can i compile sage with the Intel's compilers?

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GAP, a Sage component, won't correctly build on ia64 using icc-10. Something goes wrong with the garbage collection. (OK, ia64 is weird, though)

Nobody has ever built Sage with anything but GCC, though many people have tried.

It's conceivable that maybe the C code generated by Cython in the Sage library could be built with a different C compiler. However, since you'll be linking it with a bunch of code built using GCC, you'll be asking for trouble. I can't imagine that it would "just work". It couldn't hurt too much for you to try though.

I think David Kirkby has explored building Sage with the Sun Studio compiler. You can perhaps find out more by inquiring on sage-solaris or sage-devel.