On Some of My Problems in Number Theory I Would Most like to See Solved

P. Erdös* Three years ago I wrote a paper entitled "On the problems in combinatorics I would most like to see solved ." In view of the vast quantity of unsolved problems in number theory many of which are in subjects in which I am not particularly competent it would be presumptuous not to change the title a bit . I will mostly discuss problems due to my collaborators and myself . Only in the end will I add a problem or two which I recently heard . I hope the reader will forgive a very old man if he adds some historical reminescences. I must do it while my memory and mind are still more or less intact since I can not hope to escape the two greatest evils,old age and stupidity, very much longer except by the "trivial method", which perhaps mistakenly I do not feel I have to use as yet . Recently at least two books appeared on unsolved problems in number theory . I will refer to these as I and II