Every Prime user should be aware that there is a new version of firmware. The new version applies to both emulator and calculator itself. For what I can see so far, all the bugs that I knew of have been removed. And CAS features have greatly expanded. You can either download the frirmware upgrade through the update functions in the virtual calculator or the connectivity kit. alternatively, you can download it directly from here:
ftp://ftp.hp.com/pub/calculators/Prime/
Here you can find the log of the changes:
HP Prime – Release Notes
Date Released: 2014/12/03
Internal Versions
Firmware Version: 2014 12 03 (6975)
Virtual Calculator Version: 2014 12 03 (6975)
Connectivity Kit: 2014 12 03 (6975)
Description
This release of the Prime Calculator firmware and associated PC software delivers significant new features and fixes outstanding issues. This document is not a complete list of all changes, but highlights specific items. All users of the HP Prime calculator are encouraged to upgrade for the best possible experience.
Primary focus in this release was enhancements to communication and wireless.
New Functionality (Connectivity Kit)
User interface refined and improved.
Much more reliable and capable communication.
Multiple antennas supported for wireless communication.
Progress bars are now shown for individual units during transfer data transfer.
Much nicer “firmware update” window  adds support for detection of multiple units and more ways to receive prompts for updating units.
Now possible to send a single item from one unit to everyone in the class in a single step.
Improvements to screen monitoring.
New Functionality (Calculator Software)
Added lower/upper optional inputs in cumulative probability functions. Binomial arguments now consistently ordered.
Add ability to mix and edit CAS functions inline as part of larger programs  #cas to start a block, and #end to end it.
New variables Notes and Programs created to allow programatic access.
Geometry variables Instruction and DelInstruction provide programatic access to geometry constructions.
Much faster scrolling in large notes, programs and equations.
There is now an “Info” menu key in the memory manager. It reports free ram and available storage.
VARS menu now has a “system” group which contains general system variables.
TOff variable introduced. It is a millisecond value with minimum of 5s.
TIME was renamed to TEVAL to avoid confusion with Time variable. Also now shows up in the catalog.
SERIAL and VERSION commands introduced.
Added an implicit_diff command to simplify implicit differentiation steps.
Improved help throughout system and connected it in more places.
New Functionality (Virtual Calculator)
Japanese user interface turned on for menus.
There is now an “Info” menu key in the memory manager. It reports used ram and available storage.
Resolved issues and changes excluding CAS

Resolved issue with x^{2} key in RPN and potential problem with app deletion.

Resolved potential issue pasting formatted text into notes.

Improved cursor positioning when working with very large notes or programs.

Resolved issues with style selection in note editor.

Resolved issue using large font in inference table view.

Resolved issue storing into some inference variables from the command line.

Improved spreadsheet to allow loading old format without issue.

Resolved issue where plotfunc in command line could blink while help was open.

Resolved issue with vector use involving MAKELIST and list2mat.

Resolved issues with printing some messages from the CAS.

Resolved issue where connectivity kit did not allow an empty password for exam mode.

e^{t}2 not printing with parens making it appear wrong. As part of fix, removed superscript 2 character from [x^{2}] key. Now does ^2 instead.

Resolved some issues with various FILLPOLY inputs.

Resolved issue with Send button not showing up on the emulator when selected to communicate with a calculator.

Resolve issue in connectivity kit where menu cut/copy/paste were not always working in some places.

Improved poll response to prompt for verification on single send, or with missing responses.

Resolved issue with digit grouping making equations appear strangely in a few locations.

Resolved an issue where [a b/c] could hide a negative sign.

Resolved issue with using matrix store notation M1(5,1) on a vector.

Resolved many issues in INPUT command. Also, chooser indexes in INPUT command were 0 based instead of 1.

Introduced “Fit” variable in 2var statistics to programmatically control fit line removal.

Resolved issue involving SetFreq.

Resolved issue using built in function variables in makelist. ex: MAKELIST(F1,X,1,5,1)

Brought back OS version on help about screen.

Improved color choosers through system so initial color selection matches the current selection.

Improved first boot screen.

Resolved issue with REGRS command and trig fit.

Some “NIST” group went and changed the definition of Faraday.

Resolved issues with alphabetical app sorting.

Switched to have fsolve in CAS>solve menu instead of less capable nSolve command.

Improved the exam mode password/time screen to show remaining time better.

Improved sleep to avoid the calculator from sleeping while streamer is connected and active.

Resolved issue where terminal scrolling could hang system. Also added a titlebar on the terminal.

Resolved issue with E+5/ interpreted as (E+5)/ instead of E+5/

Removed ` from catalog. (auto eval quote)

Resolved issue with program dialog box and digit grouping.

Resolved memory issue in parser when using ICON keyword.

Resolved issue where a matrix stored by M2:=M1 in home edited both M1 and M2.

Resolved issue with digit grouping in solve application preventing solving with numbers >1000.

Resolved issue with kinetic scrolling and editors.

Enlarged size of advanced graphing memory so more scrolling can happen before redraw is needed.

Resolved issue where define F1=…, F2=d F1(X) / X=X in symb, PLOT view, and then exit could cause undesirable effects.

Resolved display issue where DMS value –1<x<0 was not showing negative sign.

Improves Function app/Plot/Fcn/Root reports for some functions that jump over zeros.

Resolved issue where STRING function was not working well with 4 or more parameters.

Resolved issue where DRAWMENU was not able to use pictures as sources
Resolved issues and changes in CAS

Improved simplify handling of surd/nthroot

concat now accepts more than 2 arguments

Fix for int(1/x^{2},x,0,inf)

Fix for fisher_cdf(5,6,2.1,∞)

Changes for arcLen  support for curves having more than one arc and for points instead of parameter values for boundaries

Additional checks for low accuracy integrals by gaussian quadratures to avoid Romberg method, example int(1/sqrt(1x^{6}),x,0,1.)

Improves multiple integrals like int(int(int(sqrt(x^{2+z}2),z,sqrt(yx^{2),sqrt(yx}2)),y,x^{2},4),x,–2,2)

Fix for desolve(y’’=1/x^{2})

Fix for sign, for example sign(sin(6283185307179586/1000000000000000))

Fix for int((1x)^(2/3)*x^(1/3),x,0,1)

Fix for expand(x*2.9e–13+6.3e–13)

Enables new syntax for substitution in expression like f:=x^{2+1}; f(x=1)

int(1/sqrt(1+x^{3}),x,0.0,∞) now returns an approximate answer

Fix for (f)solve(((3.068E–3/(0.118+1.001E–5X))(((1+2.126E–5X)/(1+8.506E–5X))(0.3+2.55E–5X)))=0,X);

Setting default arg to 0 in piecewise to make limit work

Added support for complex numbers in pmin

Fix for limit((–9x^{69+x}47+10)/(–7x^{69+x}46+10),x=inf)

Remove autosimplification after ‘reorder’

Fix for limit(surd(3^{x+5}x,x),x,inf)

Fix for solve(6e–34*f=g,f)

Sort proot output

If taylor or series have polynom as optional last arg, the order_size term is removed (shortcut for convert(series(…),polynom) to series(…,polynom))

Improve warning for some ode that can not be solve explicitly

Fix for int(x²/(9+x^{6}),x,inf,inf), int(1/(x^{2} + 6*x + 12),x,inf,inf)

Fix for trigtan(sin(x)/cos(x)) and for cSolve(x^{4}–1=3)

SVD warnings for exact/symbolic matrices

Fix for GD:=line(y=(4859/2500ln(20)+631/125+(–4859/100000ln(20)–631/5000)x)):;GG:=plotfunc(1.301ln(x)+3.406,x,–50,50):;single_inter(D,G);

Changed ihermite to return a list

Simplification of conj(conj()), conj(re()) and conj(im())

median({1,2,3,4}) returns 2.5

rsolve now handles homographic recurrences if the fixed point has multiplicity 2

Computation of Beta(x,y) if x>0, y>0 and x+y is integer, recognition of integrals solvable by Beta, e.g. int(x^{(1/3)*(1x)}(2/3),x,0,1)

If partfrac optional 2nd argument is a sqrt, does partial fraction expansion with factorization over this field extension

Fixes for rootof (root selection and i with rootof)

Improves arg and evalc for pow of complex numbers

Fixes solve with piecewise containing a sqrt

Fix for solve(x^{5=}–1)

laplace now switches to exact mode

Fix for piecewise in regroup and solve

Fix order for regroup (fraction/monomials)

Fix for SVD

Fix for string(matrix), sum(sin(n*x)/n^{2},n,1,inf), fsolve in degree mode without interval/guess

Fix for Groebner basis and fix for comparing 2 symbolic complexes having the same imaginary part

Improves some simplifications like abs(exp(i*x)+1) and some integrals of periodic function over a period

Avoid rootofs for some factorizations

Change for product/sum, e.g. for product(n,n,1/2,3,1/2)

Calls exact on limit arguments

Change piecewise printing to CASE

Fix for int(exp(x)/(1+x^{2}),x,0,inf)

Fix complexroot(x^{3+8},1e–5,0,2+2*i)

Fix for solve(sin(x)=sin(2x))

Accept = instead of  in zeros and czeros

Call normal on inverse of matrix

Fix for int(abs(sin(x)cos(x–1)),x,0,3)

fsolve now returns itself if the equation has more than 1 var, making commands like fsolve(int(fsolve(x^{5+x=y},x,1e–14),y,0,t)=1/3,t=1.0) possible

Improve detection of polynomial equation by fsolve. If fsolve has only one solution in a polynomial equation, returns the solution instead of a list of one solution

Fix printing of ()^.5 (was incorrectly printed as sqrt())

Fix for int(1/surd(x–1,5),x,1,33)

Fix for desolve(y’’+1/(x+1)=0,x,y)

Make resultant with 0 return 0

Fix for ifactor(373196531)

Fix for SVD of matrices having more columns than rows

Make sorta/sortd work with complex numbers (sorting by real parts)

Changed number of Pollardrho tries for ifactor(2^{101+5}), removed some optimizations that seems to fail in some rare occurrences

Integration  small improvement recognizing f(u)*u’ pattern

pmin now accepts sqrt and other algebraic extension of Q

round([a,b],c) fixed

Make limit(exp(–1/x^{2})/x,x=0) work

Fixed iquorem to behave like iquo+irem with negative integers

Fix for int(frac(x),x,–1,2), int(frac(x),x,0,6.4)

Fix for int(sqrt((t–5cos(t))^2 + (6cos(1+sin(t)))^2),t,0,3)

Fix for factor(3acos(sqrt(3)ln(x)/2)bsin(sqrt(3)ln(x)/2)sqrt(3)asin(sqrt(3)ln(x)/2)+sqrt(3)bcos(sqrt(3)*ln(x)/2))

Fix for sum_riemann(1/sqrt(n^{2+k}2),[n,k])