Withdrawal method (pulling out the penis before ejaculation) is not a secure contraceptive method. Condoms, birth control pills, and IUDs (intra-uterine devices) are the most secure contraceptive methods. An IUD is not recommended for you but you should really think about using condoms or pills.
Precum can contain spermatozoids and theoretically can make you pregnant but practically the number of present spermatozoids in the precum is so small that pregnancy is unlikely.
The first serious sign of pregnancy is missing the expected period. According to your last period date you will probably know somewhere in the middle of June. Missing the expected period is the first but not always the most secure sign of pregnancy because there are certain other conditions that can also cause a missing period. That’s why a pregnancy test is the only way you can find out if you are pregnant or not. Home pregnancy tests (tests that use urine) can detect a pregnancy after a period is missing (15-20 days after conception). Blood pregnancy tests are performed in medical institutions and they can detect pregnancy even 5 days before the expected period date (or 10 days after conception). Pregnancy can be detected when the fertilized egg-cell embeds in the uterus and that happens 8-10 days after conception. This means that there is no way you can find out if you are pregnant or not in the first 8-10 days after conception.
Pregnancy age is counted starting from the date of the last period. This means that when a period is missed the pregnancy is already more than 4 weeks old. A blood pregnancy test can detect pregnancy in the 4th week.
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