. They are formed as a result of the high pressure, high velocity shock wave ...
maximum pressures from 45 to 200 times greater than found in volcanic events (2>20 Gpa)

Post Thanks / Like  1 Amen

tWebber
Originally Posted by
oxmixmudd
They are the same: 1 ==5 mod 6, 7 ==1 mod 6
Jim
The mod (6q1,6) = 5 and mod (6q+1, 6) = 1. So how is that the same?
Now 6q  1 series if q = 6aba+b those numbers are never prime.
With 6q + 1 series if q = 6abab or q = 6ab+a+b those numbers are never prime.
a and b of course being whole numbers.
. . . the Gospel of Christ, for it is [the] power of God to salvation to every [one] believing, . . .  Romans 1:16.
. . . that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: . . .  1 Corinthians 15:3, 4.
Whosoever believeth that Jesus is the Christ is born of God: . . .  1 John 5:1.

tWebber
Originally Posted by
37818
The mod (6q1,6) = 5 and mod (6q+1, 6) = 1. So how is that the same?
Now 6q  1 series if q = 6aba+b those numbers are never prime.
With 6q + 1 series if q = 6abab or q = 6ab+a+b those numbers are never prime.
a and b of course being whole numbers.
OK math basic lesson. What's the big deal?
Glendower: I can call spirits from the vasty deep.
Hotspur: Why, so can I, or so can any man;
But will they come when you do call for them? Shakespeare’s Henry IV, Part 1, Act III:
go with the flow the river knows . . .
Frank
I do not know, therefore everything is in pencil.

tWebber
Originally Posted by
shunyadragon
OK math basic lesson. What's the big deal?
Ok. Find a site that explains all primes greater than 3 are found in only in the two number sets. 6q 1 set and 6q + 1 set.
Never mind, _here_ is a link to a paper written on this.
. . . the Gospel of Christ, for it is [the] power of God to salvation to every [one] believing, . . .  Romans 1:16.
. . . that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: . . .  1 Corinthians 15:3, 4.
Whosoever believeth that Jesus is the Christ is born of God: . . .  1 John 5:1.