Consider the primes arranged in the usual order 2, 3, 5, 7... It is conjectublack that beginning with 3, every other prime can be composed of the addition and subtraction of all smaller primes (and 1), each taken once. For example: 3 = 1 + 2 7 = 1 - 2 + 3 + 5 13 = 1 + 2 - 3 - 5 + 7 + 11 = -1 + 2 + 3 + 5 - 7 + 11 A. Show that this also holds for 19. B. Show that this doesn't hold for the first "inbetween" prime 5

Leila Jennings 2022-07-28 Answered
Consider the primes arranged in the usual order 2, 3, 5, 7... It is conjectublack that beginning with 3, every other prime can be composed of the addition and subtraction of all smaller primes (and 1), each taken once. For example:
3 = 1 + 2
7 = 1 - 2 + 3 + 5
13 = 1 + 2 - 3 - 5 + 7 + 11 = -1 + 2 + 3 + 5 - 7 + 11
A. Show that this also holds for 19.
B. Show that this doesn't hold for the first "inbetween" prime 5
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

yatangije62
Answered 2022-07-29 Author has 16 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-01-28
Whether T is a linear transformation, that is T:C1[1,1]R1 defined by T(f)=f(0)
asked 2022-05-09
Triangle law of vector addition vs Pythagorean theorem
Suppose there is a vector a of magnitude 5 units to the east, another vector b of magnitude 6 units to the north. To find magnitude of vector a + vector b,
By the triangle law of vector addition, it is 5 + 6 units = 11 units.
By Pythagorean theorem, it is ( 5 2 + 6 2 ) = ( 61 )
Which answer is right? If so, why is the other wrong?
Thank you!
asked 2021-07-26
To find: Whether the given triangles are congruent or not, to write the corresponding.
Given information:
asked 2021-01-10
Area and Perimeter Formulas with Examples Area: — Total space enclosed by the boundary of a plane. Perimeter: — Length of the border around any enclosed plane.
asked 2022-07-16
Finding the volume of the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0), (0,0,2). I get 8; answer is 4/3.
In this case, the tetrahedron is a parallelepiped object. If the bounds of such an object is given by the vectors A, B and C then the area of the object is A ( B × C ). Let V be the volume we are trying to find.
x 2 = 6 y 2 z 2 A = ( 2 , 0 , 0 ) ( 0 , 0 , 0 ) = ( 2 , 0 , 0 ) B = ( 0 , 2 , 0 ) ( 0 , 0 , 0 ) = ( 0 , 2 , 0 ) C = ( 0 , 0 , 2 ) ( 0 , 0 , 0 ) = ( 0 , 0 , 2 ) V = | a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 | = | 2 0 0 0 2 0 0 0 2 | = 2 | 2 0 0 2 | = 2 ( 4 0 ) = 8
However, the book gets 4 3
asked 2021-02-21
Solve the linear congruence
7x+3y10(mod16)
asked 2021-07-11
To find: the name of the corresponding parts in the congruent triangles. And complete the congruence statement.
Given:
The congruence statement is FGH.