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Explain what it means for a number a to be a pseudoprime to the base b. Show that 1387 is a pseudoprime to the base 2...
Please explain each step carefully with any theorems that you
use. Cheers!
(1) Is 1387 prime? (6 marks) (a) Show that 1387 is a base 2 pseudoprime. (b) Show that 1387 is actually composite by using Miller's test in base 2.
Show that 217 is a pseudoprime to the base 5 but is not a strong pseudoprime to the base 5.
(b) Prove that n is an odd pseudoprime number if and only if 2"-1-1 mod n.
(b) Prove that n is an odd pseudoprime number if and only if 2"-1-1 mod n.
Find the smallest strong pseudoprime to the base 3 in the interval [700, 800]. Kindly show all trials without using any programming language code.
please help me figure out what the compound is.
thanks
MASS % of Base Peak 1387 S47 677 957 123 50 60 70 80 90 100 110 120 130 140 awamp % Transmittance -2958 -2870 -16701 -13811 -1246 -903 STS TTT 4000 3000 1000 2000 Wavenumber (cm-') 'H NMR 300 MHz N 1750 1740 Hz 640 Hz 570 560 Hz 300 290 Hz 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 ppm 13C/DEPT NMR 75.5 MHz 200 180...
3.) will use b = 5 c = 25. Recall, a number expressed in base b is a sequence of digits e.g. d3 d2 d1 d0 where each of the digits is between 0 and b-1. The value of d3 d2 d1 d0 would be d3 × b3 + d2 × b2 +d1 × b1 +d0 × b0 . In the case where b is bigger than 10, some of the digits will be letters. For example, if b is...
2. [15% Convert the number 1010 to number systems with base of 11, 1, 21. Show all work 3. [25% Convert 173 from decimal number system to a number system with base 11/5 (eleven fifths)
2. [15% Convert the number 1010 to number systems with base of 11, 1, 21. Show all work 3. [25% Convert 173 from decimal number system to a number system with base 11/5 (eleven fifths)
Number Representation and Calculation As you are going through the sections in Chapter 4, you will notice that we are working with different bases. Please explain to the class what it means to: Rewrite a number to a different base Add two or three numbers to a different base Subtract two numbers in a different base Why do we learn to work with numbers in different bases? Please provide examples of your answers. To begin the discussion, click on the...
Interpret the correlation coefficient, explain what the number
means
Data obtained:
Fa 2 CTol 2 io-12 01 01000000011110100010000 55225222225222552352252 2 23442642345364458622232 0 of BH 57890 1 2 3 4 5 6 7 8 9
just question 3
2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite series Σ a, to converge to the sum L E R. (b) For the series 2ー, write down a formula for the kth partial sun 5.- (c) Using your answers to parts (a) and (b), show that Σ n'tn-1. Hint for Part (b: what is T12 -1 91 nn+1 We were unable to transcribe this image
2. (9 marks) This...