Is the word prazer the same in Brazilian and European Portuguese?

No.

While the spelling, grammar, and literal meaning of "prazer" are identical in both dialects, there are differences in pronunciation and typical usage.

• Pronunciation: In Brazilian Portuguese, vowels tend to be more open and clearly articulated, and the "r" at the end of syllables can vary from a retroflex "r" (common in the interior) to an aspirated "h" sound (common in Rio de Janeiro). In Continental Portuguese, vowels are more closed or "reduced," often sounding swallowed or muffled, and the "r" is typically more guttural or uvular.
• Usage: In Brazil, "prazer" is frequently used as a standalone, informal greeting (e.g., "Prazer!"). In Portugal, while the word is used, speakers more naturally gravitate toward alternative expressions like "encantado/a" (delighted) or use "gosto" (pleasure/liking) to express the same sentiment of enjoyment or politeness.

Brazilian Portuguese Examples

1. Muito prazer em te conhecer. (Very pleased to meet you.)
2. É um prazer te ajudar com isso. (It is a pleasure to help you with this.)
3. O prazer é todo meu. (The pleasure is all mine.)
4. Foi um prazer enorme conversar com você. (It was a huge pleasure talking to you.)
5. Que prazer te ver por aqui! (What a pleasure to see you around here!)

Continental Portuguese Examples

1. Muito prazer em conhecê-lo. (Very pleased to meet you.)
2. É um gosto ajudar-te. (It is a pleasure to help you.)
3. O prazer é todo meu. (The pleasure is all mine.)
4. Foi um gosto conversar contigo. (It was a pleasure talking with you.)
5. Encantado! (Delighted/Pleased to meet you!)