Well from the picture i would agree with you this doesnt look like razor burn but it can be a couple of other things. One thing whichcomes to mind is molluscum contagiosum which is a viral infection usually transmitted via sexual intercourse. It causea painless rash which is flesh colored or whitish in nature and would usually form a dome with an opening in it. This would then extrude out white cheesy material. This can be treated effectively and in most cases is harmless in adults. While right now they are not completely consistent with molluscum contagiosums appearance it is possible that they may grow in size and if so may need removal by cryotherapy etc.
Another cause of this can be early genital warts which can appear in this manner, they can slowly grow in size to a more warts like appearance over time usually takes 2-3 months. In early cases they appear as flesh colored bumps which are painless in nature. The bestvway to determine if these are warts would be watch and wait and see if they grow in size and if they do, then they an be effectively removed with the help of topical medication like imiquimod or even with therapies like cryotherapy.
lastly Since they can be "popped" as you say it is possible that this is simple folliculitis which is causing inflammation of the hair follicle and thus causing an infection in the area, the white material can be the infected material being extruded. This can be managed with oral antibiotics. These can also be enlarged sebaceous cysts which can also be burst in this manner and are usually harmless. They can be removed for cosmetic reasons but usually require no treatment.
Now since these are persistent for the last few weeks, tyou do need to see a dermatologist the two most likely possibilities here are molluscum contagiosum and sebaceous cysts both of whom can be treated very easily by your dermatologist in his office. I would suggest that you do visit him at the earliest.
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