Intel Core i3 CPU is not 64 bit?

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http://askubuntu.com – According to this page: https://help.ubuntu.com/community/32bit_and_64bit the following Intel CPU's are 64bit: Intel F and 5x1 series Pentium 4 using the "Prescott" core Pentium D Core 2 (Solo, Duo & Quad) Core i5 (all) Core i7 (all) Isn't the Core i3 64 bit too? (HowTos)