There is approximately 52 days between the sacrifice of the passover lamb (Christ) and the day of Pentecost.
I do not believe that the last supper was a something that believers partook of, until the day of Pentecost (for 52 days) but rather until he comes again.
There are two very significant key points that Paul makes in his letters to the Church at Corinth...
1. It was to remember Christ shed blood as an atoning sacrifice on behalf of all believers until he comes.
2. This memorial was being practiced by the Church after Pentecost because Paul wrote these letters approximately 55 A. D. while in Ephesus and scholars have determined (based on biblical accounts) that Jesus was crucified around 30 (which some..considered too early a date) possibly 31 A. D.I Corinthians 1117 Now in giving these instructions I do not praise you, since you come together not for the better but for the worse. 18 For first of all, when you come together as a church, I hear that there are divisions among you, and in part I believe it. 19 For there must also be factions among you, that those who are approved may be recognized among you. 20 Therefore when you come together in one place, it is not to eat the Lord's Supper. 21 For in eating, each one takes his own supper ahead of others; and one is hungry and another is drunk. 22 What! Do you not have houses to eat and drink in? Or do you despise the church of God and shame those who have nothing? What shall I say to you? Shall I praise you in this? I do not praise you.Institution of the Lord’s Supper 23 For I received from the Lord that which I also delivered to you: that the Lord Jesus on the same night in which He was betrayed took bread; 24 and when He had given thanks, He broke it and said, “Take, eat; this is My body which is broken for you; do this in remembrance of Me.” 25 In the same manner He also took the cup after supper, saying, “This cup is the new covenant in My blood. This do, as often as you drink it, in remembrance of Me.”
26 For as often as you eat this bread and drink this cup, you proclaim the Lord’s death till He comes.
Examine Yourself 27 Therefore whoever eats this bread or drinks this cup of the Lord in an unworthy manner will be guilty of the body and blood of the Lord. 28 But let a man examine himself, and so let him eat of the bread and drink of the cup. 29 For he who eats and drinks in an unworthy manner eats and drinks judgment to himself, not discerning the Lord’s body. 30 For this reason many are weak and sick among you, and many sleep. 31 For if we would judge ourselves, we would not be judged. 32 But when we are judged, we are chastened by the Lord, that we may not be condemned with the world.
33 Therefore, my brethren, when you come together to eat, wait for one another. 34 But if anyone is hungry, let him eat at home, lest you come together for judgment. And the rest I will set in order when I come.
If Paul thought that partaking of the Lords Supper was not relevant for the Church at that time... he would have admonished them for it. (Did he not also have the Holy Spirit?)
Instead he urges them to examine themselves before doing so, lest they pour judgment upon themselves and therefore, be condemned along with the world.
Is the Lords Supper something that believers are to partake in until he comes again? I believe it is!