Does a number close always mean successful game? Or let me put it another way: if a girl is giving you her number is she necessarily attracted to you? Is there other reasons, if we rule out the possibility that she is trying to get rid of you by doing this?

Hello my country mate
Her giving you a number doesent mean that she is attracted to you and there fore its not equal to your succes rate. Like you said, she can give you a fake number in order to get ridd of you.
Instead what matters when she gives you her number is that how much you did build up kino, rapport and comfort while sosializing with her. Those elements are the keys that makes her to answer when you are calling or texting. The time you spend with her AINT equal to what she feels towards you and thats why time as a concept doesent mean that she would go out with you even tough you would manage to keep yourself in a set like 20 minutes. Yes, staying longer in the set may be a sign of them not feeling you as a threat but it doesent actually indicate that they would sleep with you. You might be in the friend zone or a funny entertainer to them where you as a man see them loving you and your stuff.

[ Johnny B ]

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When you lose, don't lose the lesson. ~Author Unknown
Fear has a large shadow, but he himself is small. ~Ruth Gendler

No matter what your goals are . . . ALWAYS number close. Young kids make a huge thing of it but this is what NORMAL people do. You meet somebody, befriend them, share contact information, and then use that contact info to hang out again at another time. This is done all the time in every day life.

Even if you think you have a ONS on your hands, get her number early on. It demonstrates to her that there's some sort of "future" here. (regardless of what that future may be) It demonstrates to her that you are a normal, straight headed person who is interested in her. I demonstrates to her that your perception of a "contact info" is JUST THAT: It's a way to contact her later and THAT'S IT. It shows her that you will contact her later regardless of what happens tonight.

Any guy or girl who makes a huge deal of a phone number has had less than 3 dates in his/her lifetime or has some issues with making new friends.