NestWhile

NestWhile[f,expr,test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. 

NestWhile[f,expr,test,m] supplies the most recent m results as arguments for test at each step. 

NestWhile[f,expr,test,All] supplies all results so far as arguments for test at each step. 

NestWhile[f,expr,test,m,max] applies f at most max times. 

NestWhile[f,expr,test,m,max,n] applies f an extra n times. 

NestWhile[f,expr,test,m,max,-n] returns the result found when f had been applied n fewer times. 

Please visit the official Wolfram Language Reference for more details and examples on core symbols.