Our major suit responses to 1NT higher than the two level are unusual and indicate a desire for slam.
3 © and 3ª bids in response to 1 No Trump openers show a good five or six card suit and HCP sufficient to invite slam.
Opener, if interested in slam, should then cue bid Aces up the line.
N E S 1NT P 3 ª" 3 ª = * I'm 5+ in Spades with a big hand " 3NT 3NT = " Not this time, South North South ª xx ª AKQJxx © AQxx © KJx ¨ KQx ¨ Jx § KJxx § Qxxx
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N E S 1NT P 3 ©" 3 © = * I'm 5+ in Hearts with a big hand " 4§ P 4¨ "I have the Club Ace with Hearts" "... and I have the Diamond Ace" 6 © "That's all I need to hear, South" North South ª Kxx ª Qxx © Qxx © AKJxxx ¨ KQx ¨ AJx § AKxx § x